Maxwell's equations in an unbounded structure
文献类型：期刊论文
| 作者 | Li, Peijun1; Zheng, Gaofeng2; Zheng, Weiying3
|
| 刊名 | MATHEMATICAL METHODS IN THE APPLIED SCIENCES
 |
| 出版日期 | 2017-02-01 |
| 卷号 | 40期号:3页码:573-588 |
| 关键词 | Maxwell's equations generalized Lax-Milgram theorem unbounded rough surface |
| ISSN号 | 0170-4214 |
| DOI | 10.1002/mma.3994 |
| 英文摘要 | This paper is concerned with the mathematical analysis of the electromagnetic wave scattering by an unbounded dielectric medium, which is mounted on a perfectly conducting infinite plane. By introducing a transparent boundary condition on a plane surface confining the medium, the scattering problem is modeled as a boundary value problem of Maxwell's equations. Based on a variational formulation, the problem is shown to have a unique weak solution for a wide class of dielectric permittivity and magnetic permeability by using the generalized Lax-Milgram theorem. Copyright (C) 2016 John Wiley & Sons, Ltd. |
| 资助项目 | NSF[DMS-1151308] ; NSFC[11171126] ; NSFC[11031006] ; NSFC[11171334] ; Program for Changjiang Scholars and Innovative Research Team in University[IRT13066] ; Funds for Creative Research Groups of China[11021101] ; National 863 Project of China[2012AA01A309] ; National Magnetic Confinement Fusion Science Program[2011GB105003] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000396900600006 |
| 出版者 | WILEY |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/24977]  |
| 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.Purdue Univ, Dept Math, W Lafayette, IN 47907 USA 2.Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Peijun,Zheng, Gaofeng,Zheng, Weiying. Maxwell's equations in an unbounded structure[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2017,40(3):573-588. |
| APA | Li, Peijun,Zheng, Gaofeng,&Zheng, Weiying.(2017).Maxwell's equations in an unbounded structure.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,40(3),573-588. |
| MLA | Li, Peijun,et al."Maxwell's equations in an unbounded structure".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 40.3(2017):573-588. |
入库方式： OAI收割
来源：数学与系统科学研究院
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