An Adaptive Finite Element Method for the Wave Scattering with Transparent Boundary Condition

doi:10.1007/s10915-017-0382-2

	An Adaptive Finite Element Method for the Wave Scattering with Transparent Boundary Condition
	Jiang, Xue 1; Li, Peijun 2; Lv, Junliang 3; Zheng, Weiying4
	2017-09-01
发表期刊	JOURNAL OF SCIENTIFIC COMPUTING
ISSN	0885-7474
卷号	72 期号:3 页码:936-956
摘要	Consider the acoustic wave scattering by an impenetrable obstacle in two dimensions. The model is formulated as a boundary value problem for the Helmholtz equation with a transparent boundary condition. Based on a duality argument technique, an a posteriori error estimate is derived for the finite element method with the truncated Dirichlet-to-Neumann boundary operator. The a posteriori error estimate consists of the finite element approximation error and the truncation error of boundary operator which decays exponentially with respect to the truncation parameter. A new adaptive finite element algorithm is proposed for solving the acoustic obstacle scattering problem, where the truncation parameter is determined through the truncation error and the mesh elements for local refinements are marked through the finite element discretization error. Numerical experiments are presented to illustrate the competitive behavior of the proposed adaptive method.
关键词	Acoustic scattering problem Adaptive finite element method Transparent boundary condition A posteriori error estimate
DOI	10.1007/s10915-017-0382-2
语种	英语
资助项目	China NSF[11401040] ; China NSF[11126040] ; China NSF[11301214] ; China NSF[91430215] ; Fundamental Research Funds for the Central Universities[24820152015RC17] ; NSF[DMS-1151308] ; Funds for Creative Research Groups of China[11321061] ; National Magnetic Confinement Fusion Science Program[2015GB110003]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000408109600002
出版者	SPRINGER/PLENUM PUBLISHERS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26514
专题	计算数学与科学工程计算研究所
通讯作者	Li, Peijun
作者单位	1.Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China 2.Purdue Univ, Dept Math, W Lafayette, IN 47907 USA 3.Jilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, LSEC,ICMSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Jiang, Xue,Li, Peijun,Lv, Junliang,et al. An Adaptive Finite Element Method for the Wave Scattering with Transparent Boundary Condition[J]. JOURNAL OF SCIENTIFIC COMPUTING,2017,72(3):936-956.
APA	Jiang, Xue,Li, Peijun,Lv, Junliang,&Zheng, Weiying.(2017).An Adaptive Finite Element Method for the Wave Scattering with Transparent Boundary Condition.JOURNAL OF SCIENTIFIC COMPUTING,72(3),936-956.
MLA	Jiang, Xue,et al."An Adaptive Finite Element Method for the Wave Scattering with Transparent Boundary Condition".JOURNAL OF SCIENTIFIC COMPUTING 72.3(2017):936-956.