A multiscale finite element method for elliptic problems with highly oscillatory coefficients

doi:10.1016/j.apnum.2003.12.002

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	A multiscale finite element method for elliptic problems with highly oscillatory coefficients
	Chen, JR ; Cui, JZ
	2004-07-01
发表期刊	APPLIED NUMERICAL MATHEMATICS
ISSN	0168-9274
卷号	50 期号:1 页码:1-13
摘要	This paper is concerned with a so-called multiscale finite element method for solving elliptic problems with highly oscillatory coefficients. A special multiscale conforming finite element space, whose base functions consist of linear conforming base functions defined on a relatively coarse triangulation plus special bubble-like functions which include the small scale information, is constructed. Meanwhile the error of the multiscale finite element solution is analysed. Furthermore, a two level domain decomposition preconditioning algorithm is presented for solving, the discrete problem. Finally, numerical experiments are given to show the effectiveness of our preconditioning algorithm. (C) 2003 IMACS. Published by Elsevier B.V. All rights reserved.
关键词	multiscale finite element elliptic problems highly oscillatory coefficients domain decomposition preconditioning algorithm
DOI	10.1016/j.apnum.2003.12.002
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000221648600001
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/765
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, Sch Math & Comp Sci, Nanjing 210097, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst 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 finite element method for elliptic problems with highly oscillatory coefficients[J]. APPLIED NUMERICAL MATHEMATICS,2004,50(1):1-13.
APA	Chen, JR,&Cui, JZ.(2004).A multiscale finite element method for elliptic problems with highly oscillatory coefficients.APPLIED NUMERICAL MATHEMATICS,50(1),1-13.
MLA	Chen, JR,et al."A multiscale finite element method for elliptic problems with highly oscillatory coefficients".APPLIED NUMERICAL MATHEMATICS 50.1(2004):1-13.