Title

A robust solver for a second order mixed finite element method for the Cahn–Hilliard equation

Document Type

Article

Publication Date

1-15-2020

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 equation. The key ingredient of the solver is a preconditioned minimal residual algorithm (with a multigrid preconditioner) whose performance is independent of the spatial mesh size and the time step size for a given interfacial width parameter. The dependence on the interfacial width parameter is also mild.

Publication Source (Journal or Book title)

Journal of Computational and Applied Mathematics

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