An Adaptive Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems

	An Adaptive Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems
	Chen, Zhiming; Wu, Xinming
	2008-05-01
发表期刊	NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
ISSN	1004-8979
卷号	1 期号:2 页码:113-137
摘要	The uniaxial perfectly matched layer (PML) method uses rectangular domain to define the PML problem and thus provides greater flexibility and efficiency in dealing with problems involving anisotropic scatterers. In this paper an adaptive uniaxial PML technique for solving the time harmonic Helmholtz scattering problem is developed. The PML parameters such as the thickness of the layer and the fictitious medium property are determined through sharp a posteriori error estimates. The adaptive finite element method based on a posteriori error estimate is proposed to solve the PML equation which produces automatically a coarse mesh size away from the fixed domain and thus makes the total computational costs insensitive to the thickness of the PML absorbing layer. Numerical experiments are included to illustrate the competitive behavior of the proposed adaptive method. In particular, it is demonstrated that the PML layer can be chosen as close to one wave-length from the scatterer and still yields good accuracy and efficiency in approximating the far fields.
关键词	Adaptivity uniaxial perfectly matched layer a posteriori error analysis acoustic scattering problems
语种	英语
资助项目	China NSF[10428105] ; National Basic Research Project[2005CB321701]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000207473900002
出版者	GLOBAL SCIENCE 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/6580
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	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Chen, Zhiming,Wu, Xinming. An Adaptive Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems[J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,2008,1(2):113-137.
APA	Chen, Zhiming,&Wu, Xinming.(2008).An Adaptive Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems.NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,1(2),113-137.
MLA	Chen, Zhiming,et al."An Adaptive Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems".NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS 1.2(2008):113-137.