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

doi:10.1007/s10915-017-0382-2

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	An Adaptive Finite Element Method for the Wave Scattering with Transparent Boundary Condition
	Jiang, Xue 1; Li, Peijun 2; Lv, Junliang 3; Zheng, Weiying4
刊名	JOURNAL OF SCIENTIFIC COMPUTING
	2017-09-01
卷号	72 期号:3 页码:936-956
关键词	Acoustic scattering problem Adaptive finite element method Transparent boundary condition A posteriori error estimate
ISSN号	0885-7474
DOI	10.1007/s10915-017-0382-2
英文摘要	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.
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
语种	英语
出版者	SPRINGER/PLENUM PUBLISHERS
WOS记录号	WOS:000408109600002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/26513]
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.