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A domain decomposition method based on natural boundary reduction for nonlinear time-dependent exterior wave problems

文献类型：期刊论文

作者Du, Q; Yu, D
刊名COMPUTING
出版日期2002
卷号68期号:2页码:111-129
关键词nonlinear wave equations natural boundary reduction (NBR) domain decomposition method (DDM) exterior problems
ISSN号0010-485X
DOI10.1007/s00607-001-1432-y
英文摘要A new domain decomposition method based on natural boundary reduction is devised for the solution of nonlinear time-dependent exterior wave problems. The two-dimensional nonlinear scalar wave equation is taken as a model to illustrate the method. The governing equation is first discretized in time, leading to a time-stepping scheme, where a nonlinear exterior elliptic problem has to be solved at each time step. Two artificial boundaries are introduced. The Schwarz alternating method is proposed. The convergence of this algorithm is given. The contraction factor for exterior circular domain is also discussed. Numerical results are presented for the nonlinear wave equation to demonstrate the performance of the method.
WOS研究方向Computer Science
语种英语
WOS记录号WOS:000174844400002
出版者SPRINGER-VERLAG WIEN
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/17085]  
专题中国科学院数学与系统科学研究院
通讯作者Du, Q
作者单位1.Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, Beijing 100080, Peoples R China
推荐引用方式
GB/T 7714		 Du, Q,Yu, D. A domain decomposition method based on natural boundary reduction for nonlinear time-dependent exterior wave problems[J]. COMPUTING,2002,68(2):111-129.
APA Du, Q,&Yu, D.(2002).A domain decomposition method based on natural boundary reduction for nonlinear time-dependent exterior wave problems.COMPUTING,68(2),111-129.
MLA Du, Q,et al."A domain decomposition method based on natural boundary reduction for nonlinear time-dependent exterior wave problems".COMPUTING 68.2(2002):111-129.

入库方式： OAI收割

来源：数学与系统科学研究院

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