Last update: 21-Apr-2026

Introduction to Python

• einfuehrung_python.ipynb (deutsch)
• introduction_to_python.ipynb (english)

Finite difference method

• A possible implementation of the FDM on the square domain: FDM_square.py
• Some example on the L-shaped domain: FDM_L.py
• 9-point stencil: FDM_square_9point.py

Finite element method

• Finite element mesh refinement: red_refine.py
• Basic plotting for the FEM: plot_test.py
• An example implementation of the FEM: fem_example.py
• The Mini element: mini_example.py
• Linear nondivergence PDE with P1 FEM: nondiv_p1.py

Iterative solvers

• Implementation of PCG with SSOR preconditioning for the FDM system: pcg_ssor_study.py
• A basic implementation of FDM multigrid: mg_teach.py
• Very basic implementation of the FEM W-cycle: fem_mg.py