@misc{BarattaEtal2023,
title = {{DOLFINx}: the next generation {FEniCS} problem solving environment},
author = {Baratta, Igor A. and Dean, Joseph P. and Dokken, J{\o}rgen S. and Habera, Michal and Hale, Jack S. and Richardson, Chris N. and Rognes, Marie E. and Scroggs, Matthew W. and Sime, Nathan and Wells, Garth N.},
doi = {10.5281/zenodo.10447666},
year = {2023},
howpublished = {preprint}
}
@article{ScroggsEtal2022,
title = {Construction of arbitrary order finite element degree-of-freedom maps on polygonal and polyhedral cell meshes},
author = {Scroggs, Matthew W. and Dokken, J{\o}rgen S. and Richardson, Chris N. and Wells, Garth N.},
journal = {ACM Transactions on Mathematical Software},
year = {2022},
volume = {48},
number = {2},
doi = {10.1145/3524456},
pages = {{18:1--18:23}},
}
@article{BasixJoss,
title = {Basix: a runtime finite element basis evaluation library},
author = {Scroggs, Matthew W. and Baratta, Igor A. and Richardson, Chris N. and Wells, Garth N.},
journal = {Journal of Open Source Software},
year = {2022},
volume = {7},
number = {73},
doi = {10.21105/joss.03982},
pages = {3982}
}
@article{AlnaesEtal2014,
title = {Unified Form Language: A domain-specific language for weak formulations of partial differential equations},
author = {Alnaes, Martin S. and Logg, Anders and {\O}lgaard, Kristian B. and Rognes, Marie E. and Wells, Garth N.},
journal = {{ACM} Transactions on Mathematical Software},
year = {2014},
volume = {40},
doi = {10.1145/2566630},
}
@comment{ Papers below this comment are citations for legacy FEniCS }
@article{AlnaesEtal2015,
title = {The {FEniCS} Project Version 1.5},
author = {Alnaes, Martin S. and Blechta, Jan and Hake, Johan and Johansson, August and Kehlet, Benjamin and Logg, Anders and Richardson, Chris N. and Ring, Johannes and Rognes, Marie E. and Wells, Garth N.},
journal = {Archive of Numerical Software},
year = {2015},
volume = {3},
doi = {10.11588/ans.2015.100.20553},
}
@book{LoggEtal2012,
title = {Automated Solution of Differential Equations by the Finite Element Method},
author = {Logg, Anders and Mardal, Kent-Andre and Wells, Garth N. and others},
year = {2012},
doi = {10.1007/978-3-642-23099-8},
publisher = {Springer},
}
@article{LoggWells2010,
title = {{DOLFIN:} Automated Finite Element Computing},
author = {Logg, Anders and Wells, Garth N.},
journal = {{ACM} Transactions on Mathematical Software},
year = {2010},
volume = {37},
doi = {10.1145/1731022.1731030},
}
@incollection{LoggEtal_10_2012,
title = {{DOLFIN:} a {C++/Python} Finite Element Library},
author = {Logg, Anders and Wells, Garth N. and Hake, Johan},
year = {2012},
booktitle = {Automated Solution of Differential Equations by the Finite Element Method},
publisher = {Springer},
series = {Lecture Notes in Computational Science and Engineering},
volume = {84},
chapter = {10},
editor = {Logg, Anders and Mardal, Kent-Andre and Wells, Garth N.},
}
@article{KirbyLogg2006,
title = {A Compiler for Variational Forms},
author = {Kirby, Robert C. and Logg, Anders},
journal = {{ACM} Transactions on Mathematical Software},
year = {2006},
volume = {32},
doi = {10.1145/1163641.1163644},
}
@incollection{LoggEtal_11_2012,
title = {{FFC:} the {FEniCS} Form Compiler},
author = {Logg, Anders and {\O}lgaard, Kristian B. and Rognes, Marie E. and Wells, Garth N.},
year = {2012},
booktitle = {Automated Solution of Differential Equations by the Finite Element Method},
publisher = {Springer},
series = {Lecture Notes in Computational Science and Engineering},
volume = {84},
chapter = {11},
editor = {Logg, Anders and Mardal, Kent-Andre and Wells, Garth N.},
}
@article{OlgaardWells2010,
title = {Optimisations for Quadrature Representations of Finite Element Tensors Through Automated Code Generation},
author = {{\O}lgaard, Kristian B. and Wells, Garth N.},
journal = {{ACM} Transactions on Mathematical Software},
year = {2010},
volume = {37},
doi = {10.1145/1644001.1644009},
}
@article{Kirby2004,
title = {Algorithm 839: {FIAT,} a New Paradigm for Computing Finite Element Basis Functions},
author = {Kirby, Robert C.},
journal = {{ACM} Transactions on Mathematical Software},
year = {2004},
volume = {30},
doi = {10.1145/1039813.1039820},
pages = {{502--516}},
}
@incollection{kirby2010,
title = {{FIAT:} Numerical Construction of Finite Element Basis Functions},
author = {Kirby, Robert C.},
year = {2012},
booktitle = {Automated Solution of Differential Equations by the Finite Element Method},
publisher = {Springer},
series = {Lecture Notes in Computational Science and Engineering},
volume = {84},
chapter = {13},
editor = {Logg, Anders and Mardal, Kent-Andre and Wells, Garth N.},
}