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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 PublicationAPPLIED NUMERICAL MATHEMATICS
ISSN0168-9274
Volume44Issue:4Pages:471-486
AbstractIn 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.
Keywordtime-dependent problem natural boundary reduction (NBR) D-N alternating algorithm numerical implementation unbounded domain
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000180991700003
PublisherELSEVIER SCIENCE BV
Citation statistics
Cited Times:7[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/18539
Collection中国科学院数学与系统科学研究院
Affiliation1.Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Jiangsu, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
Recommended Citation
GB/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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