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$C^1$-VEM for some variants of the Cahn-Hilliard equation: a numerical exploration (2112.15405v1)
Published 31 Dec 2021 in math.NA and cs.NA
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.
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