We consider the C1-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.

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

Antonietti, Paola F.;Verani, Marco
2022

Abstract

We consider the C1-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.
Virtual element method
polytopal meshes
fourth order problems
Cahn-Hilliard equation
impainting
parallel computing
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/1216699
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