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

文献类型：期刊论文

作者Liu, Yang1,2; Hu, Qiya1; Yu, Dehao1
刊名ADVANCES IN COMPUTATIONAL MATHEMATICS
出版日期2008-05-01
卷号28期号:4页码:355-382
关键词Maxwell's equations Unbounded domains Domain decomposition Boundary integral Nedelec finite elements D-N alternation
ISSN号1019-7168
DOI10.1007/s10444-007-9027-6
英文摘要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.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000254431300003
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/5287]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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