- nelems=20 Number of elements along a single dimension.
- ndims=1 Number of spatial dimensions.
- degree=1 Polynomial degree for discontinuous basis functions.
- timescale=.5 Fraction of timestep and element size: timestep=timescale/nelems.
- newtontol=1e-5 Newton tolerance.
- endtime=0.5 Stopping time.

optimize

integrating 1+1+1 distinct blocks

solve

solving 40x40 system using direct solver

solver returned with residual 1e-17

optimum value 4.05e-06

timestep 1

newton

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

newton 0%

solve

solving 40x40 system using direct solver

solver returned with residual 5e-17

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -98.83% / 1.0 with estimated minimum at 100%

newton 44%

solve

solving 40x40 system using direct solver

solver returned with residual 5e-19

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -99.94% / 0.99959 with estimated minimum at 100%

newton 100%

converged with residual 1.7e-06

timestep 2

newton

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

newton 0%

solve

solving 40x40 system using direct solver

solver returned with residual 4e-17

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -98.68% / 1.0 with estimated minimum at 100%

newton 43%

solve

solving 40x40 system using direct solver

solver returned with residual 5e-19

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -99.88% / 0.99887 with estimated minimum at 100%

newton 100%

converged with residual 3.7e-06

timestep 3

newton

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

newton 0%

solve

solving 40x40 system using direct solver

solver returned with residual 3e-17

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -98.51% / 1.0 with estimated minimum at 100%

newton 42%

solve

solving 40x40 system using direct solver

solver returned with residual 6e-19

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -99.79% / 0.99814 with estimated minimum at 100%

newton 100%

converged with residual 6.9e-06

timestep 4

newton

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

newton 0%

solve

solving 40x40 system using direct solver

solver returned with residual 3e-17

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -98.10% / 1.0 with estimated minimum at 100%

newton 40%

solve

solving 40x40 system using direct solver

solver returned with residual 7e-19

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -99.72% / 0.99716 with estimated minimum at 100%

newton 98%

solve

solving 40x40 system using direct solver

solver returned with residual 2e-21

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -99.99% / 0.9999 with estimated minimum at 100%

newton 100%

converged with residual 1.2e-09

timestep 5

newton

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

newton 0%

solve

solving 40x40 system using direct solver

solver returned with residual 4e-17

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -97.89% / 1.0 with estimated minimum at 100%

newton 39%

solve

solving 40x40 system using direct solver

solver returned with residual 3e-19

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -99.56% / 0.99636 with estimated minimum at 100%

newton 93%

solve

solving 40x40 system using direct solver

solver returned with residual 5e-21

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -100.00% / 1 with estimated minimum at 100%

newton 100%

converged with residual 7.2e-11

timestep 6

newton

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

newton 0%

solve

solving 40x40 system using direct solver

solver returned with residual 3e-17

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -97.40% / 1.0 with estimated minimum at 99%

newton 37%

solve

solving 40x40 system using direct solver

solver returned with residual 9e-19

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -99.40% / 0.99406 with estimated minimum at 101%

newton 88%

solve

solving 40x40 system using direct solver

solver returned with residual 6e-21

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -100.00% / 1 with estimated minimum at 100%

newton 100%

converged with residual 1.6e-10

timestep 7

newton

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

newton 0%

solve

solving 40x40 system using direct solver

solver returned with residual 3e-17

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -95.87% / 1.0 with estimated minimum at 99%

newton 32%

solve

solving 40x40 system using direct solver

solver returned with residual 1e-18

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -99.05% / 0.9908 with estimated minimum at 101%

newton 78%

solve

solving 40x40 system using direct solver

solver returned with residual 2e-20

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -100.00% / 1 with estimated minimum at 100%

newton 100%

converged with residual 1.0e-09

timestep 8

newton

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

newton 0%

solve

solving 40x40 system using direct solver

solver returned with residual 7e-17

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -95.98% / 1.0 with estimated minimum at 99%

newton 32%

solve

solving 40x40 system using direct solver

solver returned with residual 1e-18

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -99.08% / 0.99249 with estimated minimum at 101%

newton 79%

solve

solving 40x40 system using direct solver

solver returned with residual 2e-20

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -100.00% / 1 with estimated minimum at 100%

newton 100%

converged with residual 1.6e-09

timestep 9

newton

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

newton 0%

solve

solving 40x40 system using direct solver

solver returned with residual 4e-17

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -96.43% / 1.0 with estimated minimum at 99%

newton 33%

solve

solving 40x40 system using direct solver

solver returned with residual 1e-18

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -98.72% / 0.98816 with estimated minimum at 101%

newton 77%

solve

solving 40x40 system using direct solver

solver returned with residual 2e-20

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -100.00% / 1 with estimated minimum at 100%

newton 100%

converged with residual 2.4e-09

timestep 10

newton

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

newton 0%

solve

solving 40x40 system using direct solver

solver returned with residual 4e-17

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -92.84% / 1.0 with estimated minimum at 97%

newton 26%

solve

solving 40x40 system using direct solver

solver returned with residual 3e-18

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -97.31% / 0.97389 with estimated minimum at 103%

newton 62%

solve

solving 40x40 system using direct solver

solver returned with residual 8e-20

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -100.00% / 1 with estimated minimum at 100%

newton 100%

converged with residual 1.3e-08

timestep 11

newton

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

newton 0%

solve

solving 40x40 system using direct solver

solver returned with residual 6e-17

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -91.19% / 1.0 with estimated minimum at 98%

newton 24%

solve

solving 40x40 system using direct solver

solver returned with residual 3e-18

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -97.41% / 0.97584 with estimated minimum at 103%

newton 61%

solve

solving 40x40 system using direct solver

solver returned with residual 1e-19

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -99.99% / 1 with estimated minimum at 100%

newton 100%

converged with residual 4.3e-08

timestep 12

newton

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

newton 0%

solve

solving 40x40 system using direct solver

solver returned with residual 4e-17

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -94.18% / 1.0 with estimated minimum at 99%

newton 28%

solve

solving 40x40 system using direct solver

solver returned with residual 6e-18

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -98.66% / 0.99017 with estimated minimum at 101%

newton 71%

solve

solving 40x40 system using direct solver

solver returned with residual 5e-20

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -99.99% / 1 with estimated minimum at 100%

newton 100%

converged with residual 9.9e-09

timestep 13

newton

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

newton 0%

solve

solving 40x40 system using direct solver

solver returned with residual 6e-17

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -94.34% / 1.0 with estimated minimum at 97%

newton 29%

solve

solving 40x40 system using direct solver

solver returned with residual 4e-18

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -97.32% / 0.97415 with estimated minimum at 103%

newton 64%

solve

solving 40x40 system using direct solver

solver returned with residual 3e-20

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -99.99% / 1 with estimated minimum at 100%

newton 100%

converged with residual 2.3e-08

timestep 14

newton

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

newton 0%

solve

solving 40x40 system using direct solver

solver returned with residual 4e-17

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -88.47% / 1.0 with estimated minimum at 95%

newton 21%

solve

solving 40x40 system using direct solver

solver returned with residual 4e-18

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -94.59% / 0.94768 with estimated minimum at 106%

newton 50%

solve

solving 40x40 system using direct solver

solver returned with residual 1e-19

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -99.99% / 1 with estimated minimum at 100%

newton 100%

converged with residual 1.7e-07

timestep 15

newton

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

newton 0%

solve

solving 40x40 system using direct solver

solver returned with residual 6e-17

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -86.73% / 1.0 with estimated minimum at 96%

newton 20%

solve

solving 40x40 system using direct solver

solver returned with residual 4e-18

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -95.29% / 0.95568 with estimated minimum at 105%

newton 50%

solve

solving 40x40 system using direct solver

solver returned with residual 3e-19

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -99.98% / 1 with estimated minimum at 100%

newton 100%

converged with residual 3.0e-07

timestep 16

newton

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

newton 0%

solve

solving 40x40 system using direct solver

solver returned with residual 4e-17

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -91.58% / 1.0 with estimated minimum at 99%

newton 25%

solve

solving 40x40 system using direct solver

solver returned with residual 6e-18

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -98.44% / 0.9885 with estimated minimum at 101%

newton 66%

solve

solving 40x40 system using direct solver

solver returned with residual 1e-19

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -99.99% / 1 with estimated minimum at 100%

newton 100%

converged with residual 2.7e-08

timestep 17

newton

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

newton 0%

solve

solving 40x40 system using direct solver

solver returned with residual 3e-17

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -94.72% / 1.0 with estimated minimum at 98%

newton 29%

solve

solving 40x40 system using direct solver

solver returned with residual 1e-18

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -97.44% / 0.97622 with estimated minimum at 103%

newton 65%

solve

solving 40x40 system using direct solver

solver returned with residual 2e-21

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -99.99% / 1 with estimated minimum at 100%

newton 100%

converged with residual 3.9e-08

timestep 18

newton

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

newton 0%

solve

solving 40x40 system using direct solver

solver returned with residual 4e-17

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -88.29% / 1.0 with estimated minimum at 94%

newton 21%

solve

solving 40x40 system using direct solver

solver returned with residual 4e-19

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -93.93% / 0.94108 with estimated minimum at 106%

newton 49%

solve

solving 40x40 system using direct solver

solver returned with residual 1e-19

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -99.99% / 1 with estimated minimum at 100%

newton 100%

converged with residual 2.1e-07

timestep 19

newton

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

newton 0%

solve

solving 40x40 system using direct solver

solver returned with residual 4e-17

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -84.31% / 1.0 with estimated minimum at 94%

newton 18%

solve

solving 40x40 system using direct solver

solver returned with residual 4e-18

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -93.33% / 0.9362 with estimated minimum at 107%

newton 45%

solve

solving 40x40 system using direct solver

solver returned with residual 1e-19

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -99.97% / 1 with estimated minimum at 100%

newton 100%

converged with residual 6.6e-07

timestep 20

newton

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

newton 0%

solve

solving 40x40 system using direct solver

solver returned with residual 4e-17

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -87.88% / 1.0 with estimated minimum at 98%

newton 21%

solve

solving 40x40 system using direct solver

solver returned with residual 4e-18

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -97.24% / 0.97585 with estimated minimum at 103%

newton 57%

solve

solving 40x40 system using direct solver

solver returned with residual 2e-19

integrating 1+1 distinct blocks

integrating 2+4 distinct blocks

residual norm -99.98% / 1 with estimated minimum at 100%

newton 100%

converged with residual 1.3e-07

timestep 21