Structure-preserving Discretization of the Cahn-Hilliard Equations Recast as a Port-Hamiltonian System

Authors

Antoine Bendimerad-Hohl, Ghislain Haine, Denis Matignon

Abstract

The structure-preserving discretization of the Cahn-Hillard equation, a phase field model describing phase separation with diffuse interface, is proposed using the Partitioned Finite Element Method. The discrete counter-part of the power balance is proved and a sufficient condition for the phase preservation is provided.

Keywords

Phase field; port-Hamiltonian system; Structure-preserving discretization

Citation

• ISBN: 9783031382987
• Publisher: Springer Nature Switzerland
• DOI: 10.1007/978-3-031-38299-4_21
• Note: International Conference on Geometric Science of Information

BibTeX

@inbook{Bendimerad_Hohl_2023,
  title={{Structure-preserving Discretization of the Cahn-Hilliard Equations Recast as a Port-Hamiltonian System}},
  ISBN={9783031382994},
  ISSN={1611-3349},
  DOI={10.1007/978-3-031-38299-4_21},
  booktitle={{Geometric Science of Information}},
  publisher={Springer Nature Switzerland},
  author={Bendimerad-Hohl, Antoine and Haine, Ghislain and Matignon, Denis},
  year={2023},
  pages={192--201}
}

Download the bib file

References

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