A multigrid finite element solver for the Cahn-Hilliard equation

被引：83

作者：

Kay, D ^{[1
]}

Welford, R ^{[1
]}

机构：

[1] Univ Sussex, Dept Math, Brighton BN1 9RF, E Sussex, England

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2006年 / 212卷 / 01期

关键词：

Cahn-Hilliard equation; finite element; non-linear multigrid method;

D O I：

10.1016/j.jcp.2005.07.004

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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 epsilon -> 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. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：288 / 304

页数：17

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