CONVERGENCE OF THE TIME-DOMAIN PERFECTLY MATCHED LAYER METHOD FOR ACOUSTIC SCATTERING PROBLEMS

	CONVERGENCE OF THE TIME-DOMAIN PERFECTLY MATCHED LAYER METHOD FOR ACOUSTIC SCATTERING PROBLEMS
	Chen, Zhiming
	2009
发表期刊	INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
ISSN	1705-5105
卷号	6 期号:1 页码:124-146
摘要	In this paper we establish the stability and convergence of the time-domain perfectly matched layer (PML) method for solving the acoustic scattering problems. We first prove the well-posedness and the stability of the time-dependent acoustic scattering problem with the Dirichlet-to-Neumann boundary condition. Next we show the well-posedness of the unsplit-field PML method for the acoustic scattering problems. Then we prove the exponential convergence of the non-splitting PML method in terms of the thickness and medium property of the artificial PML layer. The proof depends on a stability result of the PML system for constant medium property and an exponential decay estimate of the modified Bessel functions.
关键词	perfectly matched layer acoustic scattering exponential convergence stability
语种	英语
资助项目	China NSF[10428105] ; National Basic Research Project[2005CB32171]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000264008000007
出版者	ISCI-INST SCIENTIFIC COMPUTING & INFORMATION
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8386
专题	计算数学与科学工程计算研究所
通讯作者	Chen, Zhiming
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, Zhiming. CONVERGENCE OF THE TIME-DOMAIN PERFECTLY MATCHED LAYER METHOD FOR ACOUSTIC SCATTERING PROBLEMS[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2009,6(1):124-146.
APA	Chen, Zhiming.(2009).CONVERGENCE OF THE TIME-DOMAIN PERFECTLY MATCHED LAYER METHOD FOR ACOUSTIC SCATTERING PROBLEMS.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,6(1),124-146.
MLA	Chen, Zhiming."CONVERGENCE OF THE TIME-DOMAIN PERFECTLY MATCHED LAYER METHOD FOR ACOUSTIC SCATTERING PROBLEMS".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 6.1(2009):124-146.