Dirichlet-Neumann alternating algorithm based on the natural boundary reduction for time-dependent problems over an unbounded domain
文献类型：期刊论文
| 作者 | Du, QK; Yu, DH |
| 刊名 | APPLIED NUMERICAL MATHEMATICS
 |
| 出版日期 | 2003-03-01 |
| 卷号 | 44期号:4页码:471-486 |
| 关键词 | time-dependent problem natural boundary reduction (NBR) D-N alternating algorithm numerical implementation unbounded domain |
| ISSN号 | 0168-9274 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000180991700003 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18538]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Du, QK |
| 作者单位 | 1.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 |
| 推荐引用方式 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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