MULTISCALE ASYMPTOTIC METHOD FOR MAXWELL'S EQUATIONS IN COMPOSITE MATERIALS

doi:10.1137/080741276

	MULTISCALE ASYMPTOTIC METHOD FOR MAXWELL'S EQUATIONS IN COMPOSITE MATERIALS
	Cao, Liqun1 ; Zhang, Ya ; Allegretto, Walter 2; Lin, Yanping 2,3
	2010
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	47 期号:6 页码:4257-4289
摘要	In this paper we discuss the multiscale analysis of Maxwell's equations in composite materials with a periodic microstructure. The new contributions in this paper are the determination of higher-order correctors and the explicit convergence rate for the approximate solutions (see Theorem 2.3). Consequently, we present the multiscale finite element method and derive the convergence result (see Theorem 4.1). The numerical results demonstrate that higher-order correctors are essential for solving Maxwell's equations in composite materials.
关键词	Maxwell's equations homogenization multiscale asymptotic expansion composite materials edge element
DOI	10.1137/080741276
语种	英语
资助项目	National Natural Science Foundation of China[60971121] ; National Basic Research Program of China[2010CB832702] ; RGF of SAR Hong Kong, China[PolyU 5017/09P] ; NSERC (Canada)
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000277836100011
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9361
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, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China 2.Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada 3.Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Cao, Liqun,Zhang, Ya,Allegretto, Walter,et al. MULTISCALE ASYMPTOTIC METHOD FOR MAXWELL'S EQUATIONS IN COMPOSITE MATERIALS[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2010,47(6):4257-4289.
APA	Cao, Liqun,Zhang, Ya,Allegretto, Walter,&Lin, Yanping.(2010).MULTISCALE ASYMPTOTIC METHOD FOR MAXWELL'S EQUATIONS IN COMPOSITE MATERIALS.SIAM JOURNAL ON NUMERICAL ANALYSIS,47(6),4257-4289.
MLA	Cao, Liqun,et al."MULTISCALE ASYMPTOTIC METHOD FOR MAXWELL'S EQUATIONS IN COMPOSITE MATERIALS".SIAM JOURNAL ON NUMERICAL ANALYSIS 47.6(2010):4257-4289.