Spectral analysis and numerical simulation for second order elliptic operator with highly oscillating coefficients in perforated domains with a periodic structure期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Authors:	Cao?Liqun author-information" > author-information__contact u-icon-before" > mailto:clq@lsec.cc.ac.cn" title=" clq@lsec.cc.ac.cn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Cui?Junzhi,Zhu?Dechao,Luo?Jianlan

Affiliation:	1. Institute of Computational Mathematics and Science-Engineering Computing, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China 2. Center of Solid Research, Beijing University of Aeronautics and Astronautics, Beijing 100083, China 3. Department of Applied Physics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

Abstract:	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 ε. 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

Keywords:	spectral analysis multiscale asymptotic expansion second order elliptic operator rapidly oscillating coefficient perforated domain
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