NUTILS 9.0 "Jook-Sing"
arguments
nelems=40
btype=discont
degree=1
timescale=0.5
newtontol=1e-05
endtime=0.5
start 2025-04-09 21:29:27
solve
optimizing for argument u (80) using direct method
solving 80 dof system to machine precision using arnoldi solver
constructing symmetric direct preconditioner
matrix is diagonally dominant, solving as SPD
peak memory use 160k
residual decreased by 16.1 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
residual decreased by 0.4 orders using 3 krylov vectors
residual decreased by 0.0 orders using 4 krylov vectors
solution is exact
solver returned with residual 0e+00
residual norm: 0.0e+00
optimal value: 2.5e-07
timestep 1
time: 0.0
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 1.7e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.6 orders using 0 krylov vectors
solver returned with residual 4e-17
residual norm: 5.1e-04 (60%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.6 orders using 0 krylov vectors
solver returned with residual 1e-19
residual norm: 1.2e-08 (100%)
timestep 2
time: 0.0125
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 1.6e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.7 orders using 0 krylov vectors
solver returned with residual 3e-17
residual norm: 5.2e-04 (59%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.6 orders using 0 krylov vectors
solver returned with residual 1e-19
residual norm: 1.3e-08 (100%)
timestep 3
time: 0.025
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 1.6e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.7 orders using 0 krylov vectors
solver returned with residual 3e-17
residual norm: 5.5e-04 (59%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.7 orders using 0 krylov vectors
solver returned with residual 1e-19
residual norm: 1.7e-08 (100%)
timestep 4
time: 0.0375
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 1.6e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.7 orders using 0 krylov vectors
solver returned with residual 3e-17
residual norm: 5.9e-04 (58%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.6 orders using 0 krylov vectors
solver returned with residual 1e-19
residual norm: 2.2e-08 (100%)
timestep 5
time: 0.05
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 1.6e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.7 orders using 0 krylov vectors
solver returned with residual 3e-17
residual norm: 6.4e-04 (57%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.5 orders using 0 krylov vectors
solver returned with residual 2e-19
residual norm: 3.0e-08 (100%)
timestep 6
time: 0.0625
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 1.6e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.7 orders using 0 krylov vectors
solver returned with residual 3e-17
residual norm: 7.2e-04 (56%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.6 orders using 0 krylov vectors
solver returned with residual 2e-19
residual norm: 4.1e-08 (100%)
timestep 7
time: 0.075
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 1.6e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.7 orders using 0 krylov vectors
solver returned with residual 3e-17
residual norm: 8.1e-04 (55%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.7 orders using 0 krylov vectors
solver returned with residual 2e-19
residual norm: 6.5e-08 (100%)
timestep 8
time: 0.0875
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 1.6e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.6 orders using 0 krylov vectors
solver returned with residual 4e-17
residual norm: 9.3e-04 (53%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.8 orders using 0 krylov vectors
solver returned with residual 1e-19
residual norm: 1.0e-07 (100%)
timestep 9
time: 0.1
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 1.7e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.7 orders using 0 krylov vectors
solver returned with residual 3e-17
residual norm: 1.1e-03 (52%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.8 orders using 0 krylov vectors
solver returned with residual 2e-19
residual norm: 1.1e-07 (100%)
timestep 10
time: 0.1125
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 1.7e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.7 orders using 0 krylov vectors
solver returned with residual 3e-17
residual norm: 1.3e-03 (50%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.8 orders using 0 krylov vectors
solver returned with residual 2e-19
residual norm: 2.7e-07 (100%)
timestep 11
time: 0.125
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 1.7e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.7 orders using 0 krylov vectors
solver returned with residual 3e-17
residual norm: 1.5e-03 (48%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.7 orders using 0 krylov vectors
solver returned with residual 3e-19
residual norm: 4.2e-07 (100%)
timestep 12
time: 0.1375
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 1.7e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.7 orders using 0 krylov vectors
solver returned with residual 3e-17
residual norm: 1.8e-03 (47%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.7 orders using 0 krylov vectors
solver returned with residual 4e-19
residual norm: 4.7e-07 (100%)
timestep 13
time: 0.15
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 1.7e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.8 orders using 0 krylov vectors
solver returned with residual 3e-17
residual norm: 2.4e-03 (44%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.5 orders using 0 krylov vectors
solver returned with residual 8e-19
residual norm: 8.8e-07 (100%)
timestep 14
time: 0.1625
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 1.8e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.7 orders using 0 krylov vectors
solver returned with residual 3e-17
residual norm: 3.0e-03 (42%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.6 orders using 0 krylov vectors
solver returned with residual 7e-19
residual norm: 2.0e-06 (100%)
timestep 15
time: 0.175
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 1.8e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.7 orders using 0 krylov vectors
solver returned with residual 4e-17
residual norm: 3.2e-03 (41%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 16.0 orders using 0 krylov vectors
solver returned with residual 3e-19
residual norm: 2.8e-06 (100%)
timestep 16
time: 0.1875
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 1.8e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.8 orders using 0 krylov vectors
solver returned with residual 3e-17
residual norm: 4.3e-03 (38%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.8 orders using 0 krylov vectors
solver returned with residual 7e-19
residual norm: 1.9e-06 (100%)
timestep 17
time: 0.2
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 1.9e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.4 orders using 0 krylov vectors
solver returned with residual 7e-17
residual norm: 6.5e-03 (34%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.8 orders using 0 krylov vectors
solver returned with residual 9e-19
residual norm: 6.3e-06 (100%)
timestep 18
time: 0.2125
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 1.9e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.4 orders using 0 krylov vectors
solver returned with residual 8e-17
residual norm: 6.6e-03 (34%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.8 orders using 0 krylov vectors
solver returned with residual 1e-18
residual norm: 1.4e-05 (97%)
iter 3
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.8 orders using 0 krylov vectors
solver returned with residual 2e-21
residual norm: 1.4e-11 (100%)
timestep 19
time: 0.225
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 2.0e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.9 orders using 0 krylov vectors
solver returned with residual 3e-17
residual norm: 6.0e-03 (35%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.9 orders using 0 krylov vectors
solver returned with residual 8e-19
residual norm: 1.1e-05 (99%)
iter 3
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.7 orders using 0 krylov vectors
solver returned with residual 2e-21
residual norm: 1.4e-11 (100%)
timestep 20
time: 0.2375
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 2.0e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.7 orders using 0 krylov vectors
solver returned with residual 5e-17
residual norm: 1.1e-02 (29%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.7 orders using 0 krylov vectors
solver returned with residual 2e-18
residual norm: 7.1e-06 (100%)
timestep 21
time: 0.25
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 2.1e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.9 orders using 0 krylov vectors
solver returned with residual 3e-17
residual norm: 1.5e-02 (26%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.6 orders using 0 krylov vectors
solver returned with residual 4e-18
residual norm: 3.7e-05 (87%)
iter 3
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.8 orders using 0 krylov vectors
solver returned with residual 6e-21
residual norm: 1.1e-10 (100%)
timestep 22
time: 0.2625
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 2.2e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 16.1 orders using 0 krylov vectors
solver returned with residual 2e-17
residual norm: 1.2e-02 (29%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.7 orders using 0 krylov vectors
solver returned with residual 2e-18
residual norm: 5.3e-05 (83%)
iter 3
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 16.0 orders using 0 krylov vectors
solver returned with residual 5e-21
residual norm: 2.3e-10 (100%)
timestep 23
time: 0.275
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 2.2e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.7 orders using 0 krylov vectors
solver returned with residual 4e-17
residual norm: 1.1e-02 (30%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.8 orders using 0 krylov vectors
solver returned with residual 2e-18
residual norm: 2.6e-05 (90%)
iter 3
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 16.1 orders using 0 krylov vectors
solver returned with residual 2e-21
residual norm: 9.3e-11 (100%)
timestep 24
time: 0.2875
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 2.3e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.7 orders using 0 krylov vectors
solver returned with residual 4e-17
residual norm: 2.2e-02 (23%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 16.4 orders using 0 krylov vectors
solver returned with residual 9e-19
residual norm: 3.6e-05 (87%)
iter 3
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 16.0 orders using 0 krylov vectors
solver returned with residual 3e-21
residual norm: 6.5e-11 (100%)
timestep 25
time: 0.3
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 2.3e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.8 orders using 0 krylov vectors
solver returned with residual 4e-17
residual norm: 2.7e-02 (22%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 16.0 orders using 0 krylov vectors
solver returned with residual 3e-18
residual norm: 1.1e-04 (76%)
iter 3
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.9 orders using 0 krylov vectors
solver returned with residual 2e-20
residual norm: 9.9e-10 (100%)
timestep 26
time: 0.3125
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 2.4e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.8 orders using 0 krylov vectors
solver returned with residual 4e-17
residual norm: 1.7e-02 (26%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.9 orders using 0 krylov vectors
solver returned with residual 2e-18
residual norm: 1.2e-04 (75%)
iter 3
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.6 orders using 0 krylov vectors
solver returned with residual 3e-20
residual norm: 1.3e-09 (100%)
timestep 27
time: 0.325
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 2.5e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.7 orders using 0 krylov vectors
solver returned with residual 4e-17
residual norm: 1.5e-02 (27%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.4 orders using 0 krylov vectors
solver returned with residual 6e-18
residual norm: 5.2e-05 (84%)
iter 3
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.7 orders using 0 krylov vectors
solver returned with residual 1e-20
residual norm: 3.2e-10 (100%)
timestep 28
time: 0.3375
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 2.5e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.9 orders using 0 krylov vectors
solver returned with residual 3e-17
residual norm: 3.2e-02 (20%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 16.2 orders using 0 krylov vectors
solver returned with residual 2e-18
residual norm: 7.5e-05 (80%)
iter 3
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 16.0 orders using 0 krylov vectors
solver returned with residual 7e-21
residual norm: 2.9e-10 (100%)
timestep 29
time: 0.35
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 2.5e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.5 orders using 0 krylov vectors
solver returned with residual 7e-17
residual norm: 3.7e-02 (19%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.9 orders using 0 krylov vectors
solver returned with residual 5e-18
residual norm: 2.0e-04 (71%)
iter 3
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 16.0 orders using 0 krylov vectors
solver returned with residual 2e-20
residual norm: 3.0e-09 (100%)
timestep 30
time: 0.3625
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 2.6e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 16.3 orders using 0 krylov vectors
solver returned with residual 1e-17
residual norm: 2.4e-02 (23%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.4 orders using 0 krylov vectors
solver returned with residual 9e-18
residual norm: 1.9e-04 (71%)
iter 3
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.8 orders using 0 krylov vectors
solver returned with residual 3e-20
residual norm: 3.6e-09 (100%)
timestep 31
time: 0.375
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 2.6e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 16.1 orders using 0 krylov vectors
solver returned with residual 2e-17
residual norm: 1.6e-02 (27%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.8 orders using 0 krylov vectors
solver returned with residual 2e-18
residual norm: 8.4e-05 (79%)
iter 3
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 16.4 orders using 0 krylov vectors
solver returned with residual 3e-21
residual norm: 6.6e-10 (100%)
timestep 32
time: 0.3875
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 2.6e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 16.1 orders using 0 krylov vectors
solver returned with residual 2e-17
residual norm: 3.5e-02 (20%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 16.9 orders using 0 krylov vectors
solver returned with residual 4e-19
residual norm: 9.1e-05 (78%)
iter 3
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 16.0 orders using 0 krylov vectors
solver returned with residual 1e-20
residual norm: 4.4e-10 (100%)
timestep 33
time: 0.4
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 2.5e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.3 orders using 0 krylov vectors
solver returned with residual 1e-16
residual norm: 4.3e-02 (17%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 16.3 orders using 0 krylov vectors
solver returned with residual 2e-18
residual norm: 2.4e-04 (69%)
iter 3
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.8 orders using 0 krylov vectors
solver returned with residual 4e-20
residual norm: 4.4e-09 (100%)
timestep 34
time: 0.4125
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 2.6e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.5 orders using 0 krylov vectors
solver returned with residual 9e-17
residual norm: 3.0e-02 (21%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.8 orders using 0 krylov vectors
solver returned with residual 4e-18
residual norm: 2.5e-04 (69%)
iter 3
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 16.2 orders using 0 krylov vectors
solver returned with residual 2e-20
residual norm: 6.0e-09 (100%)
timestep 35
time: 0.425
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 2.6e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.8 orders using 0 krylov vectors
solver returned with residual 4e-17
residual norm: 1.5e-02 (28%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.4 orders using 0 krylov vectors
solver returned with residual 5e-18
residual norm: 1.2e-04 (76%)
iter 3
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.8 orders using 0 krylov vectors
solver returned with residual 2e-20
residual norm: 1.3e-09 (100%)
timestep 36
time: 0.4375
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 2.6e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.9 orders using 0 krylov vectors
solver returned with residual 4e-17
residual norm: 3.3e-02 (20%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 16.3 orders using 0 krylov vectors
solver returned with residual 2e-18
residual norm: 7.9e-05 (80%)
iter 3
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.8 orders using 0 krylov vectors
solver returned with residual 1e-20
residual norm: 6.3e-10 (100%)
timestep 37
time: 0.45
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 2.5e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.5 orders using 0 krylov vectors
solver returned with residual 9e-17
residual norm: 4.5e-02 (17%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.5 orders using 0 krylov vectors
solver returned with residual 1e-17
residual norm: 2.2e-04 (70%)
iter 3
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.6 orders using 0 krylov vectors
solver returned with residual 6e-20
residual norm: 4.0e-09 (100%)
timestep 38
time: 0.4625
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 2.6e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.8 orders using 0 krylov vectors
solver returned with residual 4e-17
residual norm: 3.6e-02 (19%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 16.2 orders using 0 krylov vectors
solver returned with residual 2e-18
residual norm: 2.7e-04 (67%)
iter 3
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.7 orders using 0 krylov vectors
solver returned with residual 6e-20
residual norm: 6.8e-09 (100%)
timestep 39
time: 0.475
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 2.6e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 16.0 orders using 0 krylov vectors
solver returned with residual 2e-17
residual norm: 1.6e-02 (28%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.5 orders using 0 krylov vectors
solver returned with residual 5e-18
residual norm: 1.5e-04 (73%)
iter 3
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.9 orders using 0 krylov vectors
solver returned with residual 2e-20
residual norm: 2.3e-09 (100%)
timestep 40
time: 0.4875
solution.png
solve
solving for argument u (80) using newton method
iter 0
residual norm: 2.6e-01
iter 1
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 16.2 orders using 0 krylov vectors
solver returned with residual 2e-17
residual norm: 2.6e-02 (23%)
iter 2
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.8 orders using 0 krylov vectors
solver returned with residual 4e-18
residual norm: 6.4e-05 (82%)
iter 3
solving 80 dof system to tolerance 1e-05 using arnoldi solver
constructing direct preconditioner
peak memory use 185k
residual decreased by 15.9 orders using 0 krylov vectors
solver returned with residual 8e-21
residual norm: 7.2e-10 (100%)
timestep 41
time: 0.5
solution.png
finish 2025-04-09 21:29:37, elapsed 0:10