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A $C^1$ Virtual Element Method for the Cahn--Hilliard Equation with Polygonal Meshes

A $C^1$ Virtual Element Method for the Cahn--Hilliard Equation with Polygonal Meshes

In this paper we develop an evolution of the $C^1$ virtual elements of minimal degree for the approximation of the Cahn--Hilliard equation. The proposed method has the advantage of being conforming in $H^2$ and making use of a very simple set of degrees of freedom, namely, 3 degrees of freedom …