An Adaptive Perfectly Matched Layer Method for Multiple Cavity Scattering Problems
文献类型：期刊论文
| 作者 | Wu, Xinming1; Zheng, Weiying2
|
| 刊名 | COMMUNICATIONS IN COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2016-02-01 |
| 卷号 | 19期号:2页码:534-558 |
| 关键词 | Uniaxial perfectly matched layer multiple cavity scattering adaptive finite element a posteriori error estimate |
| ISSN号 | 1815-2406 |
| DOI | 10.4208/cicp.040215.280815a |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000369252700011 |
| 出版者 | GLOBAL SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/21959]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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