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CONVERGENCE OF THE PML METHOD FOR ELASTIC WAVE SCATTERING PROBLEMS
Chen, Zhiming1; Xiang, Xueshuang2; Zhang, Xiaohui1
2016-11-01
Source PublicationMATHEMATICS OF COMPUTATION
ISSN0025-5718
Volume85Issue:302Pages:2687-2714
AbstractIn 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.
DOI10.1090/mcom/3100
Language英语
Funding ProjectNational Basic Research Project[2011CB309700] ; China NSF[11021101] ; China NSF[11321061]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000381273500005
PublisherAMER MATHEMATICAL SOC
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/23488
Collection计算数学与科学工程计算研究所
Corresponding AuthorChen, Zhiming
Affiliation1.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
Recommended Citation
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.
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