Spectral analysis and numerical simulation for second order elliptic operator with highly oscillating coefficients in perforated domains with a periodic structure
文献类型：期刊论文
| 作者 | Cao, LQ; Cui, JZ; Zhu, DC; Luo, JL |
| 刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
 |
| 出版日期 | 2002-12-01 |
| 卷号 | 45期号:12页码:1588-1602 |
| 关键词 | spectral analysis multiscale asymptotic expansion second order elliptic operator rapidly oscillating coefficient perforated domain |
| ISSN号 | 1006-9283 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000179596600011 |
| 出版者 | SCIENCE CHINA PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17327]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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