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NGSTrefftz

Binder Docker Image Version (latest by date) PyPI GitHub Workflow Status

NGSTrefftz provides a framework to implement Trefftz finite element spaces for NGSolve, with several Trefftz spaces already implemented. Additionally, Trefftz-DG on tent-pitched meshes for the acoustic wave equation is implemented using meshes provided by ngstents. Furthermore, the package includes an implementation of the embedded Trefftz method.

Try it out!

You can try out some jupyter notebooks:

  • Launch the Binder here:
    Binder
  • Or run the docker locally (you need to have docker installed):
git clone https://github.com/PaulSt/NGSTrefftz
cd NGSTrefftz && docker build -t ngstrefftz_jupyter .
docker run -p 8888:8888 ngstrefftz_jupyter

Installing the package

You need to have ngsolve installed. Then you can either:

  • install using pip
pip install ngstrefftz
  • or build from source
git clone --recursive https://github.com/PaulSt/NGSTrefftz
mkdir ./NGSTrefftz/make && cd ./NGSTrefftz/make
cmake ../src && make install

Papers using the code

  • Tent pitching and Trefftz-DG method for the acoustic wave equation
    arXiv
  • A space-time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients
    arXiv
  • Embedded Trefftz discontinuous Galerkin methods
    arXiv

ngstrefftz's People

Contributors

paulst avatar schruste avatar

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