Convergence of an Anisotropic Perfectly Matched Layer Method for Helmholtz Scattering Problems

doi:10.4208/nmtma.2016.m1505

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	Convergence of an Anisotropic Perfectly Matched Layer Method for Helmholtz Scattering Problems
	Liang, Chao 1,2; Xiang, Xueshuang 3
	2016-08-01
发表期刊	NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
ISSN	1004-8979
卷号	9 期号:3 页码:358-382
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.
关键词	Anisotropic PML Helmholtz equation Reflection argument Exponential convergence
DOI	10.4208/nmtma.2016.m1505
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000381262600003
出版者	CAMBRIDGE UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23467
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.