A nonconforming finite element method for the Cahn-Hilliard equation

被引：41

作者：

Zhang, Shuo ^{[2
]}

Wang, Ming ^{[1
]}

机构：

[1] Peking Univ, LMAM Sch Math Sci, Beijing 100871, Peoples R China

[2] Chinese Acad Sci, LSEC, Inst Computat Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2010年 / 229卷 / 19期

基金：

中国国家自然科学基金;

关键词：

Cahn-Hilliard equation; Nonconforming finite element; Convexity splitting; Phase transition; FOURIER-SPECTRAL METHOD; DISCONTINUOUS GALERKIN METHODS; NONLINEAR DIFFERENCE SCHEME; TIME-STEPPING METHODS; SPINODAL DECOMPOSITION; NUMERICAL-ANALYSIS; COLLOCATION METHOD; PHASE-TRANSITION; FREE-ENERGY; SYSTEM;

D O I：

10.1016/j.jcp.2010.06.020

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper reports a fully discretized scheme for the Cahn-Hilliard equation. The method uses a convexity-splitting scheme to discretize in the temporal variable and a nonconforming finite element method to discretize in the spatial variable. And, the scheme can preserve the mass conservation and energy dissipation properties of the original problem. Some typical phase transition phenomena are also observed through the numerical examples. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：7361 / 7372

页数：12

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