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arXiv · 2112.15405

$C^1$-VEM for some variants of the Cahn-Hilliard equation: a numerical exploration

Paola F. Antonietti·Simone Scacchi·Giuseppe Vacca·Marco Verani
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Abstract

We consider the $C^1$-Virtual Element Method (VEM) for the conforming numerical approximation of some variants of the Cahn-Hilliard equation on polygonal meshes. In particular, we focus on the discretization of the advective Cahn-Hilliard problem and the Cahn-Hilliard inpainting problem. We present the numerical approximation and several numerical results to assess the efficacy of the proposed methodology.

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Paola F. Antonietti, Simone Scacchi, Giuseppe Vacca, Marco Verani. 2021-12-31. $C^1$-VEM for some variants of the Cahn-Hilliard equation: a numerical exploration. https://arxiv.org/abs/2112.15405

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