Spectral analysis and numerical simulation for second order elliptic operator with highly oscillating coefficients in perforated domains with a periodic structure

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	Spectral analysis and numerical simulation for second order elliptic operator with highly oscillating coefficients in perforated domains with a periodic structure
	Cao, LQ ; Cui, JZ ; Zhu, DC ; Luo, JL
	2002-12-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN	1006-9283
卷号	45 期号:12 页码:1588-1602
摘要	This paper discusses the spectral properties and numerical simulation for the second order elliptic operators with rapidly oscillating coefficients in the domains which may contain small cavities distributed periodically with period E. A multiscale asymptotic analysis formula for this problem is obtained by constructing properly the boundary layer. Finally, numerical results are given, which provide a strong support for the analytical estimates.
关键词	spectral analysis multiscale asymptotic expansion second order elliptic operator rapidly oscillating coefficient perforated domain
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000179596600011
出版者	SCIENCE CHINA PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17328
专题	中国科学院数学与系统科学研究院
通讯作者	Cao, LQ
作者单位	1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Beijing Univ Aeronaut & Astronaut, Ctr Solid Res, Beijing 100083, Peoples R China 3.Beijing Univ Aeronaut & Astronaut, Dept Appl Phys, Beijing 100083, Peoples R China
推荐引用方式 GB/T 7714	Cao, LQ,Cui, JZ,Zhu, DC,et al. Spectral analysis and numerical simulation for second order elliptic operator with highly oscillating coefficients in perforated domains with a periodic structure[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,2002,45(12):1588-1602.
APA	Cao, LQ,Cui, JZ,Zhu, DC,&Luo, JL.(2002).Spectral analysis and numerical simulation for second order elliptic operator with highly oscillating coefficients in perforated domains with a periodic structure.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,45(12),1588-1602.
MLA	Cao, LQ,et al."Spectral analysis and numerical simulation for second order elliptic operator with highly oscillating coefficients in perforated domains with a periodic structure".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 45.12(2002):1588-1602.