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arXiv · 1811.03430

A Robust Solver for a Second Order Mixed Finite Element Method for the Cahn-Hilliard Equation

Susanne C. Brenner·Amanda E. Diegel·Li-Yeng Sung
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Abstract

We develop a robust solver for a second order mixed finite element splitting scheme for the Cahn-Hilliard equation. This work is an extension of our previous work in which we developed a robust solver for a first order mixed finite element splitting scheme for the Cahn-Hilliard equaion. The key ingredient of the solver is a preconditioned minimal residual algorithm (with a multigrid preconditioner) whose performance is independent of the spacial mesh size and the time step size for a given interfacial width parameter. The dependence on the interfacial width parameter is also mild.

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Susanne C. Brenner, Amanda E. Diegel, Li-Yeng Sung. 2018-11-06. A Robust Solver for a Second Order Mixed Finite Element Method for the Cahn-Hilliard Equation. https://arxiv.org/abs/1811.03430

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