Usage

Windows

For a windows user, you need to use Python3 with version 3.7 to make NGSolve work.

To solve for the fractal boundary problem described in our notes, use

py -3.7 -i main.py

To compare the performance of adaptive mesh refinement and global mesh refinement for

• solving the fractal boundary problem described in our notes with a user-defined lam, for example, lam = 2.56, use

py -3.7 -i solver.py lam 2.56

• solving the fractal boundary problem with a manufactured solution, use

py -3.7 -i solver.py

• solving -div(grad u) = 1 with homogeneous Dirichlet boundary condition on an L-shape domain, where the adaptive mesh works much better, use

py -3.7 -i solver.py singular

Linux

To solve for the fractal boundary problem described in our notes, use

python3 -i main.py

To compare the performance of adaptive mesh refinement and global mesh refinement for

• solving the fractal boundary problem described in our notes with a user-defined lam, for example, lam = 2.56, use

python3 -i solver.py lam 2.56

• solving the fractal boundary problem with a manufactured solution, use

python3 -i solver.py

• solving -div(grad u) = 1 with homogeneous Dirichlet boundary condition on an L-shape domain, where the adaptive mesh works much better, use

python3 -i solver.py singular