A higher order nonconforming virtual element method for the Cahn-Hilliard equation
Numerical Analysis
2024-11-01 v3 Numerical Analysis
Abstract
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.
Cite
@article{arxiv.2111.11408,
title = {A higher order nonconforming virtual element method for the Cahn-Hilliard equation},
author = {Andreas Dedner and Alice Hodson},
journal= {arXiv preprint arXiv:2111.11408},
year = {2024}
}
Comments
25 pages, 10 figures