An Adaptive Finite Element Method for the Wave Scattering with Transparent Boundary Condition
文献类型：期刊论文
| 作者 | Jiang, Xue1; Li, Peijun2; Lv, Junliang3; Zheng, Weiying4
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| 刊名 | JOURNAL OF SCIENTIFIC COMPUTING
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000408109600002 |
| 出版者 | SPRINGER/PLENUM PUBLISHERS |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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