DUNE-FEM-HOWTO contains a step by step introduction to the DUNE-FEM module. It contains code on how to solve different types of partial differential equations on parallel computers with DUNE-FEM.
The first part of the tutorial shows in 5 steps how to solve a nonlinear elliptic problem - introducing the assembly of a linear elliptic operator and then how to use this together with a Newton type scheme to solve a nonlinear problem.
The code for the linear elliptic is extended to include local adaptivity based on a residual type estimate. Furthermore a DG type discretization is discussed.
In the next step the elliptic operator is used to solve a system of nonlinear reaction-diffusion equations.
The final tutorial covers the implementation of a finite-volume scheme for a system of nonlinear conservation laws.
Further section discuss the available linear solvers, I/O and thread parallelization.
The code can be a good starting point for your own project.
The full repository is hosted on our GitLab instance. In order to use a stable release, please check out the corresponding branch.
The last DUNE-FEM-HOWTO stable releases are also available as tar balls: + DUNE-FEM-HOWTO-1.3.0.tar.gz - compatible with DUNE-FEM-1.3.1 + DUNE-FEM-HOWTO-1.4.0.tar.gz - compatible with DUNE-FEM-1.4.0 + DUNE-FEM-HOWTO-2.4.0.tar.gz - compatible with DUNE-FEM-2.4.0
All the known issues of DUNE-FEM-HOWTO can be found on the online bug traker. Please use it to report any bug.