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arXiv · 2408.14745

A New Mixed Finite Element Method For The Cahn-Hilliard Equation

Zhen Liu·Rui Ma·Min Zhang
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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.

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Zhen Liu, Rui Ma, Min Zhang. 2026-02-10. A New Mixed Finite Element Method For The Cahn-Hilliard Equation. https://arxiv.org/abs/2408.14745

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