NUTILS 8.1 "Idiyappam"

arguments

nelems=20

etype=square

btype=std

degree=1

poisson=0.25

angle=20

restol=1e-08

trim=True

start 2023-08-15 01:56:16

optimize

solve

solving 84 dof system to machine precision using arnoldi solver

constructing symmetric direct preconditioner

matrix is diagonally dominant, solving as SPD

peak memory use 166k

residual decreased by 16.0 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

residual decreased by 0.0 orders using 3 krylov vectors

solver returned with residual 2e-17

constrained 84/840 dofs

optimum value -5.55e-17

optimize

solve

solving 756 dof system to machine precision using arnoldi solver

constructing symmetric direct preconditioner

peak memory use 778k

residual decreased by 14.9 orders using 0 krylov vectors

residual decreased by 0.2 orders using 1 krylov vectors

solver returned with residual 3e-15

optimum value 1.21e-01

linear.png

minimize

iter 1 (0%)

solve

solving 756 dof system to machine precision using arnoldi solver

constructing symmetric direct preconditioner

peak memory use 780k

residual decreased by 14.6 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-16

spectrum: 2.1e-01..6.3e+00 (positive definite)

energy -1.43e-02 / e+0.0 and decreasing

iter 2 (2%)

solve

solving 756 dof system to machine precision using arnoldi solver

constructing symmetric direct preconditioner

peak memory use 780k

residual decreased by 14.4 orders using 0 krylov vectors

residual decreased by 0.3 orders using 1 krylov vectors

solver returned with residual 6e-16

spectrum: 1.9e-01..3.9e+00 (positive definite)

energy -1.48e-02 / e+0.5 and decreasing

iter 3 (2%)

solve

solving 756 dof system to machine precision using arnoldi solver

constructing symmetric direct preconditioner

peak memory use 780k

residual decreased by 14.5 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 5e-16

spectrum: 1.8e-01..1.8e+01 (positive definite)

energy -4.04e-03 / e+1.0 and decreasing

iter 4 (4%)

solve

solving 756 dof system to machine precision using arnoldi solver

constructing symmetric direct preconditioner

peak memory use 780k

residual decreased by 14.3 orders using 0 krylov vectors

residual decreased by 0.3 orders using 1 krylov vectors

residual decreased by 0.0 orders using 2 krylov vectors

solver returned with residual 5e-16

spectrum: 1.8e-01..1.3e+01 (positive definite)

energy -5.23e-03 / e+1.5 and decreasing

iter 5 (4%)

solve

solving 756 dof system to machine precision using arnoldi solver

constructing symmetric direct preconditioner

peak memory use 780k

residual decreased by 14.4 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 5e-16

spectrum: 1.7e-01..2.1e+01 (positive definite)

energy -4.35e-03 / e+2.0 and decreasing

iter 6 (5%)

solve

solving 756 dof system to machine precision using arnoldi solver

constructing symmetric direct preconditioner

peak memory use 780k

residual decreased by 14.3 orders using 0 krylov vectors

residual decreased by 0.3 orders using 1 krylov vectors

residual decreased by 0.0 orders using 2 krylov vectors

solver returned with residual 5e-16

spectrum: 1.7e-01..1.4e+01 (positive definite)

energy -7.49e-03 / e+2.5 and decreasing

iter 7 (5%)

solve

solving 756 dof system to machine precision using arnoldi solver

constructing symmetric direct preconditioner

peak memory use 780k

residual decreased by 14.4 orders using 0 krylov vectors

residual decreased by 0.2 orders using 1 krylov vectors

solver returned with residual 4e-16

spectrum: 1.6e-01..2.2e+01 (positive definite)

energy -5.75e-03 / e+3.0 and decreasing

iter 8 (7%)

solve

solving 756 dof system to machine precision using arnoldi solver

constructing symmetric direct preconditioner

peak memory use 780k

residual decreased by 14.2 orders using 0 krylov vectors

residual decreased by 0.3 orders using 1 krylov vectors

residual decreased by 0.0 orders using 2 krylov vectors

solver returned with residual 4e-16

spectrum: 1.5e-01..1.5e+01 (positive definite)

energy -8.25e-03 / e+3.5 and decreasing

iter 9 (8%)

solve

solving 756 dof system to machine precision using arnoldi solver

constructing symmetric direct preconditioner

peak memory use 780k

residual decreased by 14.3 orders using 0 krylov vectors

residual decreased by 0.3 orders using 1 krylov vectors

solver returned with residual 3e-16

spectrum: 1.4e-01..2.2e+01 (positive definite)

energy -4.45e-03 / e+4.0 and decreasing

iter 10 (11%)

solve

solving 756 dof system to machine precision using arnoldi solver

constructing symmetric direct preconditioner

peak memory use 780k

residual decreased by 14.2 orders using 0 krylov vectors

residual decreased by 0.3 orders using 1 krylov vectors

solver returned with residual 2e-16

spectrum: 1.4e-01..1.5e+01 (positive definite)

energy -3.62e-03 / e+4.5 and decreasing

iter 11 (15%)

solve

solving 756 dof system to machine precision using arnoldi solver

constructing symmetric direct preconditioner

peak memory use 780k

residual decreased by 14.3 orders using 0 krylov vectors

residual decreased by 0.2 orders using 1 krylov vectors

solver returned with residual 9e-17

spectrum: 1.3e-01..2.2e+01 (positive definite)

energy -8.10e-04 / e+5.0 and decreasing

iter 12 (21%)

solve

solving 756 dof system to machine precision using arnoldi solver

constructing symmetric direct preconditioner

peak memory use 780k

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-17

spectrum: 1.2e-01..1.5e+01 (positive definite)

energy -1.83e-04 / e+5.5 and decreasing

iter 13 (31%)

solve

solving 756 dof system to machine precision using arnoldi solver

constructing symmetric direct preconditioner

peak memory use 780k

residual decreased by 14.2 orders using 0 krylov vectors

residual decreased by 0.3 orders using 1 krylov vectors

solver returned with residual 6e-18

spectrum: 8.4e-02..1.9e+01 (positive definite)

energy -4.69e-06 / e+6.0 and decreasing

iter 14 (41%)

solve

solving 756 dof system to machine precision using arnoldi solver

constructing symmetric direct preconditioner

peak memory use 780k

residual decreased by 14.2 orders using 0 krylov vectors

residual decreased by 0.3 orders using 1 krylov vectors

solver returned with residual 1e-18

spectrum: 3.3e-02..1.6e+01 (positive definite)

energy -1.39e-07 / e+6.5 and decreasing

iter 15 (48%)

solve

solving 756 dof system to machine precision using arnoldi solver

constructing symmetric direct preconditioner

peak memory use 780k

residual decreased by 14.3 orders using 0 krylov vectors

residual decreased by 0.3 orders using 1 krylov vectors

solver returned with residual 2e-19

spectrum: 2.1e-02..2.1e+01 (positive definite)

energy -9.20e-09 / e+7.0 and decreasing

iter 16 (55%)

solve

solving 756 dof system to machine precision using arnoldi solver

constructing symmetric direct preconditioner

peak memory use 780k

residual decreased by 14.2 orders using 0 krylov vectors

residual decreased by 0.3 orders using 1 krylov vectors

solver returned with residual 8e-20

spectrum: 1.8e-02..1.6e+01 (positive definite)

energy -1.17e-09 / e+7.5 and decreasing

iter 17 (66%)

solve

solving 756 dof system to machine precision using arnoldi solver

constructing symmetric direct preconditioner

peak memory use 780k

residual decreased by 14.3 orders using 0 krylov vectors

residual decreased by 0.3 orders using 1 krylov vectors

solver returned with residual 1e-20

spectrum: 1.6e-02..2.1e+01 (positive definite)

energy -2.12e-11 / e+8.0 and decreasing

iter 18 (80%)

solve

solving 756 dof system to machine precision using arnoldi solver

constructing symmetric direct preconditioner

peak memory use 780k

residual decreased by 14.2 orders using 0 krylov vectors

residual decreased by 0.3 orders using 1 krylov vectors

solver returned with residual 1e-21

spectrum: 1.5e-02..1.7e+01 (positive definite)

energy -2.31e-13 / e+8.5 and decreasing

converged in 18 iterations to residual 3.7e-09

nonlinear.png

finish 2023-08-15 01:56:31, elapsed 0:15