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Bibliographic Details
Main Authors: Dedner, Andreas, Hodson, Alice
Format: Preprint
Published: 2021
Subjects:
Online Access:https://arxiv.org/abs/2111.11408
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Table of Contents:
  • In this paper we develop a fully nonconforming virtual element method (VEM) of arbitrary approximation order for the two dimensional Cahn-Hilliard equation. We carry out the error analysis for the semidiscrete (continuous-in-time) scheme and verify the theoretical convergence result via numerical experiments. We present a fully discrete scheme which uses a convex splitting Runge-Kutta method to discretize in the temporal variable alongside the virtual element spatial discretization.