A mortar edge element method with nearly optimal convergence for three-dimensional Maxwell's equations

	A mortar edge element method with nearly optimal convergence for three-dimensional Maxwell's equations
	Hu, Qiya1,2 ; Shu, Shi 3; Zou, Jun 4
	2008
发表期刊	MATHEMATICS OF COMPUTATION
ISSN	0025-5718
卷号	77 期号:263 页码:1333-1353
摘要	In this paper, we are concerned with mortar edge element methods for solving three-dimensional Maxwell's equations. A new type of Lagrange multiplier space is introduced to impose the weak continuity of the tangential components of the edge element solutions across the interfaces between neighboring subdomains. The mortar edge element method is shown to have nearly optimal convergence under some natural regularity assumptions when nested triangulations are assumed on the interfaces. A generalized edge element interpolation is introduced which plays a crucial role in establishing the nearly optimal convergence. The theoretically predicted convergence is confirmed by numerical experiments.
关键词	Maxwell's equations Nedelec finite elements domain decomposition nonmatching grids generalized interpolation error estimate
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000257559400006
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6141
专题	计算数学与科学工程计算研究所
通讯作者	Hu, Qiya
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 3.Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China 4.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Hu, Qiya,Shu, Shi,Zou, Jun. A mortar edge element method with nearly optimal convergence for three-dimensional Maxwell's equations[J]. MATHEMATICS OF COMPUTATION,2008,77(263):1333-1353.
APA	Hu, Qiya,Shu, Shi,&Zou, Jun.(2008).A mortar edge element method with nearly optimal convergence for three-dimensional Maxwell's equations.MATHEMATICS OF COMPUTATION,77(263),1333-1353.
MLA	Hu, Qiya,et al."A mortar edge element method with nearly optimal convergence for three-dimensional Maxwell's equations".MATHEMATICS OF COMPUTATION 77.263(2008):1333-1353.