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 Dirichlet-Neumann alternating algorithm based on the natural boundary reduction for time-dependent problems over an unbounded domain Du, QK; Yu, DH 2003-03-01 Source Publication APPLIED NUMERICAL MATHEMATICS ISSN 0168-9274 Volume 44Issue:4Pages:471-486 Abstract In this paper, a new iterative algorithm to solve a time-dependent problem over an unbounded domain is suggested. This method is based on the natural boundary reduction and is suitable for solving initial boundary value problems of time-dependent wave equation over an unbounded domain. Firstly, an circular artificial boundary is introduced. Then the original unbounded domain is decomposed into a bounded domain and an exterior unbounded domain outside the artificial boundary. The natural integral equation obtained by the natural boundary reduction is used as a boundary condition on the artificial boundary. Secondly, a Dirichlet-Neumann (D-N) alternating iterative algorithm is constructed. The algorithm is equivalent to preconditioned Richardson iteration method. Thirdly, numerical studies are performed by finite element methods, and the results demonstrate the effectiveness of this algorithm. Finally, some remarks are presented. (C) 2002 IMACS. Published by Elsevier Science B.V. All rights reserved. Keyword time-dependent problem natural boundary reduction (NBR) D-N alternating algorithm numerical implementation unbounded domain Language 英语 WOS Research Area Mathematics WOS Subject Mathematics, Applied WOS ID WOS:000180991700003 Publisher ELSEVIER SCIENCE BV Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/18539 Collection 中国科学院数学与系统科学研究院 Corresponding Author Du, QK Affiliation 1.Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Jiangsu, Peoples R China2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China Recommended CitationGB/T 7714 Du, QK,Yu, DH. Dirichlet-Neumann alternating algorithm based on the natural boundary reduction for time-dependent problems over an unbounded domain[J]. APPLIED NUMERICAL MATHEMATICS,2003,44(4):471-486. APA Du, QK,&Yu, DH.(2003).Dirichlet-Neumann alternating algorithm based on the natural boundary reduction for time-dependent problems over an unbounded domain.APPLIED NUMERICAL MATHEMATICS,44(4),471-486. MLA Du, QK,et al."Dirichlet-Neumann alternating algorithm based on the natural boundary reduction for time-dependent problems over an unbounded domain".APPLIED NUMERICAL MATHEMATICS 44.4(2003):471-486.
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