Convergence of an Anisotropic Perfectly Matched Layer Method for Helmholtz Scattering Problems | |
Liang, Chao1,2; Xiang, Xueshuang3 | |
刊名 | NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
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2016-08-01 | |
卷号 | 9期号:3页码:358-382 |
关键词 | Anisotropic PML Helmholtz equation Reflection argument Exponential convergence |
ISSN号 | 1004-8979 |
DOI | 10.4208/nmtma.2016.m1505 |
英文摘要 | The anisotropic perfectly matched layer (APML) defines a continuous vector field outside a rectangle domain and performs the complex coordinate stretching along the vector field. Inspired by [Z. Chen et al., Inverse Probl. Imag., 7, (2013): 663-678] and based on the idea of the shortest distance, we propose a new approach to construct the vector field which still allows us to prove the exponential decay of the stretched Green function without the constraint on the thickness of the PML layer. Moreover, by using the reflection argument, we prove the stability of the PML problem in the PML layer and the convergence of the PML method. Numerical experiments are also included. |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | CAMBRIDGE UNIV PRESS |
WOS记录号 | WOS:000381262600003 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/23466] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Xiang, Xueshuang |
作者单位 | 1.Sci & Technol Elect Informat Control Lab, Chengdu 610036, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China 3.China Acad Space Technol, Qian Xuesen Lab Space Technol, Beijing 100094, Peoples R China |
推荐引用方式 GB/T 7714 | Liang, Chao,Xiang, Xueshuang. Convergence of an Anisotropic Perfectly Matched Layer Method for Helmholtz Scattering Problems[J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,2016,9(3):358-382. |
APA | Liang, Chao,&Xiang, Xueshuang.(2016).Convergence of an Anisotropic Perfectly Matched Layer Method for Helmholtz Scattering Problems.NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,9(3),358-382. |
MLA | Liang, Chao,et al."Convergence of an Anisotropic Perfectly Matched Layer Method for Helmholtz Scattering Problems".NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS 9.3(2016):358-382. |
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