# NGS-Py Finite Element Tool¶

Netgen/NGSolve 6 contains a rich Python interface. Program flow as well as geometry description and equation setup can be controlled from Python. You should be familiar with weak formulations of partial differential equations and the finite element method (NGSolve-oriented lecture notes are here: Scientific Computing) and the Python programming language. The interface to Python is inspired by the FEniCS project.

Tutorial on Using NGSpy by Jay Gopalakrishnan

- Interactive NGSolve Tutorial
- 1. Getting started
- 2. Advanced Topics
- 2.1.1 Preconditioners in NGSolve
- 2.1.2 Building blocks for programming preconditioners
- 2.1.3 Element-wise BDDC Preconditioner
- 2.2 Eigenvalue problems
- 2.3 \(H(curl)\) and \(H(div)\) function spaces
- 2.4 Maxwell’s Equations
- 2.5 Mixed formulation for second order equations
- 2.6 Stokes equation
- 2.7 Facet spaces and hybrid methods
- 2.8 Discontinuous Galerkin Methods
- 2.9 Fourth order equations

- 3. Time-dependent and non-linear problems
- 4. Geometric modeling and mesh generation
- 5. MPI - Parallelization

- Working with CoefficientFunctions
- Setting inhomogeneous Dirichlet boundary conditions
- Define and update preconditioners
- The Trace() operator
- Vectors and matrices
- Static condensation of internal bubbles
- Discontinuous Galerkin methods
- Parallel computing with NGS-Py
- Interfacing to numpy/scipy
- Periodicity
- Symbolic Integrators
- Spaces and forms on sub-domains
- Perfectly Matched Layers

# MyLittleNGSolve - An Introduction into C++ Programming with NGSolve¶

This project is divided into 3 sections:

The basic section should provide you with knowledge about NGSolve’s classes and how to overload them or provide C++ utility functions, as well as export all that to python.

The advanced section gives some more useful examples to browse through.

The legacy section contains old code, it may be useful mainly for people working already for some time with NGSolve and looking something up. Please keep in mind, that these things are not maintained and may contain code that does not work (efficiently) any more.