CONVERGENCE OF THE PML METHOD FOR ELASTIC WAVE SCATTERING PROBLEMS

doi:10.1090/mcom/3100

	CONVERGENCE OF THE PML METHOD FOR ELASTIC WAVE SCATTERING PROBLEMS
	Chen, Zhiming1 ; Xiang, Xueshuang 2; Zhang, Xiaohui 1
	2016-11-01
发表期刊	MATHEMATICS OF COMPUTATION
ISSN	0025-5718
卷号	85 期号:302 页码:2687-2714
摘要	In this paper we study the convergence of the perfectly matched layer (PML) method for solving the time harmonic elastic wave scattering problems. We introduce a simple condition on the PML complex coordinate stretching function to guarantee the ellipticity of the PML operator. We also introduce a new boundary condition at the outer boundary of the PML layer which allows us to extend the reflection argument of Bramble and Pasciak to prove the stability of the PML problem in the truncated domain. The exponential convergence of the PML method in terms of the thickness of the PML layer and the strength of PML medium property is proved. Numerical results are included.
DOI	10.1090/mcom/3100
语种	英语
资助项目	National Basic Research Project[2011CB309700] ; China NSF[11021101] ; China NSF[11321061]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000381273500005
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23488
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	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China 2.China Acad Space Technol, Qian Xuesen Lab Space Technol, Beijing 100094, Peoples R China
推荐引用方式 GB/T 7714	Chen, Zhiming,Xiang, Xueshuang,Zhang, Xiaohui. CONVERGENCE OF THE PML METHOD FOR ELASTIC WAVE SCATTERING PROBLEMS[J]. MATHEMATICS OF COMPUTATION,2016,85(302):2687-2714.
APA	Chen, Zhiming,Xiang, Xueshuang,&Zhang, Xiaohui.(2016).CONVERGENCE OF THE PML METHOD FOR ELASTIC WAVE SCATTERING PROBLEMS.MATHEMATICS OF COMPUTATION,85(302),2687-2714.
MLA	Chen, Zhiming,et al."CONVERGENCE OF THE PML METHOD FOR ELASTIC WAVE SCATTERING PROBLEMS".MATHEMATICS OF COMPUTATION 85.302(2016):2687-2714.