Local discontinuous Galerkin methods for the Cahn-Hilliard type equations

被引：123
作者：
Xia, Yinhua
Xu, Yan
Shu, Chi-Wang [1 ]
机构：
[1] Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China
[2] Univ Twente, Dept Appl Math, NL-7500 AE Enschede, Netherlands
[3] Brown Univ, Div Appl Math, Providence, RI 02912 USA
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2007年 / 227卷 / 01期
基金：
中国国家自然科学基金; 美国国家科学基金会;
关键词：
Cahn-Hilliard equation; Cahn-Hilliard system; local discontinuous Galerkin methods; stability;
D O I：
10.1016/j.jcp.2007.08.001
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, we develop local discontinuous Galerkin (LDG) methods for the fourth order nonlinear Cahn-Hilliar equation and system. The energy stability of the LDG methods is proved for the general nonlinear case. Numerical examples for the Cahn-Hilliard equation and the Cahn-Hilliard system in one and two dimensions are presented and if numerical results illustrate the accuracy and capability of the methods. (C) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：472 / 491
页数：20
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