A nonoverlapping domain decomposition method for Maxwell's equations in three dimensions

doi:10.1137/S0036142901396909

CSpace

	A nonoverlapping domain decomposition method for Maxwell's equations in three dimensions
	Hu, QY ; Zou, J
	2003
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	41 期号:5 页码:1682-1708
摘要	In this paper, we propose a nonoverlapping domain decomposition method for solving the three-dimensional Maxwell equations, based on the edge element discretization. For the Schur complement system on the interface, we construct an efficient preconditioner by introducing two special coarse subspaces defined on the nonoverlapping subdomains. It is shown that the condition number of the preconditioned system grows only polylogarithmically with the ratio between the subdomain diameter and the finite element mesh size but possibly depends on the jumps of the coefficients.
关键词	Maxwell's equations Nedelec finite elements nonoverlapping domain decomposition condition numbers
DOI	10.1137/S0036142901396909
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000187148700004
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/18686
专题	中国科学院数学与系统科学研究院
通讯作者	Hu, QY
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 2.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Hu, QY,Zou, J. A nonoverlapping domain decomposition method for Maxwell's equations in three dimensions[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2003,41(5):1682-1708.
APA	Hu, QY,&Zou, J.(2003).A nonoverlapping domain decomposition method for Maxwell's equations in three dimensions.SIAM JOURNAL ON NUMERICAL ANALYSIS,41(5),1682-1708.
MLA	Hu, QY,et al."A nonoverlapping domain decomposition method for Maxwell's equations in three dimensions".SIAM JOURNAL ON NUMERICAL ANALYSIS 41.5(2003):1682-1708.