A New Mixed Finite Element Method For The Cahn-Hilliard Equation
Numerical Analysis
2026-02-11 v2 Numerical Analysis
Abstract
This paper presents a new mixed finite element method for the Cahn-Hilliard equation. The well-posedness of the mixed formulation is established and the error estimates for its linearized fully discrete scheme are provided. The new mixed finite element method provides a unified construction in two and three dimensions allowing for arbitrary polynomial degrees. Numerical experiments are given to validate the efficiency and accuracy of the theoretical results.
Cite
@article{arxiv.2408.14745,
title = {A New Mixed Finite Element Method For The Cahn-Hilliard Equation},
author = {Zhen Liu and Rui Ma and Min Zhang},
journal= {arXiv preprint arXiv:2408.14745},
year = {2026}
}