A multiscale approach and a hybrid FE-BE algorithm for heterogeneous scattering of Maxwell's equations
文献类型：期刊论文
| 作者 | Zhang, Yongwei1; Cao, Liqun1,2,3 ; Feng, Yangde4; Wang, Wu4
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| 刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 2017-08-01 |
| 卷号 | 319页码:460-479 |
| 关键词 | The electromagnetic scattering problem Maxwell's equations Homogenization Multiscale asymptotic expansion A heterogeneous material |
| ISSN号 | 0377-0427 |
| DOI | 10.1016/j.cam.2017.01.017 |
| 英文摘要 | In this paper we discuss the multiscale approach for the scattering problem of Maxwell's equations in a heterogeneous material with a periodic microstructure. The new contributions in this paper are the determination of the multiscale correctors and the strong convergence in the norm of the space H(curl; Omega) with an explicit rate for the approximate solutions (see Theorem 2.4). Consequently, we present a multiscale hybrid finite element method-boundary element method (FE-BE). The numerical examples are carried out to validate the theoretical results of this paper. (C) 2017 Elsevier B.V. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[11571353] ; National Natural Science Foundation of China[91330202] ; National Natural Science Foundation of China[91430214] ; Funds for Creative Research Group of China[11321061] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000397362900031 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/25175]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Cao, Liqun |
| 作者单位 | 1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.LSEC, Beijing, Peoples R China 3.NCMIS, Beijing, Peoples R China 4.Chinese Acad Sci, Comp Network Informat Ctr, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Yongwei,Cao, Liqun,Feng, Yangde,et al. A multiscale approach and a hybrid FE-BE algorithm for heterogeneous scattering of Maxwell's equations[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2017,319:460-479. |
| APA | Zhang, Yongwei,Cao, Liqun,Feng, Yangde,&Wang, Wu.(2017).A multiscale approach and a hybrid FE-BE algorithm for heterogeneous scattering of Maxwell's equations.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,319,460-479. |
| MLA | Zhang, Yongwei,et al."A multiscale approach and a hybrid FE-BE algorithm for heterogeneous scattering of Maxwell's equations".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 319(2017):460-479. |
入库方式： OAI收割
来源：数学与系统科学研究院
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