An hp Adaptive Uniaxial Perfectly Matched Layer Method for Helmholtz Scattering Problems

	An hp Adaptive Uniaxial Perfectly Matched Layer Method for Helmholtz Scattering Problems
	Chen, Zhiming1 ; Guo, Benqi 2; Xiao, Yuanming 1
	2009-02-01
发表期刊	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN	1815-2406
卷号	5 期号:2-4 页码:546-564
摘要	We propose an adaptive strategy for solving high frequency Helmholtz scattering problems. The method is based on the uniaxial PML method to truncate the scattering problem which is defined in the unbounded domain into the bounded domain. The parameters in the uniaxial PML method are determined by sharp a posteriori error estimates developed by Chen and Wu [8]. An hp-adaptive finite element strategy is proposed to solve the uniaxial PML equation. Numerical experiments are included which indicate the desirable exponential decay property of the error.
关键词	Adaptivity uniaxial perfectly matched layer time-harmonic scattering Helmholtz equation hp-finite element method
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000263563600019
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/7053
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, Beijing 100080, Peoples R China 2.Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada
推荐引用方式 GB/T 7714	Chen, Zhiming,Guo, Benqi,Xiao, Yuanming. An hp Adaptive Uniaxial Perfectly Matched Layer Method for Helmholtz Scattering Problems[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2009,5(2-4):546-564.
APA	Chen, Zhiming,Guo, Benqi,&Xiao, Yuanming.(2009).An hp Adaptive Uniaxial Perfectly Matched Layer Method for Helmholtz Scattering Problems.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,5(2-4),546-564.
MLA	Chen, Zhiming,et al."An hp Adaptive Uniaxial Perfectly Matched Layer Method for Helmholtz Scattering Problems".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 5.2-4(2009):546-564.