Finite element methods with matching and nonmatching meshes for Maxwell equations with discontinuous coefficients

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	Finite element methods with matching and nonmatching meshes for Maxwell equations with discontinuous coefficients
	Chen, ZM ; Du, Q ; Zou, J
	2000-05-26
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	37 期号:5 页码:1542-1570
摘要	We investigate the finite element methods for solving time-dependent Maxwell equations with discontinuous coefficients in general three-dimensional Lipschitz polyhedral domains. Both matching and nonmatching finite element meshes on the interfaces are considered, and optimal error estimates for both cases are obtained. The analysis of the latter case is based on an abstract framework for nested saddle point problems, along with a characterization of the trace space for H(curl; D), a new extension theorem for H(curl; D) functions in any Lipschitz domain D, and a novel compactness argument for deriving discrete inf-sup conditions.
关键词	finite element method Maxwell equations interface problems nonmatching meshes error estimates saddle point formulation extension theorem
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000087305200006
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15605
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, ZM
作者单位	1.Acad Sinica, Inst Math, Beijing 100080, Peoples R China 2.Hong Kong Univ Sci & Technol, Dept Math, Clear Water Bay, Hong Kong, Peoples R China 3.Iowa State Univ, Dept Math, Ames, IA 50011 USA 4.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Chen, ZM,Du, Q,Zou, J. Finite element methods with matching and nonmatching meshes for Maxwell equations with discontinuous coefficients[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2000,37(5):1542-1570.
APA	Chen, ZM,Du, Q,&Zou, J.(2000).Finite element methods with matching and nonmatching meshes for Maxwell equations with discontinuous coefficients.SIAM JOURNAL ON NUMERICAL ANALYSIS,37(5),1542-1570.
MLA	Chen, ZM,et al."Finite element methods with matching and nonmatching meshes for Maxwell equations with discontinuous coefficients".SIAM JOURNAL ON NUMERICAL ANALYSIS 37.5(2000):1542-1570.