The adaptive immersed interface finite element method for elliptic and Maxwell interface problems

doi:10.1016/j.jcp.2009.03.044

	The adaptive immersed interface finite element method for elliptic and Maxwell interface problems
	Chen, Zhiming1 ; Xiao, Yuanming 2; Zhang, Linbo1
	2009-08-01
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	228 期号:14 页码:5000-5019
摘要	We propose self-adaptive finite element methods with error control for solving elliptic and electromagnetic problems with discontinuous coefficients. The meshes in the methods do not need to fit the interfaces. New error indicators are introduced to control the error due to non-body-fitted meshes. Flexible h-adaptive strategies are developed, which can be systematically extended to a large class of interface problems. Extensive numerical experiments are performed to support the theoretical results and to show the competitive behavior of the adaptive algorithm even for interfaces involving corner or tip singularities. (C) 2009 Elsevier Inc. All rights reserved.
关键词	Adaptive finite element method Interface problems Non-body-fitted meshes Elliptic equation Maxwell's equations
DOI	10.1016/j.jcp.2009.03.044
语种	英语
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000267846500004
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/7236
专题	计算数学与科学工程计算研究所
通讯作者	Chen, Zhiming
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100080, Peoples R China 2.Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
推荐引用方式 GB/T 7714	Chen, Zhiming,Xiao, Yuanming,Zhang, Linbo. The adaptive immersed interface finite element method for elliptic and Maxwell interface problems[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2009,228(14):5000-5019.
APA	Chen, Zhiming,Xiao, Yuanming,&Zhang, Linbo.(2009).The adaptive immersed interface finite element method for elliptic and Maxwell interface problems.JOURNAL OF COMPUTATIONAL PHYSICS,228(14),5000-5019.
MLA	Chen, Zhiming,et al."The adaptive immersed interface finite element method for elliptic and Maxwell interface problems".JOURNAL OF COMPUTATIONAL PHYSICS 228.14(2009):5000-5019.