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MULTISCALE ASYMPTOTIC METHOD FOR MAXWELL'S EQUATIONS IN COMPOSITE MATERIALS

文献类型：期刊论文

作者Cao, Liqun1; Zhang, Ya; Allegretto, Walter2; Lin, Yanping2,3
刊名SIAM JOURNAL ON NUMERICAL ANALYSIS
出版日期2010
卷号47期号:6页码:4257-4289
关键词Maxwell's equations homogenization multiscale asymptotic expansion composite materials edge element
ISSN号0036-1429
DOI10.1137/080741276
英文摘要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.
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
语种英语
WOS记录号WOS:000277836100011
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/9360]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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