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

doi:10.1007/s00607-001-1432-y

CSpace

	A domain decomposition method based on natural boundary reduction for nonlinear time-dependent exterior wave problems
	Du, Q ; Yu, D
	2002
发表期刊	COMPUTING
ISSN	0010-485X
卷号	68 期号:2 页码:111-129
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.
关键词	nonlinear wave equations natural boundary reduction (NBR) domain decomposition method (DDM) exterior problems
DOI	10.1007/s00607-001-1432-y
语种	英语
WOS研究方向	Computer Science
WOS类目	Computer Science, Theory & Methods
WOS记录号	WOS:000174844400002
出版者	SPRINGER-VERLAG WIEN
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17086
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.