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

文献类型：期刊论文

作者Chen, JR; Cui, JZ
刊名APPLIED NUMERICAL MATHEMATICS
出版日期2004-07-01
卷号50期号:1页码:1-13
关键词multiscale finite element elliptic problems highly oscillatory coefficients domain decomposition preconditioning algorithm
ISSN号0168-9274
DOI10.1016/j.apnum.2003.12.002
英文摘要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.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000221648600001
出版者ELSEVIER SCIENCE BV
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/764]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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