examples/adaptivity.py

etype=triangle Type of elements (square/triangle/mixed).
btype=h-std Type of basis function (h/th-std/spline), with availability depending on the configured element type.
degree=2 Polynomial degree
nrefine=4 Number of refinement steps to perform.

integrating 1+1 distinct blocks

level 1/5

optimize

topology 1/1

integrating 1+1+1 distinct blocks

constrained 5/21 dofs

optimum value 0.00e+00

optimize

topology 1/1

integrating 1+1+1 distinct blocks

solve

solving 11 dof system to machine precision using direct solver

refinement iteration 1

residual increased to 7e-17 (discarding)

solver returned with residual 7e-17

constrained 16/21 dofs

optimum value 3.84e-07

topology 1/1

integrating 1+1 distinct blocks

solve

solving 5 dof system to machine precision using direct solver

solver returned with residual 1e-16

UserWarning: inexact integration for polynomial of degree 7 In /home/docs/checkouts/readthedocs.org/user_builds/nutils/checkouts/v6.2/nutils/points.py:415

topology 1/1

integrating 1 distinct blocks

ndofs: 21, L2 error: 7.78e-03 (nan), H1 error: 1.27e-01 (nan)

sol.png

err.png

level 2/5

topology 1/1

integrating 1 distinct blocks

topology 1/1

integrating 1 distinct blocks

optimize

topology 1/1

integrating 1+1+1 distinct blocks

constrained 9/38 dofs

optimum value 0.00e+00

optimize

topology 1/1

integrating 1+1+1 distinct blocks

solve

solving 11 dof system to machine precision using direct solver

refinement iteration 1

residual increased to 7e-17 (discarding)

solver returned with residual 7e-17

constrained 20/38 dofs

optimum value 3.84e-07

topology 1/1

integrating 1+1 distinct blocks

solve

solving 18 dof system to machine precision using direct solver

refinement iteration 1

residual decreased to 1e-16

refinement iteration 2

residual decreased to 8e-17

refinement iteration 3

residual increased to 1e-16 (discarding)

solver returned with residual 1e-16

topology 1/1

integrating 1 distinct blocks

ndofs: 38, L2 error: 3.74e-03 (-1.23), H1 error: 8.39e-02 (-0.70)

sol.png

err.png

level 3/5

topology 1/1

integrating 1 distinct blocks

topology 1/1

integrating 1 distinct blocks

optimize

topology 1/1

integrating 1+1+1 distinct blocks

constrained 13/98 dofs

optimum value 0.00e+00

optimize

topology 1/1

integrating 1+1+1 distinct blocks

solve

solving 23 dof system to machine precision using direct solver

refinement iteration 1

residual decreased to 5e-17

refinement iteration 2

residual increased to 5e-17 (discarding)

solver returned with residual 5e-17

constrained 36/98 dofs

optimum value 1.10e-08

topology 1/1

integrating 1+1 distinct blocks

solve

solving 62 dof system to machine precision using direct solver

refinement iteration 1

residual decreased to 4e-16

refinement iteration 2

residual decreased to 3e-16

refinement iteration 3

residual increased to 4e-16 (discarding)

solver returned with residual 4e-16

topology 1/1

integrating 1 distinct blocks

ndofs: 98, L2 error: 1.38e-03 (-1.11), H1 error: 5.32e-02 (-0.55)

sol.png

err.png

level 4/5

topology 1/1

integrating 1 distinct blocks

topology 1/1

integrating 1 distinct blocks

optimize

topology 1/1

integrating 1+1+1 distinct blocks

constrained 25/205 dofs

optimum value 0.00e+00

optimize

topology 1/1

integrating 1+1+1 distinct blocks

solve

solving 23 dof system to machine precision using direct solver

refinement iteration 1

residual decreased to 5e-17

refinement iteration 2

residual increased to 5e-17 (discarding)

solver returned with residual 5e-17

constrained 48/205 dofs

optimum value 1.10e-08

topology 1/1

integrating 1+1 distinct blocks

solve

solving 157 dof system to machine precision using direct solver

refinement iteration 1

residual decreased to 7e-16

refinement iteration 2

residual decreased to 6e-16

refinement iteration 3

residual increased to 8e-16 (discarding)

solver returned with residual 7e-16

topology 1/1

integrating 1 distinct blocks

ndofs: 205, L2 error: 4.76e-04 (-1.23), H1 error: 3.25e-02 (-0.59)

sol.png

err.png

level 5/5

topology 1/1

integrating 1 distinct blocks

topology 1/1

integrating 1 distinct blocks

optimize

topology 1/1

integrating 1+1+1 distinct blocks

constrained 29/281 dofs

optimum value 0.00e+00

optimize

topology 1/1

integrating 1+1+1 distinct blocks

solve

solving 31 dof system to machine precision using direct solver

refinement iteration 1

residual increased to 5e-17 (discarding)

solver returned with residual 3e-17

constrained 60/281 dofs

optimum value 6.49e-09

topology 1/1

integrating 1+1 distinct blocks

solve

solving 221 dof system to machine precision using direct solver

refinement iteration 1

residual decreased to 8e-16

refinement iteration 2

residual decreased to 7e-16

refinement iteration 3

residual increased to 8e-16 (discarding)

solver returned with residual 1e-15

topology 1/1

integrating 1 distinct blocks

ndofs: 281, L2 error: 2.29e-04 (-1.39), H1 error: 2.11e-02 (-0.70)

sol.png

err.png