Multiscale asymptotic method for heat transfer equations in lattice-type structures
文献类型：期刊论文
| 作者 | Zhai, Fang-Man; Cao, Li-Qun
|
| 刊名 | INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
 |
| 出版日期 | 2009 |
| 卷号 | 6期号:2页码:232-255 |
| 关键词 | homogenization multiscale asymptotic expansion parabolic equation lattice-type structure multiscale finite element method |
| ISSN号 | 1705-5105 |
| 英文摘要 | In this paper, we discuss the initial-boundary value problem for the heat transfer equation in lattice-type structures that arises from the aerospace industry and the structural engineering. The main results obtained in this pap er are the convergence theorems by using the homogenization method and the multiscale asymptotic method (see Theorems 2.1 and 2.2). Some numerical examples are given for three types of lattice structures. These numerical results suggest that the first-order multiscale method should be a better choice compared with the homogenization method and the second-order multiscale method for solving the heat transfer equations in lattice-type structures. |
| 资助项目 | National Natural Science Foundation of China[90405016] ; Special Funds for Major State Basic Research Projects[2006CB605102] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000264008200004 |
| 出版者 | ISCI-INST SCIENTIFIC COMPUTING & INFORMATION |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7077]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Zhai, Fang-Man |
| 作者单位 | Chinese Acad Sci, Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhai, Fang-Man,Cao, Li-Qun. Multiscale asymptotic method for heat transfer equations in lattice-type structures[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2009,6(2):232-255. |
| APA | Zhai, Fang-Man,&Cao, Li-Qun.(2009).Multiscale asymptotic method for heat transfer equations in lattice-type structures.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,6(2),232-255. |
| MLA | Zhai, Fang-Man,et al."Multiscale asymptotic method for heat transfer equations in lattice-type structures".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 6.2(2009):232-255. |
入库方式： OAI收割
来源：数学与系统科学研究院
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