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

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.

To cite this paper:
Bendimerad-Hohl Antoine, Haine Ghislain, Matignon Denis (2023) Structure-preserving Discretization of the Cahn-Hilliard Equations Recast as a Port-Hamiltonian System. In: Geometric Science of Information. GSI 2023. Lecture Notes in Computer Science; 14072:192–201. Springer, Cham. St. Malo, France.

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