A non-overlapping domain decomposition for low-frequency time-harmonic Maxwell's equations in unbounded domains

doi:10.1007/s10444-007-9027-6

	A non-overlapping domain decomposition for low-frequency time-harmonic Maxwell's equations in unbounded domains
	Liu, Yang 1,2; Hu, Qiya1 ; Yu, Dehao 1
	2008-05-01
发表期刊	ADVANCES IN COMPUTATIONAL MATHEMATICS
ISSN	1019-7168
卷号	28 期号:4 页码:355-382
摘要	In this paper, we are concerned with a non-overlapping domain decomposition method for solving the low-frequency time-harmonic Maxwell's equations in unbounded domains. This method can be viewed as a coupling of finite elements and boundary elements in unbounded domains, which are decomposed into two subdomains with a spherical artificial boundary. We first introduce a discretization for the coupled variational problem by combining Nedelec edge elements of the lowest order and curvilinear elements. Then we design a D-N alternating method for solving the discrete problem. In the method, one needs only to solve the finite element problem (in a bounded domain) and calculate some boundary integrations, instead of solving a boundary integral equation. It will be shown that such iterative algorithm converges with a rate independent of the mesh size.
关键词	Maxwell's equations Unbounded domains Domain decomposition Boundary integral Nedelec finite elements D-N alternation
DOI	10.1007/s10444-007-9027-6
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000254431300003
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5288
专题	计算数学与科学工程计算研究所
作者单位	1.Chinese Acad Sci, Acad Math & Sci Sci, LSEC, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Grad Univ, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Liu, Yang,Hu, Qiya,Yu, Dehao. A non-overlapping domain decomposition for low-frequency time-harmonic Maxwell's equations in unbounded domains[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2008,28(4):355-382.
APA	Liu, Yang,Hu, Qiya,&Yu, Dehao.(2008).A non-overlapping domain decomposition for low-frequency time-harmonic Maxwell's equations in unbounded domains.ADVANCES IN COMPUTATIONAL MATHEMATICS,28(4),355-382.
MLA	Liu, Yang,et al."A non-overlapping domain decomposition for low-frequency time-harmonic Maxwell's equations in unbounded domains".ADVANCES IN COMPUTATIONAL MATHEMATICS 28.4(2008):355-382.