NUTILS 8.1 "Idiyappam"

arguments

etype=square

btype=h-std

degree=2

nrefine=5

start 2023-08-14 12:04:41

level 1/6

optimize

constrained 5/21 dofs

optimum value 0.00e+00

optimize

solve

solving 11 dof system to machine precision using arnoldi solver

constructing symmetric direct preconditioner

peak memory use 145k

residual decreased by 15.9 orders using 0 krylov vectors

solver returned with residual 1e-16

constrained 16/21 dofs

optimum value 3.84e-07

solve

solving 5 dof system to machine precision using arnoldi solver

constructing direct preconditioner

peak memory use 143k

residual decreased by 15.8 orders using 0 krylov vectors

solver returned with residual 8e-17

errors at 21 dofs: L2 5.22e-03, H1 8.79e-02

sol.png

err.png

level 2/6

optimize

constrained 9/65 dofs

optimum value 0.00e+00

optimize

solve

solving 23 dof system to machine precision using arnoldi solver

constructing symmetric direct preconditioner

peak memory use 149k

residual decreased by 15.6 orders using 0 krylov vectors

residual decreased by 0.1 orders using 1 krylov vectors

solver returned with residual 1e-16

constrained 32/65 dofs

optimum value 1.10e-08

solve

solving 33 dof system to machine precision using arnoldi solver

constructing direct preconditioner

peak memory use 165k

residual decreased by 15.4 orders using 0 krylov vectors

residual decreased by 0.3 orders using 1 krylov vectors

residual decreased by 0.2 orders using 2 krylov vectors

residual decreased by 0.1 orders using 3 krylov vectors

residual decreased by 0.0 orders using 4 krylov vectors

solver returned with residual 1e-16

errors at 65 dofs: L2 1.76e-03, H1 5.48e-02

error convergence rates: L2 -0.96 (optimal -1.5), H1 -0.42 (optimal -1.0)

sol.png

err.png

level 3/6

optimize

constrained 13/149 dofs

optimum value 0.00e+00

optimize

solve

solving 31 dof system to machine precision using arnoldi solver

constructing symmetric direct preconditioner

peak memory use 152k

residual decreased by 15.8 orders using 0 krylov vectors

residual decreased by 0.4 orders using 1 krylov vectors

solver returned with residual 4e-17

constrained 44/149 dofs

optimum value 6.49e-09

solve

solving 105 dof system to machine precision using arnoldi solver

constructing direct preconditioner

peak memory use 248k

residual decreased by 15.1 orders using 0 krylov vectors

residual decreased by 0.4 orders using 1 krylov vectors

solver returned with residual 4e-16

errors at 149 dofs: L2 6.54e-04, H1 3.46e-02

error convergence rates: L2 -1.08 (optimal -1.5), H1 -0.49 (optimal -1.0)

sol.png

err.png

level 4/6

optimize

constrained 17/225 dofs

optimum value 0.00e+00

optimize

solve

solving 31 dof system to machine precision using arnoldi solver

constructing symmetric direct preconditioner

peak memory use 152k

residual decreased by 15.8 orders using 0 krylov vectors

residual decreased by 0.4 orders using 1 krylov vectors

solver returned with residual 4e-17

constrained 48/225 dofs

optimum value 6.49e-09

solve

solving 177 dof system to machine precision using arnoldi solver

constructing direct preconditioner

peak memory use 363k

residual decreased by 14.9 orders using 0 krylov vectors

residual decreased by 0.5 orders using 1 krylov vectors

solver returned with residual 5e-16

errors at 225 dofs: L2 2.67e-04, H1 2.20e-02

error convergence rates: L2 -1.33 (optimal -1.5), H1 -0.63 (optimal -1.0)

sol.png

err.png

level 5/6

optimize

constrained 21/301 dofs

optimum value 0.00e+00

optimize

solve

solving 31 dof system to machine precision using arnoldi solver

constructing symmetric direct preconditioner

peak memory use 152k

residual decreased by 15.8 orders using 0 krylov vectors

residual decreased by 0.4 orders using 1 krylov vectors

solver returned with residual 4e-17

constrained 52/301 dofs

optimum value 6.49e-09

solve

solving 249 dof system to machine precision using arnoldi solver

constructing direct preconditioner

peak memory use 492k

residual decreased by 14.9 orders using 0 krylov vectors

residual decreased by 0.6 orders using 1 krylov vectors

residual decreased by 0.1 orders using 2 krylov vectors

solver returned with residual 3e-16

errors at 301 dofs: L2 1.42e-04, H1 1.42e-02

error convergence rates: L2 -1.52 (optimal -1.5), H1 -0.80 (optimal -1.0)

sol.png

err.png

level 6/6

optimize

constrained 37/453 dofs

optimum value 0.00e+00

optimize

solve

solving 35 dof system to machine precision using arnoldi solver

constructing symmetric direct preconditioner

peak memory use 154k

residual decreased by 15.8 orders using 0 krylov vectors

residual decreased by 0.2 orders using 1 krylov vectors

solver returned with residual 5e-17

constrained 72/453 dofs

optimum value 2.41e-09

solve

solving 381 dof system to machine precision using arnoldi solver

constructing direct preconditioner

peak memory use 672k

residual decreased by 14.8 orders using 0 krylov vectors

residual decreased by 0.6 orders using 1 krylov vectors

residual decreased by 0.1 orders using 2 krylov vectors

solver returned with residual 4e-16

errors at 453 dofs: L2 7.16e-05, H1 8.98e-03

error convergence rates: L2 -1.62 (optimal -1.5), H1 -0.93 (optimal -1.0)

sol.png

err.png

finish 2023-08-14 12:04:57, elapsed 0:16