CONVERGENCE OF THE PML SOLUTION FOR ELASTIC WAVE SCATTERING BY BIPERIODIC STRUCTURES
文献类型：期刊论文
| 作者 | Jiang, Xue1; Li, Peijun2; Lv, Junliang3; Zheng, Weiying4,5
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| 刊名 | COMMUNICATIONS IN MATHEMATICAL SCIENCES
 |
| 出版日期 | 2018 |
| 卷号 | 16期号:4页码:987-1016 |
| 关键词 | Elastic wave equation perfectly matched layer biperiodic structures transparent boundary condition |
| ISSN号 | 1539-6746 |
| 英文摘要 | This paper is concerned with the analysis of elastic wave scattering of a time-harmonic plane wave by a biperiodic rigid surface, where the wave propagation is governed by the three-dimensional Navier equation. An exact transparent boundary condition is developed to reduce the scattering problem equivalently into a boundary value problem in a bounded domain. The Perfectly Matched Layer (PML) technique is adopted to truncate the unbounded physical domain into a bounded computational domain. The well-posedness and exponential convergence of the solution are established for the truncated PML problem by developing a PML equivalent transparent boundary condition. The proofs rely on a careful study of the error between the two transparent boundary operators. The work significantly extends the results from one-dimensional periodic structures to two-dimensional biperiodic structures. Numerical experiments are included to demonstrate the competitive behavior of the proposed method. |
| 资助项目 | National Natural Science Foundation of China[11301214] ; National Natural Science Foundation of China[11771057] ; National Natural Science Foundation of China[11401040] ; National Natural Science Foundation of China[11671052] ; NSF[DMS-1151308] ; Science Challenge Project[TZ2016002] ; National Natural Science Fund for Distinguished Young Scholars[11725106] ; China NSF[91430215] ; National Magnetic Confinement Fusion Science Program[2015GB110003] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000448798000004 |
| 出版者 | INT PRESS BOSTON, INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/31649]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Lv, Junliang |
| 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, Inst Computat Math & Sci Engn Comp, NCMIS,LSEC, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Jiang, Xue,Li, Peijun,Lv, Junliang,et al. CONVERGENCE OF THE PML SOLUTION FOR ELASTIC WAVE SCATTERING BY BIPERIODIC STRUCTURES[J]. COMMUNICATIONS IN MATHEMATICAL SCIENCES,2018,16(4):987-1016. |
| APA | Jiang, Xue,Li, Peijun,Lv, Junliang,&Zheng, Weiying.(2018).CONVERGENCE OF THE PML SOLUTION FOR ELASTIC WAVE SCATTERING BY BIPERIODIC STRUCTURES.COMMUNICATIONS IN MATHEMATICAL SCIENCES,16(4),987-1016. |
| MLA | Jiang, Xue,et al."CONVERGENCE OF THE PML SOLUTION FOR ELASTIC WAVE SCATTERING BY BIPERIODIC STRUCTURES".COMMUNICATIONS IN MATHEMATICAL SCIENCES 16.4(2018):987-1016. |
入库方式： OAI收割
来源：数学与系统科学研究院
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