KMS Of Academy of mathematics and systems sciences, CAS
| A multiscale approach and a hybrid FE-BE algorithm for heterogeneous scattering of Maxwell's equations | |
Zhang, Yongwei1; Cao, Liqun1,2,3 ; Feng, Yangde4; Wang, Wu4
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| 2017-08-01 | |
| Source Publication | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
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| ISSN | 0377-0427 |
| Volume | 319Pages:460-479 |
| Abstract | 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. |
| Keyword | The electromagnetic scattering problem Maxwell's equations Homogenization Multiscale asymptotic expansion A heterogeneous material |
| DOI | 10.1016/j.cam.2017.01.017 |
| Language | 英语 |
| Funding Project | 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 Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000397362900031 |
| Publisher | ELSEVIER SCIENCE BV |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/25176 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Cao, Liqun |
| Affiliation | 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 |
| Recommended Citation 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. |
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