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BiFEniCS: a library to solve bifurcation problems in FEniCS

This library implements some continuation algorithms to numerically solve bifurcation problems using FEniCS (http://fenicsproject.org).

Dependencies

  • FEniCS
  • Numpy
  • mpi4py

Installation

In the repository directory, run

pip3 install --user -e .

Citing

If you find this code useful please cite

  • D. Riccobelli, G. Noselli, A. DeSimone (2020). Rods coiling about a rigid constraint: Helices and perversions. Proceedings of the Royal Society A: Mathematical, Physical and Engineering, 477(2246), 20200817.

Licence

The source code contained in this repository is free software: you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation, either version 2.1 of the License, or (at your option) any later version.

This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details.

Acknowledgements

This code is inspired by the wonderful library by P. E. Farrell and co-workers DEFCON: https://bitbucket.org/pefarrell/defcon/src/master/