dune-gdt documentation

dune-gdt is a software library for building applications using grid-based numerical methods. It is a generic discretization toolbox and provides building blocks - like local operators, local evaluations, local assemblers - for discretization methods and suitable discrete function spaces. It is realized as a DUNE module and leverages newer C++ language features and the dune-xt extensions (included in this same repository, under dune/xt and python/xt) to provide an easy-to-use and mathematically sound API. A subset of the API is exposed as Python-bindings using pybind11, and easily available as wheels on pypi.

This documentation collects the in-depth tutorials, the shorter examples, the tracked benchmarks, and the generated C++ API reference. New to dune-gdt? Start with the tutorials, then dip into the examples for focused, self-contained snippets.

Documentation

• Tutorials
  • Tutorial: data functions and interpolation
  • Tutorial: continuous FEM for the stationary heat equation
• Examples
  • Example: prolongations and computing products and norms
  • Example: Grid adaptation
  • Example: structured 1d grids (YASP_1D vs OneDGrid)
  • Example: the ALU cube grid (3d hexahedra)
  • Example: a posteriori error estimates based on flux reconstruction
  • Example: working with gmsh grids
  • Example: mixed-element and prism grids
  • Example: Taylor-Hood P2/P1 Stokes
  • Example: custom Python functions as C++ (grid) functions
  • Example: residual-based a posteriori error estimates
  • Tutorial: discontinuous IPDG for the stationary heat equation
  • Example: SIPDG for the instationary heat equation
  • Example: LA eigensolvers
  • Example: linear transport via finite volumes
• Benchmarks
• Bibliography

C++ API Reference

• API Reference