A multiscale rectangular element method for elliptic problems with entirely small periodic coefficients

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	A multiscale rectangular element method for elliptic problems with entirely small periodic coefficients
	Chen, JR ; Cui, JZ
	2002-07-25
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	130 期号:1 页码:39-52
摘要	The purpose of this paper is to solve elliptic problems with entirely small periodic configuration by so-called multiscale finite element method. A special multiscale rectangular element space is constructed whose base functions consist of a standard bilinear conforming finite element base functions defined on a relatively coarse partition compared with small configuration parameter plus special bubble-like functions which include the small configuration information. Meanwhile the error of the multiscale finite element solution is analysed and the optimal error estimate is obtained. Finally, a multilevel additive Schwarz preconditioning method is' presented for solving the discrete problem. (C) 2002 Elsevier Science Inc. All rights reserved.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000176476800005
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17182
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, JR
作者单位	1.Nanjing Normal Univ, Dept Math, Nanjing 210097, Peoples R China 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, JR,Cui, JZ. A multiscale rectangular element method for elliptic problems with entirely small periodic coefficients[J]. APPLIED MATHEMATICS AND COMPUTATION,2002,130(1):39-52.
APA	Chen, JR,&Cui, JZ.(2002).A multiscale rectangular element method for elliptic problems with entirely small periodic coefficients.APPLIED MATHEMATICS AND COMPUTATION,130(1),39-52.
MLA	Chen, JR,et al."A multiscale rectangular element method for elliptic problems with entirely small periodic coefficients".APPLIED MATHEMATICS AND COMPUTATION 130.1(2002):39-52.