Title

A Robust Solver for a Mixed Finite Element Method for the Cahn–Hilliard Equation

Document Type

Article

Publication Date

11-1-2018

Abstract

We develop a robust solver for a mixed finite element convex 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 spacial 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 Scientific Computing

First Page

1234

Last Page

1249

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