An Adaptive Perfectly Matched Layer Method for Multiple Cavity Scattering Problems

doi:10.4208/cicp.040215.280815a

	An Adaptive Perfectly Matched Layer Method for Multiple Cavity Scattering Problems
	Wu, Xinming 1; Zheng, Weiying2
	2016-02-01
发表期刊	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN	1815-2406
卷号	19 期号:2 页码:534-558
摘要	A uniaxial perfectly matched layer (PML) method is proposed for solving the scattering problem with multiple cavities. By virtue of the integral representation of the scattering field, we decompose the problem into a system of single-cavity scattering problems which are coupled with Dirichlet-to-Neumann maps. A PML is introduced to truncate the exterior domain of each cavity such that the computational domain does not intersect those for other cavities. Based on the a posteriori error estimates, an adaptive finite element algorithm is proposed to solve the coupled system. The novelty of the proposed method is that its computational complexity is comparable to that for solving uncoupled single-cavity problems. Numerical experiments are presented to demonstrate the efficiency of the adaptive PML method.
关键词	Uniaxial perfectly matched layer multiple cavity scattering adaptive finite element a posteriori error estimate
DOI	10.4208/cicp.040215.280815a
语种	英语
资助项目	China NSF[91330202] ; China NSF[11301089] ; China NSF[11171334] ; China NSF[91430215] ; Funds for Creative Research Groups of China[11321061] ; National 863 Project of China[2012AA01A309] ; National Magnetic Confinement Fusion Science Program[2015GB110003]
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000369252700011
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/21960
专题	计算数学与科学工程计算研究所
通讯作者	Wu, Xinming
作者单位	1.Fudan Univ, Sch Math Sci, Key Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, NCMIS,LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wu, Xinming,Zheng, Weiying. An Adaptive Perfectly Matched Layer Method for Multiple Cavity Scattering Problems[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2016,19(2):534-558.
APA	Wu, Xinming,&Zheng, Weiying.(2016).An Adaptive Perfectly Matched Layer Method for Multiple Cavity Scattering Problems.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,19(2),534-558.
MLA	Wu, Xinming,et al."An Adaptive Perfectly Matched Layer Method for Multiple Cavity Scattering Problems".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 19.2(2016):534-558.