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GridapBifurcationKit.jl

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This Julia package aims at performing automatic bifurcation analysis of PDE solved using the Finite Elements Method (FEM) with the Julia package Gridap.jl.

I would like to thank Santiago Badia and Francesc Verdugo for their help in developing this package.

If you use this package for your work, please cite it!! Open source development strongly depends on this. It is referenced as follows:

@misc{veltz:hal-02902346,
  TITLE = {{BifurcationKit.jl}},
  AUTHOR = {Veltz, Romain},
  URL = {https://hal.archives-ouvertes.fr/hal-02902346},
  INSTITUTION = {{Inria Sophia-Antipolis}},
  YEAR = {2020},
  MONTH = Jul,
  KEYWORDS = {pseudo-arclength-continuation ; periodic-orbits ; floquet ; gpu ; bifurcation-diagram ; deflation ; newton-krylov},
  PDF = {https://hal.archives-ouvertes.fr/hal-02902346/file/354c9fb0d148262405609eed2cb7927818706f1f.tar.gz},
  HAL_ID = {hal-02902346},
  HAL_VERSION = {v1},
}

@article{Badia2020,
  doi = {10.21105/joss.02520},
  url = {https://doi.org/10.21105/joss.02520},
  year = {2020},
  publisher = {The Open Journal},
  volume = {5},
  number = {52},
  pages = {2520},
  author = {Santiago Badia and Francesc Verdugo},
  title = {Gridap: An extensible Finite Element toolbox in Julia},
  journal = {Journal of Open Source Software}
}

Installation

To install this package, run the command

add https://github.com/bifurcationkit/GridapBifurcationKit.jl

Main features

Most features of BifurcationKit are ported, please see the examples folder or the tutorials for example of use.