NUTILS 9.0 "Jook-Sing"
arguments
length=6.283185307179586
thickness=0.5
rotation=90
increment=5
elemsize=0.5
poisson=0.4
restol=1e-08
trim=1.5707963267948966
stretch=1
degree=2
start 2025-04-10 02:34:57
0.0 deg
solve
optimizing for argument u (164,3,3) using minimize method
iter 0
residual norm: 2.5e-15
optimal value: 9.5e-16
energy.jpg
5.0 deg
solve
optimizing for argument u (164,3,3) using minimize method
iter 0
residual norm: 1.3e-02
iter 1
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 1e-16
spectrum: 2.1e-03..5.1e-01 (positive definite)
energy -1.53e-04 / e+0.0 and decreasing
residual norm: 2.2e-02 (-4%)
iter 2
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 2.0e-03..7.0e+00 (positive definite)
energy -3.53e-05 / e+0.5 and decreasing
residual norm: 1.1e-02 (1%)
iter 3
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 2.0e-03..1.9e+00 (positive definite)
energy -3.81e-05 / e+1.0 and decreasing
residual norm: 2.0e-02 (-3%)
iter 4
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 1e-16
spectrum: 2.0e-03..8.7e+00 (positive definite)
energy -2.55e-05 / e+1.5 and decreasing
residual norm: 1.1e-02 (1%)
iter 5
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.9e-03..3.3e+00 (positive definite)
energy -2.79e-05 / e+2.0 and decreasing
residual norm: 1.7e-02 (-2%)
iter 6
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.9e-03..8.5e+00 (positive definite)
energy -2.28e-05 / e+2.5 and decreasing
residual norm: 1.1e-02 (2%)
iter 7
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.9e-03..3.4e+00 (positive definite)
energy -4.05e-05 / e+3.0 and decreasing
residual norm: 1.6e-02 (-1%)
iter 8
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.9e-03..8.5e+00 (positive definite)
energy -3.08e-05 / e+3.5 and decreasing
residual norm: 1.0e-02 (2%)
iter 9
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.8e-03..3.5e+00 (positive definite)
energy -7.49e-05 / e+4.0 and decreasing
residual norm: 1.5e-02 (-1%)
iter 10
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.8e-03..8.5e+00 (positive definite)
energy -5.10e-05 / e+4.5 and decreasing
residual norm: 9.3e-03 (2%)
iter 11
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 1e-16
spectrum: 1.8e-03..3.5e+00 (positive definite)
energy -1.47e-04 / e+5.0 and decreasing
residual norm: 1.3e-02 (0%)
iter 12
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 1e-16
spectrum: 1.8e-03..8.5e+00 (positive definite)
energy -8.87e-05 / e+5.5 and decreasing
residual norm: 8.0e-03 (4%)
iter 13
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.7e-03..3.5e+00 (positive definite)
energy -2.47e-04 / e+6.0 and decreasing
residual norm: 1.0e-02 (2%)
iter 14
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 9e-17
spectrum: 1.7e-03..8.5e+00 (positive definite)
energy -1.20e-04 / e+6.5 and decreasing
residual norm: 5.7e-03 (6%)
iter 15
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 8e-17
spectrum: 1.7e-03..3.7e+00 (positive definite)
energy -2.37e-04 / e+7.0 and decreasing
residual norm: 5.0e-03 (7%)
iter 16
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 5e-17
spectrum: 1.7e-03..8.4e+00 (positive definite)
energy -6.86e-05 / e+7.5 and decreasing
residual norm: 2.4e-03 (12%)
iter 17
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 3e-17
spectrum: 1.7e-03..4.1e+00 (positive definite)
energy -5.76e-05 / e+8.0 and decreasing
residual norm: 9.2e-04 (19%)
iter 18
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 9e-18
spectrum: 1.6e-03..7.7e+00 (positive definite)
energy -4.72e-06 / e+8.5 and decreasing
residual norm: 2.5e-04 (28%)
iter 19
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 4e-18
spectrum: 1.6e-03..4.9e+00 (positive definite)
energy -6.58e-07 / e+9.0 and decreasing
residual norm: 2.1e-05 (46%)
iter 20
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-19
spectrum: 1.6e-03..7.0e+00 (positive definite)
energy -3.24e-09 / e+9.5 and decreasing
residual norm: 8.6e-07 (68%)
iter 21
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 1e-20
spectrum: 1.6e-03..5.7e+00 (positive definite)
energy -7.04e-12 / e+10.0 and decreasing
residual norm: 2.0e-09 (100%)
optimal value: 1.8e-03
energy.jpg
10.0 deg
solve
optimizing for argument u (164,3,3) using minimize method
iter 0
residual norm: 2.1e-02
iter 1
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 2.3e-03..6.6e+00 (positive definite)
energy -2.88e-05 / e+0.0 and decreasing
residual norm: 1.3e-02 (3%)
iter 2
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 2.2e-03..1.0e+00 (positive definite)
energy -9.27e-05 / e+0.5 and decreasing
residual norm: 2.8e-02 (-2%)
iter 3
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 2.0e-03..1.0e+01 (positive definite)
energy -4.17e-05 / e+1.0 and decreasing
residual norm: 1.2e-02 (4%)
iter 4
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 2.0e-03..2.5e+00 (positive definite)
energy -3.66e-05 / e+1.5 and decreasing
residual norm: 2.1e-02 (-0%)
iter 5
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 2.0e-03..9.4e+00 (positive definite)
energy -2.70e-05 / e+2.0 and decreasing
residual norm: 1.2e-02 (4%)
iter 6
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 2.0e-03..3.7e+00 (positive definite)
energy -3.37e-05 / e+2.5 and decreasing
residual norm: 1.8e-02 (1%)
iter 7
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 1.9e-03..9.1e+00 (positive definite)
energy -2.70e-05 / e+3.0 and decreasing
residual norm: 1.1e-02 (4%)
iter 8
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.9e-03..3.8e+00 (positive definite)
energy -5.48e-05 / e+3.5 and decreasing
residual norm: 1.6e-02 (2%)
iter 9
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 1e-16
spectrum: 1.9e-03..9.1e+00 (positive definite)
energy -4.03e-05 / e+4.0 and decreasing
residual norm: 1.0e-02 (5%)
iter 10
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.9e-03..3.8e+00 (positive definite)
energy -1.07e-04 / e+4.5 and decreasing
residual norm: 1.5e-02 (2%)
iter 11
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 1e-16
spectrum: 1.8e-03..9.1e+00 (positive definite)
energy -7.03e-05 / e+5.0 and decreasing
residual norm: 9.4e-03 (5%)
iter 12
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.8e-03..3.8e+00 (positive definite)
energy -2.05e-04 / e+5.5 and decreasing
residual norm: 1.3e-02 (3%)
iter 13
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.8e-03..9.1e+00 (positive definite)
energy -1.15e-04 / e+6.0 and decreasing
residual norm: 7.5e-03 (7%)
iter 14
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.8e-03..3.7e+00 (positive definite)
energy -2.92e-04 / e+6.5 and decreasing
residual norm: 8.5e-03 (6%)
iter 15
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 7e-17
spectrum: 1.8e-03..9.2e+00 (positive definite)
energy -1.13e-04 / e+7.0 and decreasing
residual norm: 4.3e-03 (11%)
iter 16
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 6e-17
spectrum: 1.7e-03..3.5e+00 (positive definite)
energy -1.75e-04 / e+7.5 and decreasing
residual norm: 3.1e-03 (13%)
iter 17
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 3e-17
spectrum: 1.7e-03..9.8e+00 (positive definite)
energy -2.32e-05 / e+8.0 and decreasing
residual norm: 1.0e-03 (21%)
iter 18
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-17
spectrum: 1.7e-03..2.9e+00 (positive definite)
energy -1.25e-05 / e+8.5 and decreasing
residual norm: 1.5e-04 (34%)
iter 19
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 9e-19
spectrum: 1.6e-03..1.1e+01 (positive definite)
energy -4.15e-08 / e+9.0 and decreasing
residual norm: 1.8e-05 (48%)
iter 20
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 3e-19
spectrum: 1.6e-03..2.5e+00 (positive definite)
energy -4.05e-09 / e+9.5 and decreasing
residual norm: 2.9e-08 (93%)
iter 21
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.5 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 7e-23
spectrum: 1.1e-03..1.1e+01 (positive definite)
energy -7.20e-17 / e+10.0 and decreasing
residual norm: 8.5e-10 (100%)
optimal value: 7.1e-03
energy.jpg
15.0 deg
solve
optimizing for argument u (164,3,3) using minimize method
iter 0
residual norm: 3.5e-02
iter 1
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.2 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 2.3e-03..9.2e+00 (positive definite)
energy -5.66e-05 / e+0.0 and decreasing
residual norm: 1.7e-02 (5%)
iter 2
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 1e-16
spectrum: 2.2e-03..3.0e+00 (positive definite)
energy -4.55e-05 / e+0.5 and decreasing
residual norm: 1.8e-02 (4%)
iter 3
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 2.1e-03..5.2e+00 (positive definite)
energy -3.23e-05 / e+1.0 and decreasing
residual norm: 1.6e-02 (5%)
iter 4
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 2.1e-03..5.7e+00 (positive definite)
energy -2.73e-05 / e+1.5 and decreasing
residual norm: 1.7e-02 (5%)
iter 5
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 2.0e-03..6.6e+00 (positive definite)
energy -2.65e-05 / e+2.0 and decreasing
residual norm: 1.5e-02 (5%)
iter 6
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 2.0e-03..6.0e+00 (positive definite)
energy -2.99e-05 / e+2.5 and decreasing
residual norm: 1.6e-02 (5%)
iter 7
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 2.0e-03..6.7e+00 (positive definite)
energy -3.33e-05 / e+3.0 and decreasing
residual norm: 1.4e-02 (6%)
iter 8
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 2.0e-03..6.0e+00 (positive definite)
energy -4.40e-05 / e+3.5 and decreasing
residual norm: 1.5e-02 (6%)
iter 9
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.9e-03..6.7e+00 (positive definite)
energy -5.37e-05 / e+4.0 and decreasing
residual norm: 1.3e-02 (6%)
iter 10
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 1e-16
spectrum: 1.9e-03..6.1e+00 (positive definite)
energy -7.99e-05 / e+4.5 and decreasing
residual norm: 1.4e-02 (6%)
iter 11
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.9e-03..6.8e+00 (positive definite)
energy -1.01e-04 / e+5.0 and decreasing
residual norm: 1.2e-02 (7%)
iter 12
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.9e-03..6.1e+00 (positive definite)
energy -1.52e-04 / e+5.5 and decreasing
residual norm: 1.2e-02 (7%)
iter 13
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.8e-03..6.8e+00 (positive definite)
energy -1.79e-04 / e+6.0 and decreasing
residual norm: 9.8e-03 (8%)
iter 14
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.8e-03..6.1e+00 (positive definite)
energy -2.30e-04 / e+6.5 and decreasing
residual norm: 8.3e-03 (9%)
iter 15
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 8e-17
spectrum: 1.8e-03..6.6e+00 (positive definite)
energy -2.09e-04 / e+7.0 and decreasing
residual norm: 6.0e-03 (12%)
iter 16
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 7e-17
spectrum: 1.8e-03..6.4e+00 (positive definite)
energy -1.62e-04 / e+7.5 and decreasing
residual norm: 3.5e-03 (15%)
iter 17
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 4e-17
spectrum: 1.7e-03..6.1e+00 (positive definite)
energy -7.62e-05 / e+8.0 and decreasing
residual norm: 1.6e-03 (20%)
iter 18
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-17
spectrum: 1.7e-03..7.3e+00 (positive definite)
energy -1.56e-05 / e+8.5 and decreasing
residual norm: 4.4e-04 (29%)
iter 19
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 5e-18
spectrum: 1.7e-03..5.0e+00 (positive definite)
energy -1.71e-06 / e+9.0 and decreasing
residual norm: 4.0e-05 (45%)
iter 20
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 4e-19
spectrum: 1.6e-03..8.7e+00 (positive definite)
energy -7.55e-09 / e+9.5 and decreasing
residual norm: 2.2e-06 (64%)
iter 21
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 3e-20
spectrum: 1.6e-03..4.0e+00 (positive definite)
energy -5.07e-11 / e+10.0 and decreasing
residual norm: 6.7e-10 (100%)
optimal value: 1.6e-02
energy.jpg
20.0 deg
solve
optimizing for argument u (164,3,3) using minimize method
iter 0
residual norm: 5.0e-02
iter 1
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.4 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 2.2e-03..9.9e+00 (positive definite)
energy -1.08e-04 / e+0.0 and decreasing
residual norm: 2.2e-02 (5%)
iter 2
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 2.1e-03..5.2e+00 (positive definite)
energy -4.54e-05 / e+0.5 and decreasing
residual norm: 1.6e-02 (7%)
iter 3
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 2.0e-03..3.4e+00 (positive definite)
energy -4.04e-05 / e+1.0 and decreasing
residual norm: 2.2e-02 (5%)
iter 4
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 2.0e-03..8.5e+00 (positive definite)
energy -3.12e-05 / e+1.5 and decreasing
residual norm: 1.4e-02 (8%)
iter 5
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.9e-03..4.0e+00 (positive definite)
energy -3.53e-05 / e+2.0 and decreasing
residual norm: 2.0e-02 (6%)
iter 6
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 1e-16
spectrum: 1.9e-03..8.8e+00 (positive definite)
energy -3.06e-05 / e+2.5 and decreasing
residual norm: 1.3e-02 (8%)
iter 7
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.9e-03..4.1e+00 (positive definite)
energy -4.63e-05 / e+3.0 and decreasing
residual norm: 1.9e-02 (6%)
iter 8
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.8e-03..8.8e+00 (positive definite)
energy -3.79e-05 / e+3.5 and decreasing
residual norm: 1.3e-02 (9%)
iter 9
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 1e-16
spectrum: 1.8e-03..4.1e+00 (positive definite)
energy -7.83e-05 / e+4.0 and decreasing
residual norm: 1.7e-02 (7%)
iter 10
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.8e-03..8.8e+00 (positive definite)
energy -5.93e-05 / e+4.5 and decreasing
residual norm: 1.2e-02 (9%)
iter 11
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.7e-03..4.1e+00 (positive definite)
energy -1.50e-04 / e+5.0 and decreasing
residual norm: 1.5e-02 (8%)
iter 12
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.7e-03..8.8e+00 (positive definite)
energy -1.03e-04 / e+5.5 and decreasing
residual norm: 9.9e-03 (10%)
iter 13
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 1e-16
spectrum: 1.7e-03..4.1e+00 (positive definite)
energy -2.63e-04 / e+6.0 and decreasing
residual norm: 1.2e-02 (9%)
iter 14
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.7e-03..8.9e+00 (positive definite)
energy -1.45e-04 / e+6.5 and decreasing
residual norm: 7.1e-03 (13%)
iter 15
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.6e-03..4.0e+00 (positive definite)
energy -2.90e-04 / e+7.0 and decreasing
residual norm: 6.8e-03 (13%)
iter 16
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 6e-17
spectrum: 1.6e-03..9.1e+00 (positive definite)
energy -9.27e-05 / e+7.5 and decreasing
residual norm: 3.1e-03 (18%)
iter 17
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 4e-17
spectrum: 1.6e-03..3.6e+00 (positive definite)
energy -9.31e-05 / e+8.0 and decreasing
residual norm: 1.5e-03 (23%)
iter 18
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 1e-17
spectrum: 1.5e-03..9.9e+00 (positive definite)
energy -5.76e-06 / e+8.5 and decreasing
residual norm: 3.7e-04 (32%)
iter 19
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 5e-18
spectrum: 1.5e-03..2.9e+00 (positive definite)
energy -1.55e-06 / e+9.0 and decreasing
residual norm: 1.5e-05 (52%)
iter 20
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.2 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 7e-20
spectrum: 1.4e-03..1.1e+01 (positive definite)
energy -2.85e-10 / e+9.5 and decreasing
residual norm: 9.8e-07 (70%)
iter 21
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 1e-20
spectrum: 1.4e-03..3.2e+00 (positive definite)
energy -9.05e-12 / e+10.0 and decreasing
residual norm: 1.5e-10 (100%)
optimal value: 2.8e-02
energy.jpg
25.0 deg
solve
optimizing for argument u (164,3,3) using minimize method
iter 0
residual norm: 6.5e-02
iter 1
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.5 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 1e-16
spectrum: 2.1e-03..1.0e+01 (positive definite)
energy -1.81e-04 / e+0.0 and decreasing
residual norm: 2.8e-02 (6%)
iter 2
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 2.0e-03..6.3e+00 (positive definite)
energy -5.93e-05 / e+0.5 and decreasing
residual norm: 1.6e-02 (9%)
iter 3
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.9e-03..2.7e+00 (positive definite)
energy -5.34e-05 / e+1.0 and decreasing
residual norm: 2.6e-02 (6%)
iter 4
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.8e-03..9.5e+00 (positive definite)
energy -3.80e-05 / e+1.5 and decreasing
residual norm: 1.4e-02 (10%)
iter 5
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.8e-03..3.0e+00 (positive definite)
energy -4.48e-05 / e+2.0 and decreasing
residual norm: 2.4e-02 (6%)
iter 6
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.8e-03..9.8e+00 (positive definite)
energy -3.53e-05 / e+2.5 and decreasing
residual norm: 1.3e-02 (10%)
iter 7
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 1e-16
spectrum: 1.7e-03..3.1e+00 (positive definite)
energy -5.67e-05 / e+3.0 and decreasing
residual norm: 2.2e-02 (7%)
iter 8
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.7e-03..9.8e+00 (positive definite)
energy -3.91e-05 / e+3.5 and decreasing
residual norm: 1.2e-02 (11%)
iter 9
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.6e-03..3.1e+00 (positive definite)
energy -9.41e-05 / e+4.0 and decreasing
residual norm: 2.0e-02 (8%)
iter 10
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.6e-03..9.8e+00 (positive definite)
energy -5.45e-05 / e+4.5 and decreasing
residual norm: 1.1e-02 (11%)
iter 11
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.6e-03..3.1e+00 (positive definite)
energy -1.77e-04 / e+5.0 and decreasing
residual norm: 1.7e-02 (8%)
iter 12
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.6e-03..9.8e+00 (positive definite)
energy -8.61e-05 / e+5.5 and decreasing
residual norm: 9.3e-03 (12%)
iter 13
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 1e-16
spectrum: 1.5e-03..3.1e+00 (positive definite)
energy -2.99e-04 / e+6.0 and decreasing
residual norm: 1.3e-02 (10%)
iter 14
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 1e-16
spectrum: 1.5e-03..9.8e+00 (positive definite)
energy -1.13e-04 / e+6.5 and decreasing
residual norm: 6.6e-03 (15%)
iter 15
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 9e-17
spectrum: 1.5e-03..3.0e+00 (positive definite)
energy -3.09e-04 / e+7.0 and decreasing
residual norm: 7.0e-03 (14%)
iter 16
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 6e-17
spectrum: 1.4e-03..1.0e+01 (positive definite)
energy -6.50e-05 / e+7.5 and decreasing
residual norm: 2.8e-03 (20%)
iter 17
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 4e-17
spectrum: 1.4e-03..2.7e+00 (positive definite)
energy -8.79e-05 / e+8.0 and decreasing
residual norm: 1.3e-03 (25%)
iter 18
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 8e-18
spectrum: 1.4e-03..1.1e+01 (positive definite)
energy -2.99e-06 / e+8.5 and decreasing
residual norm: 3.1e-04 (34%)
iter 19
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 4e-18
spectrum: 1.3e-03..2.3e+00 (positive definite)
energy -1.14e-06 / e+9.0 and decreasing
residual norm: 1.0e-05 (56%)
iter 20
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.3 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 4e-20
spectrum: 1.2e-03..1.1e+01 (positive definite)
energy -7.29e-11 / e+9.5 and decreasing
residual norm: 7.4e-07 (73%)
iter 21
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 9e-21
spectrum: 1.2e-03..3.9e+00 (positive definite)
energy -4.09e-12 / e+10.0 and decreasing
residual norm: 1.4e-09 (100%)
optimal value: 4.4e-02
energy.jpg
30.0 deg
solve
optimizing for argument u (164,3,3) using minimize method
iter 0
residual norm: 8.1e-02
iter 1
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.6 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 2.0e-03..1.0e+01 (positive definite)
energy -2.77e-04 / e+0.0 and decreasing
residual norm: 3.4e-02 (6%)
iter 2
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.2 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.9e-03..6.9e+00 (positive definite)
energy -8.02e-05 / e+0.5 and decreasing
residual norm: 1.8e-02 (10%)
iter 3
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.8e-03..2.6e+00 (positive definite)
energy -6.45e-05 / e+1.0 and decreasing
residual norm: 2.8e-02 (7%)
iter 4
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 1.7e-03..9.6e+00 (positive definite)
energy -4.31e-05 / e+1.5 and decreasing
residual norm: 1.5e-02 (11%)
iter 5
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 1.7e-03..3.1e+00 (positive definite)
energy -4.68e-05 / e+2.0 and decreasing
residual norm: 2.5e-02 (7%)
iter 6
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 1.6e-03..9.7e+00 (positive definite)
energy -3.74e-05 / e+2.5 and decreasing
residual norm: 1.4e-02 (11%)
iter 7
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.6e-03..3.2e+00 (positive definite)
energy -5.63e-05 / e+3.0 and decreasing
residual norm: 2.3e-02 (8%)
iter 8
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.6e-03..9.7e+00 (positive definite)
energy -4.03e-05 / e+3.5 and decreasing
residual norm: 1.3e-02 (12%)
iter 9
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 1.5e-03..3.2e+00 (positive definite)
energy -9.02e-05 / e+4.0 and decreasing
residual norm: 2.1e-02 (9%)
iter 10
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.5e-03..9.7e+00 (positive definite)
energy -5.49e-05 / e+4.5 and decreasing
residual norm: 1.1e-02 (12%)
iter 11
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 1.5e-03..3.2e+00 (positive definite)
energy -1.68e-04 / e+5.0 and decreasing
residual norm: 1.8e-02 (9%)
iter 12
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.4e-03..9.7e+00 (positive definite)
energy -8.64e-05 / e+5.5 and decreasing
residual norm: 9.8e-03 (13%)
iter 13
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.4e-03..3.2e+00 (positive definite)
energy -2.90e-04 / e+6.0 and decreasing
residual norm: 1.4e-02 (11%)
iter 14
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 1e-16
spectrum: 1.4e-03..9.7e+00 (positive definite)
energy -1.19e-04 / e+6.5 and decreasing
residual norm: 7.1e-03 (15%)
iter 15
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 9e-17
spectrum: 1.4e-03..3.1e+00 (positive definite)
energy -3.26e-04 / e+7.0 and decreasing
residual norm: 7.9e-03 (15%)
iter 16
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 6e-17
spectrum: 1.3e-03..9.9e+00 (positive definite)
energy -7.88e-05 / e+7.5 and decreasing
residual norm: 3.3e-03 (20%)
iter 17
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 5e-17
spectrum: 1.3e-03..2.9e+00 (positive definite)
energy -1.14e-04 / e+8.0 and decreasing
residual norm: 1.8e-03 (24%)
iter 18
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-17
spectrum: 1.3e-03..1.0e+01 (positive definite)
energy -5.68e-06 / e+8.5 and decreasing
residual norm: 4.5e-04 (33%)
iter 19
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 7e-18
spectrum: 1.2e-03..2.4e+00 (positive definite)
energy -2.44e-06 / e+9.0 and decreasing
residual norm: 2.3e-05 (51%)
iter 20
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.3 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 9e-20
spectrum: 1.1e-03..1.1e+01 (positive definite)
energy -4.88e-10 / e+9.5 and decreasing
residual norm: 1.9e-06 (67%)
iter 21
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 3e-20
spectrum: 1.1e-03..3.4e+00 (positive definite)
energy -3.19e-11 / e+10.0 and decreasing
residual norm: 2.3e-09 (100%)
optimal value: 6.3e-02
energy.jpg
35.0 deg
solve
optimizing for argument u (164,3,3) using minimize method
iter 0
residual norm: 9.8e-02
iter 1
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.9e-03..1.0e+01 (positive definite)
energy -3.96e-04 / e+0.0 and decreasing
residual norm: 4.0e-02 (6%)
iter 2
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.3 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.8e-03..7.3e+00 (positive definite)
energy -1.07e-04 / e+0.5 and decreasing
residual norm: 1.9e-02 (10%)
iter 3
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.7e-03..2.7e+00 (positive definite)
energy -7.46e-05 / e+1.0 and decreasing
residual norm: 2.9e-02 (8%)
iter 4
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.6e-03..9.3e+00 (positive definite)
energy -4.78e-05 / e+1.5 and decreasing
residual norm: 1.6e-02 (11%)
iter 5
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 1.5e-03..3.6e+00 (positive definite)
energy -4.67e-05 / e+2.0 and decreasing
residual norm: 2.5e-02 (9%)
iter 6
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.5e-03..9.3e+00 (positive definite)
energy -3.88e-05 / e+2.5 and decreasing
residual norm: 1.5e-02 (12%)
iter 7
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.5e-03..3.6e+00 (positive definite)
energy -5.36e-05 / e+3.0 and decreasing
residual norm: 2.3e-02 (9%)
iter 8
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.4e-03..9.3e+00 (positive definite)
energy -4.17e-05 / e+3.5 and decreasing
residual norm: 1.4e-02 (12%)
iter 9
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.4e-03..3.6e+00 (positive definite)
energy -8.22e-05 / e+4.0 and decreasing
residual norm: 2.1e-02 (10%)
iter 10
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.4e-03..9.3e+00 (positive definite)
energy -5.68e-05 / e+4.5 and decreasing
residual norm: 1.2e-02 (13%)
iter 11
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.3e-03..3.6e+00 (positive definite)
energy -1.51e-04 / e+5.0 and decreasing
residual norm: 1.8e-02 (10%)
iter 12
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.3e-03..9.3e+00 (positive definite)
energy -9.12e-05 / e+5.5 and decreasing
residual norm: 1.1e-02 (14%)
iter 13
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.3e-03..3.6e+00 (positive definite)
energy -2.69e-04 / e+6.0 and decreasing
residual norm: 1.5e-02 (12%)
iter 14
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.3e-03..9.3e+00 (positive definite)
energy -1.34e-04 / e+6.5 and decreasing
residual norm: 8.1e-03 (15%)
iter 15
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.2e-03..3.5e+00 (positive definite)
energy -3.36e-04 / e+7.0 and decreasing
residual norm: 8.9e-03 (15%)
iter 16
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 7e-17
spectrum: 1.2e-03..9.4e+00 (positive definite)
energy -1.08e-04 / e+7.5 and decreasing
residual norm: 4.2e-03 (20%)
iter 17
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 6e-17
spectrum: 1.2e-03..3.3e+00 (positive definite)
energy -1.54e-04 / e+8.0 and decreasing
residual norm: 2.6e-03 (23%)
iter 18
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-17
spectrum: 1.2e-03..1.0e+01 (positive definite)
energy -1.37e-05 / e+8.5 and decreasing
residual norm: 7.5e-04 (30%)
iter 19
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-17
spectrum: 1.1e-03..2.7e+00 (positive definite)
energy -6.19e-06 / e+9.0 and decreasing
residual norm: 7.0e-05 (45%)
iter 20
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 4e-19
spectrum: 1.1e-03..1.1e+01 (positive definite)
energy -6.51e-09 / e+9.5 and decreasing
residual norm: 6.9e-06 (59%)
iter 21
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 1e-19
spectrum: 1.1e-03..2.8e+00 (positive definite)
energy -4.67e-10 / e+10.0 and decreasing
residual norm: 4.7e-09 (100%)
optimal value: 8.6e-02
energy.jpg
40.0 deg
solve
optimizing for argument u (164,3,3) using minimize method
iter 0
residual norm: 1.1e-01
iter 1
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.8e-03..1.1e+01 (positive definite)
energy -5.40e-04 / e+0.0 and decreasing
residual norm: 4.7e-02 (6%)
iter 2
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.3 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.7e-03..7.5e+00 (positive definite)
energy -1.40e-04 / e+0.5 and decreasing
residual norm: 2.1e-02 (10%)
iter 3
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.5e-03..2.8e+00 (positive definite)
energy -8.55e-05 / e+1.0 and decreasing
residual norm: 3.0e-02 (8%)
iter 4
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.4e-03..8.9e+00 (positive definite)
energy -5.32e-05 / e+1.5 and decreasing
residual norm: 1.8e-02 (11%)
iter 5
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.4e-03..4.0e+00 (positive definite)
energy -4.79e-05 / e+2.0 and decreasing
residual norm: 2.5e-02 (9%)
iter 6
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.4e-03..8.9e+00 (positive definite)
energy -4.12e-05 / e+2.5 and decreasing
residual norm: 1.6e-02 (12%)
iter 7
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.3e-03..4.0e+00 (positive definite)
energy -5.26e-05 / e+3.0 and decreasing
residual norm: 2.3e-02 (10%)
iter 8
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 1.3e-03..8.9e+00 (positive definite)
energy -4.39e-05 / e+3.5 and decreasing
residual norm: 1.5e-02 (13%)
iter 9
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 1.3e-03..4.0e+00 (positive definite)
energy -7.68e-05 / e+4.0 and decreasing
residual norm: 2.1e-02 (10%)
iter 10
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 1.3e-03..8.9e+00 (positive definite)
energy -5.91e-05 / e+4.5 and decreasing
residual norm: 1.4e-02 (13%)
iter 11
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.2e-03..4.0e+00 (positive definite)
energy -1.37e-04 / e+5.0 and decreasing
residual norm: 1.9e-02 (11%)
iter 12
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.2e-03..8.9e+00 (positive definite)
energy -9.56e-05 / e+5.5 and decreasing
residual norm: 1.2e-02 (14%)
iter 13
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.2e-03..4.0e+00 (positive definite)
energy -2.49e-04 / e+6.0 and decreasing
residual norm: 1.5e-02 (12%)
iter 14
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 1e-16
spectrum: 1.2e-03..8.9e+00 (positive definite)
energy -1.48e-04 / e+6.5 and decreasing
residual norm: 9.2e-03 (16%)
iter 15
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.1e-03..3.9e+00 (positive definite)
energy -3.39e-04 / e+7.0 and decreasing
residual norm: 1.0e-02 (15%)
iter 16
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 8e-17
spectrum: 1.1e-03..9.0e+00 (positive definite)
energy -1.38e-04 / e+7.5 and decreasing
residual norm: 5.1e-03 (19%)
iter 17
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 7e-17
spectrum: 1.1e-03..3.7e+00 (positive definite)
energy -1.94e-04 / e+8.0 and decreasing
residual norm: 3.5e-03 (22%)
iter 18
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 3e-17
spectrum: 1.1e-03..9.5e+00 (positive definite)
energy -2.72e-05 / e+8.5 and decreasing
residual norm: 1.1e-03 (28%)
iter 19
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-17
spectrum: 1.1e-03..3.1e+00 (positive definite)
energy -1.31e-05 / e+9.0 and decreasing
residual norm: 1.7e-04 (40%)
iter 20
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-18
spectrum: 1.0e-03..1.0e+01 (positive definite)
energy -5.38e-08 / e+9.5 and decreasing
residual norm: 2.1e-05 (53%)
iter 21
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 3e-19
spectrum: 9.9e-04..2.7e+00 (positive definite)
energy -4.37e-09 / e+10.0 and decreasing
residual norm: 3.4e-08 (93%)
iter 22
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.5 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 9e-23
spectrum: 7.6e-04..1.0e+01 (positive definite)
energy -4.02e-16 / e+10.5 and decreasing
residual norm: 7.6e-10 (100%)
optimal value: 1.1e-01
energy.jpg
45.0 deg
solve
optimizing for argument u (164,3,3) using minimize method
iter 0
residual norm: 1.3e-01
iter 1
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.8 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.7e-03..1.1e+01 (positive definite)
energy -7.09e-04 / e+0.0 and decreasing
residual norm: 5.3e-02 (5%)
iter 2
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.4 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.6e-03..7.7e+00 (positive definite)
energy -1.80e-04 / e+0.5 and decreasing
residual norm: 2.3e-02 (11%)
iter 3
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 1.4e-03..2.9e+00 (positive definite)
energy -9.79e-05 / e+1.0 and decreasing
residual norm: 3.1e-02 (9%)
iter 4
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.3e-03..8.6e+00 (positive definite)
energy -5.95e-05 / e+1.5 and decreasing
residual norm: 2.0e-02 (12%)
iter 5
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 1.3e-03..4.3e+00 (positive definite)
energy -5.09e-05 / e+2.0 and decreasing
residual norm: 2.6e-02 (10%)
iter 6
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.3e-03..8.6e+00 (positive definite)
energy -4.46e-05 / e+2.5 and decreasing
residual norm: 1.8e-02 (12%)
iter 7
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.2e-03..4.4e+00 (positive definite)
energy -5.35e-05 / e+3.0 and decreasing
residual norm: 2.4e-02 (10%)
iter 8
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.2e-03..8.6e+00 (positive definite)
energy -4.67e-05 / e+3.5 and decreasing
residual norm: 1.6e-02 (13%)
iter 9
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.2e-03..4.4e+00 (positive definite)
energy -7.39e-05 / e+4.0 and decreasing
residual norm: 2.2e-02 (11%)
iter 10
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.2e-03..8.6e+00 (positive definite)
energy -6.16e-05 / e+4.5 and decreasing
residual norm: 1.5e-02 (13%)
iter 11
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.1e-03..4.3e+00 (positive definite)
energy -1.28e-04 / e+5.0 and decreasing
residual norm: 1.9e-02 (12%)
iter 12
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 1.1e-03..8.6e+00 (positive definite)
energy -9.90e-05 / e+5.5 and decreasing
residual norm: 1.3e-02 (14%)
iter 13
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.1e-03..4.3e+00 (positive definite)
energy -2.33e-04 / e+6.0 and decreasing
residual norm: 1.6e-02 (13%)
iter 14
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.1e-03..8.6e+00 (positive definite)
energy -1.58e-04 / e+6.5 and decreasing
residual norm: 1.0e-02 (16%)
iter 15
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.0e-03..4.3e+00 (positive definite)
energy -3.39e-04 / e+7.0 and decreasing
residual norm: 1.1e-02 (15%)
iter 16
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 1.0e-03..8.7e+00 (positive definite)
energy -1.66e-04 / e+7.5 and decreasing
residual norm: 6.0e-03 (19%)
iter 17
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 8e-17
spectrum: 1.0e-03..4.1e+00 (positive definite)
energy -2.32e-04 / e+8.0 and decreasing
residual norm: 4.4e-03 (21%)
iter 18
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 4e-17
spectrum: 9.7e-04..9.1e+00 (positive definite)
energy -4.60e-05 / e+8.5 and decreasing
residual norm: 1.6e-03 (27%)
iter 19
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-17
spectrum: 9.5e-04..3.5e+00 (positive definite)
energy -2.40e-05 / e+9.0 and decreasing
residual norm: 3.6e-04 (36%)
iter 20
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 3e-18
spectrum: 9.2e-04..1.0e+01 (positive definite)
energy -2.74e-07 / e+9.5 and decreasing
residual norm: 5.1e-05 (48%)
iter 21
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 7e-19
spectrum: 9.0e-04..2.8e+00 (positive definite)
energy -2.60e-08 / e+10.0 and decreasing
residual norm: 2.1e-07 (81%)
iter 22
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.4 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 7e-22
spectrum: 7.5e-04..1.0e+01 (positive definite)
energy -2.42e-14 / e+10.5 and decreasing
residual norm: 5.2e-09 (100%)
optimal value: 1.4e-01
energy.jpg
50.0 deg
solve
optimizing for argument u (164,3,3) using minimize method
iter 0
residual norm: 1.5e-01
iter 1
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.6e-03..1.1e+01 (positive definite)
energy -9.07e-04 / e+0.0 and decreasing
residual norm: 6.0e-02 (5%)
iter 2
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.4 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.4e-03..7.8e+00 (positive definite)
energy -2.26e-04 / e+0.5 and decreasing
residual norm: 2.6e-02 (11%)
iter 3
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.3e-03..3.1e+00 (positive definite)
energy -1.12e-04 / e+1.0 and decreasing
residual norm: 3.3e-02 (9%)
iter 4
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 1.2e-03..8.3e+00 (positive definite)
energy -6.70e-05 / e+1.5 and decreasing
residual norm: 2.1e-02 (12%)
iter 5
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.2e-03..4.6e+00 (positive definite)
energy -5.52e-05 / e+2.0 and decreasing
residual norm: 2.7e-02 (10%)
iter 6
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 1.2e-03..8.3e+00 (positive definite)
energy -4.90e-05 / e+2.5 and decreasing
residual norm: 1.9e-02 (12%)
iter 7
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.1e-03..4.6e+00 (positive definite)
energy -5.57e-05 / e+3.0 and decreasing
residual norm: 2.4e-02 (11%)
iter 8
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.1e-03..8.3e+00 (positive definite)
energy -5.00e-05 / e+3.5 and decreasing
residual norm: 1.8e-02 (13%)
iter 9
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.1e-03..4.6e+00 (positive definite)
energy -7.29e-05 / e+4.0 and decreasing
residual norm: 2.2e-02 (11%)
iter 10
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.0e-03..8.3e+00 (positive definite)
energy -6.42e-05 / e+4.5 and decreasing
residual norm: 1.6e-02 (14%)
iter 11
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 1.0e-03..4.6e+00 (positive definite)
energy -1.21e-04 / e+5.0 and decreasing
residual norm: 2.0e-02 (12%)
iter 12
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.0e-03..8.3e+00 (positive definite)
energy -1.02e-04 / e+5.5 and decreasing
residual norm: 1.4e-02 (14%)
iter 13
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 9.8e-04..4.6e+00 (positive definite)
energy -2.21e-04 / e+6.0 and decreasing
residual norm: 1.7e-02 (13%)
iter 14
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 9.6e-04..8.3e+00 (positive definite)
energy -1.66e-04 / e+6.5 and decreasing
residual norm: 1.1e-02 (16%)
iter 15
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 9.4e-04..4.6e+00 (positive definite)
energy -3.37e-04 / e+7.0 and decreasing
residual norm: 1.2e-02 (15%)
iter 16
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 9.2e-04..8.4e+00 (positive definite)
energy -1.91e-04 / e+7.5 and decreasing
residual norm: 7.1e-03 (18%)
iter 17
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 9e-17
spectrum: 9.0e-04..4.4e+00 (positive definite)
energy -2.68e-04 / e+8.0 and decreasing
residual norm: 5.4e-03 (20%)
iter 18
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 5e-17
spectrum: 8.8e-04..8.8e+00 (positive definite)
energy -7.00e-05 / e+8.5 and decreasing
residual norm: 2.2e-03 (26%)
iter 19
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 3e-17
spectrum: 8.6e-04..3.8e+00 (positive definite)
energy -4.00e-05 / e+9.0 and decreasing
residual norm: 6.4e-04 (33%)
iter 20
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 5e-18
spectrum: 8.3e-04..9.8e+00 (positive definite)
energy -1.00e-06 / e+9.5 and decreasing
residual norm: 1.1e-04 (44%)
iter 21
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-18
spectrum: 8.1e-04..3.1e+00 (positive definite)
energy -1.14e-07 / e+10.0 and decreasing
residual norm: 1.1e-06 (72%)
iter 22
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.2 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 4e-21
spectrum: 7.2e-04..1.0e+01 (positive definite)
energy -1.01e-12 / e+10.5 and decreasing
residual norm: 3.2e-08 (93%)
iter 23
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 4e-22
spectrum: 7.1e-04..4.0e+00 (positive definite)
energy -6.22e-15 / e+11.0 and decreasing
residual norm: 1.0e-12 (100%)
optimal value: 1.7e-01
energy.jpg
55.0 deg
solve
optimizing for argument u (164,3,3) using minimize method
iter 0
residual norm: 1.7e-01
iter 1
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.4e-03..1.1e+01 (positive definite)
energy -1.14e-03 / e+0.0 and decreasing
residual norm: 6.7e-02 (5%)
iter 2
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.4 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.3e-03..7.9e+00 (positive definite)
energy -2.79e-04 / e+0.5 and decreasing
residual norm: 2.8e-02 (11%)
iter 3
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 1.2e-03..3.2e+00 (positive definite)
energy -1.29e-04 / e+1.0 and decreasing
residual norm: 3.4e-02 (9%)
iter 4
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.1e-03..8.1e+00 (positive definite)
energy -7.58e-05 / e+1.5 and decreasing
residual norm: 2.3e-02 (12%)
iter 5
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.1e-03..4.9e+00 (positive definite)
energy -6.07e-05 / e+2.0 and decreasing
residual norm: 2.8e-02 (11%)
iter 6
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.0e-03..8.1e+00 (positive definite)
energy -5.42e-05 / e+2.5 and decreasing
residual norm: 2.1e-02 (13%)
iter 7
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 1.0e-03..4.9e+00 (positive definite)
energy -5.89e-05 / e+3.0 and decreasing
residual norm: 2.6e-02 (11%)
iter 8
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 9.9e-04..8.1e+00 (positive definite)
energy -5.39e-05 / e+3.5 and decreasing
residual norm: 1.9e-02 (13%)
iter 9
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 9.6e-04..4.8e+00 (positive definite)
energy -7.32e-05 / e+4.0 and decreasing
residual norm: 2.3e-02 (12%)
iter 10
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 9.4e-04..8.1e+00 (positive definite)
energy -6.70e-05 / e+4.5 and decreasing
residual norm: 1.7e-02 (14%)
iter 11
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 9.1e-04..4.8e+00 (positive definite)
energy -1.17e-04 / e+5.0 and decreasing
residual norm: 2.1e-02 (12%)
iter 12
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 9.0e-04..8.1e+00 (positive definite)
energy -1.04e-04 / e+5.5 and decreasing
residual norm: 1.5e-02 (14%)
iter 13
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 8.8e-04..4.8e+00 (positive definite)
energy -2.11e-04 / e+6.0 and decreasing
residual norm: 1.8e-02 (13%)
iter 14
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 8.6e-04..8.1e+00 (positive definite)
energy -1.72e-04 / e+6.5 and decreasing
residual norm: 1.3e-02 (16%)
iter 15
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 1e-16
spectrum: 8.4e-04..4.8e+00 (positive definite)
energy -3.34e-04 / e+7.0 and decreasing
residual norm: 1.3e-02 (15%)
iter 16
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 8.2e-04..8.2e+00 (positive definite)
energy -2.14e-04 / e+7.5 and decreasing
residual norm: 8.1e-03 (18%)
iter 17
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 9e-17
spectrum: 8.0e-04..4.6e+00 (positive definite)
energy -3.02e-04 / e+8.0 and decreasing
residual norm: 6.5e-03 (19%)
iter 18
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 6e-17
spectrum: 7.8e-04..8.5e+00 (positive definite)
energy -9.90e-05 / e+8.5 and decreasing
residual norm: 2.9e-03 (24%)
iter 19
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 4e-17
spectrum: 7.6e-04..4.1e+00 (positive definite)
energy -6.25e-05 / e+9.0 and decreasing
residual norm: 1.0e-03 (30%)
iter 20
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 8e-18
spectrum: 7.4e-04..9.4e+00 (positive definite)
energy -2.90e-06 / e+9.5 and decreasing
residual norm: 2.1e-04 (40%)
iter 21
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 3e-18
spectrum: 7.2e-04..3.3e+00 (positive definite)
energy -3.99e-07 / e+10.0 and decreasing
residual norm: 4.5e-06 (63%)
iter 22
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.2 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-20
spectrum: 6.7e-04..1.0e+01 (positive definite)
energy -2.60e-11 / e+10.5 and decreasing
residual norm: 1.7e-07 (83%)
iter 23
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-21
spectrum: 6.6e-04..3.4e+00 (positive definite)
energy -2.36e-13 / e+11.0 and decreasing
residual norm: 3.2e-12 (100%)
optimal value: 2.1e-01
energy.jpg
60.0 deg
solve
optimizing for argument u (164,3,3) using minimize method
iter 0
residual norm: 1.9e-01
iter 1
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.9 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 1.3e-03..1.1e+01 (positive definite)
energy -1.40e-03 / e+0.0 and decreasing
residual norm: 7.5e-02 (5%)
iter 2
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.4 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.2e-03..7.9e+00 (positive definite)
energy -3.40e-04 / e+0.5 and decreasing
residual norm: 3.1e-02 (11%)
iter 3
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.1e-03..3.3e+00 (positive definite)
energy -1.48e-04 / e+1.0 and decreasing
residual norm: 3.6e-02 (10%)
iter 4
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 9.9e-04..7.9e+00 (positive definite)
energy -8.57e-05 / e+1.5 and decreasing
residual norm: 2.5e-02 (12%)
iter 5
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 9.6e-04..5.0e+00 (positive definite)
energy -6.73e-05 / e+2.0 and decreasing
residual norm: 3.0e-02 (11%)
iter 6
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 9.4e-04..8.0e+00 (positive definite)
energy -6.01e-05 / e+2.5 and decreasing
residual norm: 2.2e-02 (13%)
iter 7
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 9.1e-04..5.0e+00 (positive definite)
energy -6.32e-05 / e+3.0 and decreasing
residual norm: 2.7e-02 (12%)
iter 8
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 8.9e-04..8.0e+00 (positive definite)
energy -5.84e-05 / e+3.5 and decreasing
residual norm: 2.0e-02 (13%)
iter 9
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 8.6e-04..5.0e+00 (positive definite)
energy -7.46e-05 / e+4.0 and decreasing
residual norm: 2.4e-02 (12%)
iter 10
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 8.4e-04..7.9e+00 (positive definite)
energy -7.01e-05 / e+4.5 and decreasing
residual norm: 1.9e-02 (14%)
iter 11
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 8.2e-04..5.0e+00 (positive definite)
energy -1.14e-04 / e+5.0 and decreasing
residual norm: 2.2e-02 (13%)
iter 12
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 8.0e-04..7.9e+00 (positive definite)
energy -1.06e-04 / e+5.5 and decreasing
residual norm: 1.7e-02 (14%)
iter 13
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 7.8e-04..5.0e+00 (positive definite)
energy -2.02e-04 / e+6.0 and decreasing
residual norm: 1.9e-02 (14%)
iter 14
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 7.7e-04..7.9e+00 (positive definite)
energy -1.76e-04 / e+6.5 and decreasing
residual norm: 1.4e-02 (16%)
iter 15
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 7.5e-04..5.0e+00 (positive definite)
energy -3.30e-04 / e+7.0 and decreasing
residual norm: 1.4e-02 (15%)
iter 16
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 7.3e-04..8.0e+00 (positive definite)
energy -2.33e-04 / e+7.5 and decreasing
residual norm: 9.3e-03 (18%)
iter 17
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 7.1e-04..4.8e+00 (positive definite)
energy -3.34e-04 / e+8.0 and decreasing
residual norm: 7.7e-03 (19%)
iter 18
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 7e-17
spectrum: 7.0e-04..8.2e+00 (positive definite)
energy -1.32e-04 / e+8.5 and decreasing
residual norm: 3.7e-03 (23%)
iter 19
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 5e-17
spectrum: 6.8e-04..4.4e+00 (positive definite)
energy -9.22e-05 / e+9.0 and decreasing
residual norm: 1.6e-03 (28%)
iter 20
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-17
spectrum: 6.6e-04..9.1e+00 (positive definite)
energy -7.04e-06 / e+9.5 and decreasing
residual norm: 3.7e-04 (37%)
iter 21
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 5e-18
spectrum: 6.4e-04..3.5e+00 (positive definite)
energy -1.18e-06 / e+10.0 and decreasing
residual norm: 1.6e-05 (56%)
iter 22
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-19
spectrum: 6.0e-04..1.0e+01 (positive definite)
energy -4.00e-10 / e+10.5 and decreasing
residual norm: 8.1e-07 (74%)
iter 23
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-20
spectrum: 5.9e-04..3.2e+00 (positive definite)
energy -5.37e-12 / e+11.0 and decreasing
residual norm: 4.7e-11 (100%)
optimal value: 2.5e-01
energy.jpg
65.0 deg
solve
optimizing for argument u (164,3,3) using minimize method
iter 0
residual norm: 2.0e-01
iter 1
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.2e-03..1.1e+01 (positive definite)
energy -1.69e-03 / e+0.0 and decreasing
residual norm: 8.2e-02 (5%)
iter 2
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.5 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.1e-03..8.0e+00 (positive definite)
energy -4.09e-04 / e+0.5 and decreasing
residual norm: 3.4e-02 (11%)
iter 3
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 9.8e-04..3.4e+00 (positive definite)
energy -1.69e-04 / e+1.0 and decreasing
residual norm: 3.8e-02 (10%)
iter 4
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 8.9e-04..7.7e+00 (positive definite)
energy -9.70e-05 / e+1.5 and decreasing
residual norm: 2.7e-02 (12%)
iter 5
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 8.7e-04..5.2e+00 (positive definite)
energy -7.50e-05 / e+2.0 and decreasing
residual norm: 3.1e-02 (11%)
iter 6
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 8.4e-04..7.8e+00 (positive definite)
energy -6.69e-05 / e+2.5 and decreasing
residual norm: 2.4e-02 (13%)
iter 7
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 8.1e-04..5.2e+00 (positive definite)
energy -6.83e-05 / e+3.0 and decreasing
residual norm: 2.8e-02 (12%)
iter 8
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 7.9e-04..7.8e+00 (positive definite)
energy -6.34e-05 / e+3.5 and decreasing
residual norm: 2.2e-02 (13%)
iter 9
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 7.7e-04..5.2e+00 (positive definite)
energy -7.71e-05 / e+4.0 and decreasing
residual norm: 2.6e-02 (12%)
iter 10
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 7.5e-04..7.8e+00 (positive definite)
energy -7.36e-05 / e+4.5 and decreasing
residual norm: 2.0e-02 (14%)
iter 11
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 7.3e-04..5.2e+00 (positive definite)
energy -1.12e-04 / e+5.0 and decreasing
residual norm: 2.3e-02 (13%)
iter 12
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 7.2e-04..7.8e+00 (positive definite)
energy -1.08e-04 / e+5.5 and decreasing
residual norm: 1.8e-02 (14%)
iter 13
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 7.0e-04..5.1e+00 (positive definite)
energy -1.95e-04 / e+6.0 and decreasing
residual norm: 2.0e-02 (14%)
iter 14
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 6.8e-04..7.8e+00 (positive definite)
energy -1.79e-04 / e+6.5 and decreasing
residual norm: 1.5e-02 (16%)
iter 15
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 6.7e-04..5.1e+00 (positive definite)
energy -3.27e-04 / e+7.0 and decreasing
residual norm: 1.6e-02 (15%)
iter 16
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 1e-16
spectrum: 6.5e-04..7.8e+00 (positive definite)
energy -2.51e-04 / e+7.5 and decreasing
residual norm: 1.1e-02 (18%)
iter 17
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 6.4e-04..5.0e+00 (positive definite)
energy -3.63e-04 / e+8.0 and decreasing
residual norm: 9.0e-03 (19%)
iter 18
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 9e-17
spectrum: 6.2e-04..8.0e+00 (positive definite)
energy -1.69e-04 / e+8.5 and decreasing
residual norm: 4.6e-03 (23%)
iter 19
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 6e-17
spectrum: 6.0e-04..4.6e+00 (positive definite)
energy -1.29e-04 / e+9.0 and decreasing
residual norm: 2.3e-03 (27%)
iter 20
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-17
spectrum: 5.8e-04..8.8e+00 (positive definite)
energy -1.47e-05 / e+9.5 and decreasing
residual norm: 6.1e-04 (35%)
iter 21
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 8e-18
spectrum: 5.7e-04..3.8e+00 (positive definite)
energy -3.00e-06 / e+10.0 and decreasing
residual norm: 4.4e-05 (50%)
iter 22
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 3e-19
spectrum: 5.4e-04..1.0e+01 (positive definite)
energy -3.86e-09 / e+10.5 and decreasing
residual norm: 3.0e-06 (66%)
iter 23
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 4e-20
spectrum: 5.3e-04..3.2e+00 (positive definite)
energy -7.62e-11 / e+11.0 and decreasing
residual norm: 6.7e-10 (100%)
optimal value: 2.9e-01
energy.jpg
70.0 deg
solve
optimizing for argument u (164,3,3) using minimize method
iter 0
residual norm: 2.2e-01
iter 1
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.2e-03..1.1e+01 (positive definite)
energy -2.03e-03 / e+0.0 and decreasing
residual norm: 9.0e-02 (5%)
iter 2
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.5 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 1.0e-03..8.1e+00 (positive definite)
energy -4.87e-04 / e+0.5 and decreasing
residual norm: 3.6e-02 (11%)
iter 3
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 8.9e-04..3.5e+00 (positive definite)
energy -1.94e-04 / e+1.0 and decreasing
residual norm: 4.0e-02 (10%)
iter 4
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 8.1e-04..7.6e+00 (positive definite)
energy -1.10e-04 / e+1.5 and decreasing
residual norm: 2.9e-02 (12%)
iter 5
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 7.8e-04..5.3e+00 (positive definite)
energy -8.37e-05 / e+2.0 and decreasing
residual norm: 3.3e-02 (11%)
iter 6
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 7.6e-04..7.7e+00 (positive definite)
energy -7.46e-05 / e+2.5 and decreasing
residual norm: 2.6e-02 (13%)
iter 7
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 7.3e-04..5.3e+00 (positive definite)
energy -7.42e-05 / e+3.0 and decreasing
residual norm: 2.9e-02 (12%)
iter 8
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 7.1e-04..7.7e+00 (positive definite)
energy -6.91e-05 / e+3.5 and decreasing
residual norm: 2.3e-02 (13%)
iter 9
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 6.9e-04..5.3e+00 (positive definite)
energy -8.04e-05 / e+4.0 and decreasing
residual norm: 2.7e-02 (13%)
iter 10
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 6.7e-04..7.7e+00 (positive definite)
energy -7.77e-05 / e+4.5 and decreasing
residual norm: 2.1e-02 (14%)
iter 11
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 6.5e-04..5.3e+00 (positive definite)
energy -1.12e-04 / e+5.0 and decreasing
residual norm: 2.4e-02 (13%)
iter 12
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 6.4e-04..7.7e+00 (positive definite)
energy -1.11e-04 / e+5.5 and decreasing
residual norm: 1.9e-02 (15%)
iter 13
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 6.2e-04..5.3e+00 (positive definite)
energy -1.90e-04 / e+6.0 and decreasing
residual norm: 2.1e-02 (14%)
iter 14
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 6.1e-04..7.7e+00 (positive definite)
energy -1.82e-04 / e+6.5 and decreasing
residual norm: 1.6e-02 (16%)
iter 15
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 6.0e-04..5.3e+00 (positive definite)
energy -3.23e-04 / e+7.0 and decreasing
residual norm: 1.7e-02 (15%)
iter 16
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 5.8e-04..7.7e+00 (positive definite)
energy -2.66e-04 / e+7.5 and decreasing
residual norm: 1.2e-02 (17%)
iter 17
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 5.7e-04..5.2e+00 (positive definite)
energy -3.89e-04 / e+8.0 and decreasing
residual norm: 1.0e-02 (18%)
iter 18
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 1e-16
spectrum: 5.5e-04..7.9e+00 (positive definite)
energy -2.07e-04 / e+8.5 and decreasing
residual norm: 5.6e-03 (22%)
iter 19
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 7e-17
spectrum: 5.4e-04..4.8e+00 (positive definite)
energy -1.71e-04 / e+9.0 and decreasing
residual norm: 3.1e-03 (25%)
iter 20
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 3e-17
spectrum: 5.2e-04..8.6e+00 (positive definite)
energy -2.72e-05 / e+9.5 and decreasing
residual norm: 9.4e-04 (32%)
iter 21
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 1e-17
spectrum: 5.0e-04..4.0e+00 (positive definite)
energy -6.66e-06 / e+10.0 and decreasing
residual norm: 1.1e-04 (45%)
iter 22
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 8e-19
spectrum: 4.8e-04..9.8e+00 (positive definite)
energy -2.48e-08 / e+10.5 and decreasing
residual norm: 9.2e-06 (60%)
iter 23
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 1e-19
spectrum: 4.7e-04..3.3e+00 (positive definite)
energy -6.99e-10 / e+11.0 and decreasing
residual norm: 6.7e-09 (100%)
optimal value: 3.3e-01
energy.jpg
75.0 deg
solve
optimizing for argument u (164,3,3) using minimize method
iter 0
residual norm: 2.4e-01
iter 1
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.1e-03..1.1e+01 (positive definite)
energy -2.40e-03 / e+0.0 and decreasing
residual norm: 9.8e-02 (5%)
iter 2
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.5 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 9.4e-04..8.1e+00 (positive definite)
energy -5.75e-04 / e+0.5 and decreasing
residual norm: 3.9e-02 (11%)
iter 3
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 8.1e-04..3.5e+00 (positive definite)
energy -2.21e-04 / e+1.0 and decreasing
residual norm: 4.3e-02 (10%)
iter 4
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 7.4e-04..7.5e+00 (positive definite)
energy -1.24e-04 / e+1.5 and decreasing
residual norm: 3.1e-02 (12%)
iter 5
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 7.1e-04..5.5e+00 (positive definite)
energy -9.35e-05 / e+2.0 and decreasing
residual norm: 3.5e-02 (11%)
iter 6
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 6.9e-04..7.6e+00 (positive definite)
energy -8.31e-05 / e+2.5 and decreasing
residual norm: 2.8e-02 (13%)
iter 7
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 6.6e-04..5.4e+00 (positive definite)
energy -8.11e-05 / e+3.0 and decreasing
residual norm: 3.1e-02 (12%)
iter 8
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 6.4e-04..7.6e+00 (positive definite)
energy -7.55e-05 / e+3.5 and decreasing
residual norm: 2.5e-02 (13%)
iter 9
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 6.2e-04..5.4e+00 (positive definite)
energy -8.48e-05 / e+4.0 and decreasing
residual norm: 2.8e-02 (13%)
iter 10
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 6.1e-04..7.6e+00 (positive definite)
energy -8.24e-05 / e+4.5 and decreasing
residual norm: 2.3e-02 (14%)
iter 11
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 5.9e-04..5.4e+00 (positive definite)
energy -1.13e-04 / e+5.0 and decreasing
residual norm: 2.6e-02 (13%)
iter 12
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 5.8e-04..7.6e+00 (positive definite)
energy -1.14e-04 / e+5.5 and decreasing
residual norm: 2.0e-02 (15%)
iter 13
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 5.6e-04..5.4e+00 (positive definite)
energy -1.87e-04 / e+6.0 and decreasing
residual norm: 2.2e-02 (14%)
iter 14
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 5.5e-04..7.6e+00 (positive definite)
energy -1.85e-04 / e+6.5 and decreasing
residual norm: 1.8e-02 (15%)
iter 15
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 5.3e-04..5.4e+00 (positive definite)
energy -3.20e-04 / e+7.0 and decreasing
residual norm: 1.8e-02 (15%)
iter 16
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 5.2e-04..7.6e+00 (positive definite)
energy -2.80e-04 / e+7.5 and decreasing
residual norm: 1.3e-02 (17%)
iter 17
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 5.1e-04..5.3e+00 (positive definite)
energy -4.11e-04 / e+8.0 and decreasing
residual norm: 1.2e-02 (18%)
iter 18
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 4.9e-04..7.8e+00 (positive definite)
energy -2.45e-04 / e+8.5 and decreasing
residual norm: 6.7e-03 (21%)
iter 19
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 9e-17
spectrum: 4.8e-04..5.0e+00 (positive definite)
energy -2.18e-04 / e+9.0 and decreasing
residual norm: 4.0e-03 (24%)
iter 20
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 4e-17
spectrum: 4.6e-04..8.4e+00 (positive definite)
energy -4.50e-05 / e+9.5 and decreasing
residual norm: 1.4e-03 (31%)
iter 21
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-17
spectrum: 4.5e-04..4.2e+00 (positive definite)
energy -1.30e-05 / e+10.0 and decreasing
residual norm: 2.2e-04 (41%)
iter 22
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-18
spectrum: 4.3e-04..9.6e+00 (positive definite)
energy -1.13e-07 / e+10.5 and decreasing
residual norm: 2.3e-05 (54%)
iter 23
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 3e-19
spectrum: 4.2e-04..3.4e+00 (positive definite)
energy -4.37e-09 / e+11.0 and decreasing
residual norm: 4.7e-08 (91%)
iter 24
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.2 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-22
spectrum: 3.7e-04..1.0e+01 (positive definite)
energy -1.89e-15 / e+11.5 and decreasing
residual norm: 4.9e-10 (100%)
optimal value: 3.7e-01
energy.jpg
80.0 deg
solve
optimizing for argument u (164,3,3) using minimize method
iter 0
residual norm: 2.6e-01
iter 1
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 15.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 1.0e-03..1.1e+01 (positive definite)
energy -2.82e-03 / e+0.0 and decreasing
residual norm: 1.1e-01 (5%)
iter 2
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.6 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 8.7e-04..8.1e+00 (positive definite)
energy -6.74e-04 / e+0.5 and decreasing
residual norm: 4.2e-02 (11%)
iter 3
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 7.5e-04..3.6e+00 (positive definite)
energy -2.51e-04 / e+1.0 and decreasing
residual norm: 4.5e-02 (10%)
iter 4
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 6.7e-04..7.4e+00 (positive definite)
energy -1.39e-04 / e+1.5 and decreasing
residual norm: 3.3e-02 (12%)
iter 5
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 6.4e-04..5.6e+00 (positive definite)
energy -1.04e-04 / e+2.0 and decreasing
residual norm: 3.6e-02 (12%)
iter 6
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 6.3e-04..7.6e+00 (positive definite)
energy -9.25e-05 / e+2.5 and decreasing
residual norm: 2.9e-02 (13%)
iter 7
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 6.0e-04..5.6e+00 (positive definite)
energy -8.89e-05 / e+3.0 and decreasing
residual norm: 3.3e-02 (12%)
iter 8
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 5.9e-04..7.5e+00 (positive definite)
energy -8.27e-05 / e+3.5 and decreasing
residual norm: 2.7e-02 (13%)
iter 9
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 5.6e-04..5.5e+00 (positive definite)
energy -9.01e-05 / e+4.0 and decreasing
residual norm: 3.0e-02 (13%)
iter 10
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 5.5e-04..7.5e+00 (positive definite)
energy -8.78e-05 / e+4.5 and decreasing
residual norm: 2.4e-02 (14%)
iter 11
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 5.3e-04..5.5e+00 (positive definite)
energy -1.15e-04 / e+5.0 and decreasing
residual norm: 2.7e-02 (13%)
iter 12
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 5.2e-04..7.5e+00 (positive definite)
energy -1.17e-04 / e+5.5 and decreasing
residual norm: 2.2e-02 (15%)
iter 13
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 5.1e-04..5.5e+00 (positive definite)
energy -1.85e-04 / e+6.0 and decreasing
residual norm: 2.4e-02 (14%)
iter 14
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 5.0e-04..7.5e+00 (positive definite)
energy -1.89e-04 / e+6.5 and decreasing
residual norm: 1.9e-02 (15%)
iter 15
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 4.8e-04..5.5e+00 (positive definite)
energy -3.18e-04 / e+7.0 and decreasing
residual norm: 1.9e-02 (15%)
iter 16
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 4.7e-04..7.5e+00 (positive definite)
energy -2.92e-04 / e+7.5 and decreasing
residual norm: 1.4e-02 (17%)
iter 17
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 4.6e-04..5.4e+00 (positive definite)
energy -4.30e-04 / e+8.0 and decreasing
residual norm: 1.3e-02 (18%)
iter 18
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 1e-16
spectrum: 4.5e-04..7.6e+00 (positive definite)
energy -2.82e-04 / e+8.5 and decreasing
residual norm: 7.8e-03 (21%)
iter 19
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 9e-17
spectrum: 4.3e-04..5.2e+00 (positive definite)
energy -2.65e-04 / e+9.0 and decreasing
residual norm: 5.0e-03 (23%)
iter 20
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 5e-17
spectrum: 4.2e-04..8.2e+00 (positive definite)
energy -6.81e-05 / e+9.5 and decreasing
residual norm: 1.8e-03 (29%)
iter 21
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-17
spectrum: 4.0e-04..4.4e+00 (positive definite)
energy -2.28e-05 / e+10.0 and decreasing
residual norm: 3.9e-04 (38%)
iter 22
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 3e-18
spectrum: 3.9e-04..9.4e+00 (positive definite)
energy -3.83e-07 / e+10.5 and decreasing
residual norm: 5.1e-05 (50%)
iter 23
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 7e-19
spectrum: 3.8e-04..3.5e+00 (positive definite)
energy -1.97e-08 / e+11.0 and decreasing
residual norm: 2.3e-07 (82%)
iter 24
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.2 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 1e-21
spectrum: 3.4e-04..1.0e+01 (positive definite)
energy -5.93e-14 / e+11.5 and decreasing
residual norm: 3.4e-09 (100%)
optimal value: 4.2e-01
energy.jpg
85.0 deg
solve
optimizing for argument u (164,3,3) using minimize method
iter 0
residual norm: 2.9e-01
iter 1
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 15.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 9.9e-04..1.1e+01 (positive definite)
energy -3.29e-03 / e+0.0 and decreasing
residual norm: 1.2e-01 (5%)
iter 2
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.5 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 8.3e-04..8.2e+00 (positive definite)
energy -7.83e-04 / e+0.5 and decreasing
residual norm: 4.6e-02 (11%)
iter 3
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 6.9e-04..3.7e+00 (positive definite)
energy -2.84e-04 / e+1.0 and decreasing
residual norm: 4.7e-02 (10%)
iter 4
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.2 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 3e-16
spectrum: 6.2e-04..7.3e+00 (positive definite)
energy -1.56e-04 / e+1.5 and decreasing
residual norm: 3.6e-02 (12%)
iter 5
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 3e-16
spectrum: 5.9e-04..5.7e+00 (positive definite)
energy -1.17e-04 / e+2.0 and decreasing
residual norm: 3.8e-02 (12%)
iter 6
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 5.8e-04..7.5e+00 (positive definite)
energy -1.03e-04 / e+2.5 and decreasing
residual norm: 3.1e-02 (13%)
iter 7
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 5.5e-04..5.7e+00 (positive definite)
energy -9.76e-05 / e+3.0 and decreasing
residual norm: 3.4e-02 (12%)
iter 8
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 5.4e-04..7.5e+00 (positive definite)
energy -9.06e-05 / e+3.5 and decreasing
residual norm: 2.8e-02 (13%)
iter 9
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 5.2e-04..5.6e+00 (positive definite)
energy -9.62e-05 / e+4.0 and decreasing
residual norm: 3.1e-02 (13%)
iter 10
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 3e-16
spectrum: 5.1e-04..7.5e+00 (positive definite)
energy -9.40e-05 / e+4.5 and decreasing
residual norm: 2.6e-02 (14%)
iter 11
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 4.9e-04..5.6e+00 (positive definite)
energy -1.19e-04 / e+5.0 and decreasing
residual norm: 2.8e-02 (14%)
iter 12
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 4.8e-04..7.4e+00 (positive definite)
energy -1.22e-04 / e+5.5 and decreasing
residual norm: 2.3e-02 (15%)
iter 13
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 4.6e-04..5.6e+00 (positive definite)
energy -1.85e-04 / e+6.0 and decreasing
residual norm: 2.5e-02 (14%)
iter 14
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 4.5e-04..7.4e+00 (positive definite)
energy -1.93e-04 / e+6.5 and decreasing
residual norm: 2.0e-02 (15%)
iter 15
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 4.4e-04..5.6e+00 (positive definite)
energy -3.17e-04 / e+7.0 and decreasing
residual norm: 2.1e-02 (15%)
iter 16
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 4.3e-04..7.5e+00 (positive definite)
energy -3.04e-04 / e+7.5 and decreasing
residual norm: 1.6e-02 (17%)
iter 17
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 4.2e-04..5.5e+00 (positive definite)
energy -4.48e-04 / e+8.0 and decreasing
residual norm: 1.4e-02 (18%)
iter 18
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 1e-16
spectrum: 4.1e-04..7.6e+00 (positive definite)
energy -3.17e-04 / e+8.5 and decreasing
residual norm: 8.9e-03 (20%)
iter 19
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 3.9e-04..5.3e+00 (positive definite)
energy -3.12e-04 / e+9.0 and decreasing
residual norm: 6.0e-03 (23%)
iter 20
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 6e-17
spectrum: 3.8e-04..8.0e+00 (positive definite)
energy -9.58e-05 / e+9.5 and decreasing
residual norm: 2.4e-03 (28%)
iter 21
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
residual decreased by 0.0 orders using 3 krylov vectors
solver returned with residual 3e-17
spectrum: 3.7e-04..4.6e+00 (positive definite)
energy -3.65e-05 / e+10.0 and decreasing
residual norm: 6.3e-04 (36%)
iter 22
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 5e-18
spectrum: 3.5e-04..9.2e+00 (positive definite)
energy -1.04e-06 / e+10.5 and decreasing
residual norm: 9.6e-05 (47%)
iter 23
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 1e-18
spectrum: 3.4e-04..3.7e+00 (positive definite)
energy -6.83e-08 / e+11.0 and decreasing
residual norm: 8.9e-07 (74%)
iter 24
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 5e-21
spectrum: 3.1e-04..1.0e+01 (positive definite)
energy -1.02e-12 / e+11.5 and decreasing
residual norm: 1.8e-08 (97%)
iter 25
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-22
spectrum: 3.1e-04..3.7e+00 (positive definite)
energy -2.22e-15 / e+12.0 and decreasing
residual norm: 4.5e-14 (100%)
optimal value: 4.7e-01
energy.jpg
90.0 deg
solve
optimizing for argument u (164,3,3) using minimize method
iter 0
residual norm: 3.1e-01
iter 1
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 15.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 9.7e-04..1.1e+01 (positive definite)
energy -3.81e-03 / e+0.0 and decreasing
residual norm: 1.2e-01 (5%)
iter 2
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.6 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 3e-16
spectrum: 7.9e-04..8.2e+00 (positive definite)
energy -9.05e-04 / e+0.5 and decreasing
residual norm: 4.9e-02 (11%)
iter 3
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 3e-16
spectrum: 6.5e-04..3.7e+00 (positive definite)
energy -3.21e-04 / e+1.0 and decreasing
residual norm: 5.0e-02 (11%)
iter 4
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 3e-16
spectrum: 5.8e-04..7.3e+00 (positive definite)
energy -1.74e-04 / e+1.5 and decreasing
residual norm: 3.8e-02 (12%)
iter 5
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 3e-16
spectrum: 5.5e-04..5.8e+00 (positive definite)
energy -1.30e-04 / e+2.0 and decreasing
residual norm: 4.0e-02 (12%)
iter 6
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 3e-16
spectrum: 5.4e-04..7.4e+00 (positive definite)
energy -1.14e-04 / e+2.5 and decreasing
residual norm: 3.3e-02 (13%)
iter 7
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 3e-16
spectrum: 5.1e-04..5.8e+00 (positive definite)
energy -1.07e-04 / e+3.0 and decreasing
residual norm: 3.6e-02 (12%)
iter 8
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 5.0e-04..7.4e+00 (positive definite)
energy -9.93e-05 / e+3.5 and decreasing
residual norm: 3.0e-02 (13%)
iter 9
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 3e-16
spectrum: 4.8e-04..5.7e+00 (positive definite)
energy -1.03e-04 / e+4.0 and decreasing
residual norm: 3.3e-02 (13%)
iter 10
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 3e-16
spectrum: 4.7e-04..7.4e+00 (positive definite)
energy -1.01e-04 / e+4.5 and decreasing
residual norm: 2.7e-02 (14%)
iter 11
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 4.5e-04..5.7e+00 (positive definite)
energy -1.23e-04 / e+5.0 and decreasing
residual norm: 3.0e-02 (14%)
iter 12
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.0 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 4.4e-04..7.4e+00 (positive definite)
energy -1.28e-04 / e+5.5 and decreasing
residual norm: 2.5e-02 (15%)
iter 13
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.1 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 4.3e-04..5.7e+00 (positive definite)
energy -1.87e-04 / e+6.0 and decreasing
residual norm: 2.6e-02 (14%)
iter 14
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 4.2e-04..7.4e+00 (positive definite)
energy -1.99e-04 / e+6.5 and decreasing
residual norm: 2.1e-02 (15%)
iter 15
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 4.0e-04..5.7e+00 (positive definite)
energy -3.18e-04 / e+7.0 and decreasing
residual norm: 2.2e-02 (15%)
iter 16
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 4.0e-04..7.4e+00 (positive definite)
energy -3.16e-04 / e+7.5 and decreasing
residual norm: 1.7e-02 (17%)
iter 17
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 2e-16
spectrum: 3.8e-04..5.6e+00 (positive definite)
energy -4.63e-04 / e+8.0 and decreasing
residual norm: 1.5e-02 (17%)
iter 18
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-16
spectrum: 3.7e-04..7.5e+00 (positive definite)
energy -3.51e-04 / e+8.5 and decreasing
residual norm: 1.0e-02 (20%)
iter 19
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
spectrum: 3.6e-04..5.4e+00 (positive definite)
energy -3.57e-04 / e+9.0 and decreasing
residual norm: 7.0e-03 (22%)
iter 20
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
solver returned with residual 7e-17
spectrum: 3.5e-04..7.9e+00 (positive definite)
energy -1.27e-04 / e+9.5 and decreasing
residual norm: 3.0e-03 (27%)
iter 21
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.8 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 4e-17
spectrum: 3.3e-04..4.7e+00 (positive definite)
energy -5.43e-05 / e+10.0 and decreasing
residual norm: 9.5e-04 (34%)
iter 22
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.9 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 8e-18
spectrum: 3.2e-04..9.0e+00 (positive definite)
energy -2.36e-06 / e+10.5 and decreasing
residual norm: 1.6e-04 (44%)
iter 23
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-18
spectrum: 3.1e-04..3.8e+00 (positive definite)
energy -1.95e-07 / e+11.0 and decreasing
residual norm: 2.8e-06 (67%)
iter 24
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 14.1 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 2e-20
spectrum: 2.9e-04..1.0e+01 (positive definite)
energy -1.10e-11 / e+11.5 and decreasing
residual norm: 7.5e-08 (88%)
iter 25
solving 1476 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
peak memory use 10,718k
residual decreased by 13.7 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-21
spectrum: 2.8e-04..3.6e+00 (positive definite)
energy -3.87e-14 / e+12.0 and decreasing
residual norm: 5.5e-13 (100%)
optimal value: 5.2e-01
energy.jpg
finish 2025-04-10 02:53:21, elapsed 18:23