Cahn-Hilliard方程的局部间断Galerkin方法

J4 ›› 2010, Vol. 45 ›› Issue (8): 27-31.

Cahn-Hilliard方程的局部间断Galerkin方法

田明鲁,刘蕴贤

山东大学数学学院, 山东济南 250100

收稿日期:2009-06-10 出版日期:2010-08-16 发布日期:2010-09-16
作者简介:田明鲁(1985-), 男, 硕士研究生, 研究方向为间断有限元方法. Email: tianminglu@126.com
基金资助:
国家自然科学基金资助项目(10501031); 山东省自然科学基金资助项目(ZR2009AM015)

The local discontiunous Galerkin method for Cahn-Hilliard equation

TIAN Ming-lu, LIU Yun-xian

School of Mathematics, Shandong University, Jinan 250100, Shandong, China

Received:2009-06-10 Online:2010-08-16 Published:2010-09-16

摘要/Abstract

摘要：

用局部间断Galerkin(LDG)方法构造了一维非线性Cahn-Hilliard方程的求解格式, 并分析了其稳定性,最后给出了数值模拟。

关键词: Cahn-hilliard方程;局部间断Galerkin方法;稳定性;数值模拟

Abstract:

By using the Local discontinous Galerkin (LDG) method, one-dimensional nonlinear Cahn-Hilliard equation is solved. The energy stability is obtained and numerical simulation is presented.

Key words: Cahn-Hilliard equation; local discontinous Galerkin method; stability; numerical simulation

田明鲁,刘蕴贤. Cahn-Hilliard方程的局部间断Galerkin方法[J]. J4, 2010, 45(8): 27-31.

TIAN Ming-lu, LIU Yun-xian. The local discontiunous Galerkin method for Cahn-Hilliard equation[J]. J4, 2010, 45(8): 27-31.

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