A multiscale approach and a hybrid FE-BE algorithm for heterogeneous scattering of Maxwell's equations

doi:10.1016/j.cam.2017.01.017

	A multiscale approach and a hybrid FE-BE algorithm for heterogeneous scattering of Maxwell's equations
	Zhang, Yongwei 1; Cao, Liqun1,2,3 ; Feng, Yangde 4; Wang, Wu 4
	2017-08-01
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	319 页码:460-479
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.
关键词	The electromagnetic scattering problem Maxwell's equations Homogenization Multiscale asymptotic expansion A heterogeneous material
DOI	10.1016/j.cam.2017.01.017
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000397362900031
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25176
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.