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An Adaptive Finite Element Method for the Wave Scattering with Transparent Boundary Condition
Jiang, Xue1; Li, Peijun2; Lv, Junliang3; Zheng, Weiying4
2017-09-01
Source PublicationJOURNAL OF SCIENTIFIC COMPUTING
ISSN0885-7474
Volume72Issue:3Pages:936-956
AbstractConsider 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.
KeywordAcoustic scattering problem Adaptive finite element method Transparent boundary condition A posteriori error estimate
DOI10.1007/s10915-017-0382-2
Language英语
Funding ProjectChina 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 Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000408109600002
PublisherSPRINGER/PLENUM PUBLISHERS
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Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/26514
Collection计算数学与科学工程计算研究所
Affiliation1.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
Recommended Citation
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.
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