A nonconforming finite element method for the Cahn-Hilliard equation

doi:10.1016/j.jcp.2010.06.020

	A nonconforming finite element method for the Cahn-Hilliard equation
	Zhang, Shuo2 ; Wang, Ming 1
	2010-09-20
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	229 期号:19 页码:7361-7372
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.
关键词	Cahn-Hilliard equation Nonconforming finite element Convexity splitting Phase transition
DOI	10.1016/j.jcp.2010.06.020
语种	英语
资助项目	National Natural Science Foundation of China[10871011]
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000281570700040
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10792
专题	计算数学与科学工程计算研究所
通讯作者	Wang, Ming
作者单位	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
推荐引用方式 GB/T 7714	Zhang, Shuo,Wang, Ming. A nonconforming finite element method for the Cahn-Hilliard equation[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2010,229(19):7361-7372.
APA	Zhang, Shuo,&Wang, Ming.(2010).A nonconforming finite element method for the Cahn-Hilliard equation.JOURNAL OF COMPUTATIONAL PHYSICS,229(19),7361-7372.
MLA	Zhang, Shuo,et al."A nonconforming finite element method for the Cahn-Hilliard equation".JOURNAL OF COMPUTATIONAL PHYSICS 229.19(2010):7361-7372.