CONVERGENCE OF THE PML METHOD FOR ELASTIC WAVE SCATTERING PROBLEMS | |
Chen, Zhiming1; Xiang, Xueshuang2; Zhang, Xiaohui1 | |
刊名 | MATHEMATICS OF COMPUTATION |
2016-11-01 | |
卷号 | 85期号:302页码:2687-2714 |
ISSN号 | 0025-5718 |
DOI | 10.1090/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 |
出版者 | AMER MATHEMATICAL SOC |
WOS记录号 | WOS:000381273500005 |
内容类型 | 期刊论文 |
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. |
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