PolyFEM is a polyvalent C++ FEM library.

Compilation

All the C++ dependencies required to build the code are included. It should work on Windows, macOS, and Linux, and it should build out-of-the-box with CMake:

mkdir build
cd build
cmake ..
make -j4

On Linux, zenity is required for the file dialog window to work. On macOS and Windows, the native windows are used directly.

Optional

The formula for higher-order bases is optionally computed at CMake time using an external python script. Consequently, PolyFEM might requires a working installation of Python and some additional packages to build correctly:

• numpy and sympy (optional)
• quadpy (optional)

Usage

The main executable, ./PolyFEM_bin, can be called with a GUI or through a command-line interface. Simply run:

./PolyFEM_bin

A more detailed documentation can be found on the website.

Documentation

The full documentation can be found at https://polyfem.github.io/

License

The code of PolyFEM itself is licensed under MIT License. However, please be mindful of third-party libraries which are used by PolyFEM and may be available under a different license.

Citation

If you use PolyFEM in your project, please consider citing our work:

@misc{polyfem,
  author = {Teseo Schneider and Jérémie Dumas and Xifeng Gao and Denis Zorin and Daniele Panozzo},
  title = {{Polyfem}},
  howpublished = "\url{https://polyfem.github.io/}",
  year = {2019},
}

@article{Schneider:2019:PFM,
  author = {Schneider, Teseo and Dumas, J{\'e}r{\'e}mie and Gao, Xifeng and Botsch, Mario and Panozzo, Daniele and Zorin, Denis},
  title = {Poly-Spline Finite-Element Method},
  journal = {ACM Trans. Graph.},
  volume = {38},
  number = {3},
  month = mar,
  year = {2019},
  url = {http://doi.acm.org/10.1145/3313797},
  publisher = {ACM}
}

@article{Schneider:2018:DSA,
    author = {Teseo Schneider and Yixin Hu and Jérémie Dumas and Xifeng Gao and Daniele Panozzo and Denis Zorin},
    journal = {ACM Transactions on Graphics},
    link = {},
    month = {10},
    number = {6},
    publisher = {Association for Computing Machinery (ACM)},
    title = {Decoupling Simulation Accuracy from Mesh Quality},
    volume = {37},
    year = {2018}
}

Acknowledgments & Funding

The software is being developed in the Geometric Computing Lab at NYU Courant Institute of Mathematical Sciences and the University of Victoria, Canada.

This work was partially supported by:

• the NSF CAREER award 1652515
• the NSF grant IIS-1320635
• the NSF grant DMS-1436591
• the NSF grant 1835712
• the SNSF grant P2TIP2_175859
• the NSERC grant RGPIN-2021-03707
• the NSERC grant DGECR-2021-00461
• Adobe Research
• nTopology