Multiscale asymptotic method for heat transfer equations in lattice-type structures

	Multiscale asymptotic method for heat transfer equations in lattice-type structures
	Zhai, Fang-Man; Cao, Li-Qun
	2009
发表期刊	INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
ISSN	1705-5105
卷号	6 期号:2 页码:232-255
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.
关键词	homogenization multiscale asymptotic expansion parabolic equation lattice-type structure multiscale finite element method
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000264008200004
出版者	ISCI-INST SCIENTIFIC COMPUTING & INFORMATION
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7078
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.