level 1/5
optimize
constrained 5/21 dofs
optimum value 0.00e+00
optimize
solve
solving 11 dof system to machine precision using arnoldi solver
residual decreased by 15.7 orders using 0 krylov vectors
residual decreased by 0.0 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
residual decreased by 0.0 orders using 3 krylov vectors
residual decreased by 0.0 orders using 4 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
residual decreased by 15.8 orders using 0 krylov vectors
solver returned with residual 8e-17
UserWarning: inexact integration for polynomial of degree 7 In /home/docs/checkouts/readthedocs.org/user_builds/nutils/checkouts/v7.1/nutils/points.py:426
ndofs: 21, L2 error: 7.78e-03 (nan), H1 error: 1.27e-01 (nan)
sol.png
err.png
level 2/5
optimize
constrained 9/38 dofs
optimum value 0.00e+00
optimize
solve
solving 11 dof system to machine precision using arnoldi solver
residual decreased by 15.7 orders using 0 krylov vectors
residual decreased by 0.0 orders using 1 krylov vectors
residual decreased by 0.0 orders using 2 krylov vectors
residual decreased by 0.0 orders using 3 krylov vectors
residual decreased by 0.0 orders using 4 krylov vectors
solver returned with residual 1e-16
constrained 20/38 dofs
optimum value 3.84e-07
solve
solving 18 dof system to machine precision using arnoldi solver
residual decreased by 15.5 orders using 0 krylov vectors
residual decreased by 0.1 orders using 1 krylov vectors
solver returned with residual 1e-16
ndofs: 38, L2 error: 3.74e-03 (-1.23), H1 error: 8.39e-02 (-0.70)
sol.png
err.png
level 3/5
optimize
constrained 13/98 dofs
optimum value 0.00e+00
optimize
solve
solving 23 dof system to machine precision using arnoldi solver
residual decreased by 16.1 orders using 0 krylov vectors
solver returned with residual 5e-17
constrained 36/98 dofs
optimum value 1.10e-08
solve
solving 62 dof system to machine precision using arnoldi solver
residual decreased by 15.4 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
solver returned with residual 4e-16
ndofs: 98, L2 error: 1.38e-03 (-1.11), H1 error: 5.32e-02 (-0.55)
sol.png
err.png
level 4/5
optimize
constrained 25/205 dofs
optimum value 0.00e+00
optimize
solve
solving 23 dof system to machine precision using arnoldi solver
residual decreased by 16.1 orders using 0 krylov vectors
solver returned with residual 5e-17
constrained 48/205 dofs
optimum value 1.10e-08
solve
solving 157 dof system to machine precision using arnoldi solver
residual decreased by 15.0 orders using 0 krylov vectors
residual decreased by 0.4 orders using 1 krylov vectors
solver returned with residual 5e-16
ndofs: 205, L2 error: 4.76e-04 (-1.23), H1 error: 3.25e-02 (-0.59)
sol.png
err.png
level 5/5
optimize
constrained 29/281 dofs
optimum value 0.00e+00
optimize
solve
solving 31 dof system to machine precision using arnoldi solver
residual decreased by 16.1 orders using 0 krylov vectors
solver returned with residual 5e-17
constrained 60/281 dofs
optimum value 6.49e-09
solve
solving 221 dof system to machine precision using arnoldi solver
residual decreased by 15.1 orders using 0 krylov vectors
residual decreased by 0.2 orders using 1 krylov vectors
residual decreased by 0.1 orders using 2 krylov vectors
solver returned with residual 7e-16
ndofs: 281, L2 error: 2.29e-04 (-1.39), H1 error: 2.11e-02 (-0.70)
sol.png
err.png