Article ID Journal Published Year Pages File Type
522613 Journal of Computational Physics 2006 17 Pages PDF
Abstract

A multigrid finite element solver for the Cahn–Hilliard equation is presented that has mesh-independent convergence rates for any time-step size, including in the important limit ϵ → 0 which is examined via numerical examples. Numerics are performed for a number of test problems which show that the features of the Cahn–Hilliard equation (minimising interface measure, Lyapunov energy functional etc.) are preserved. We also explore the use of this solver in conjunction with adaptive time-stepping and adaptive mesh strategies.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science Applications
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