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CONVERGENCE OF THE PML METHOD FOR ELASTIC WAVE SCATTERING PROBLEMS

文献类型：期刊论文

作者Chen, Zhiming1; Xiang, Xueshuang2; Zhang, Xiaohui1
刊名MATHEMATICS OF COMPUTATION
出版日期2016-11-01
卷号85期号:302页码:2687-2714
ISSN号0025-5718
DOI10.1090/mcom/3100
英文摘要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.
资助项目National Basic Research Project[2011CB309700] ; China NSF[11021101] ; China NSF[11321061]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000381273500005
出版者AMER MATHEMATICAL SOC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/23487]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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