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 A mixed multiscale finite element method for elliptic problems with oscillating coefficients Chen, ZM; Hou, TY 2003 Source Publication MATHEMATICS OF COMPUTATION ISSN 0025-5718 Volume 72Issue:242Pages:541-576 Abstract The recently introduced multiscale finite element method for solving elliptic equations with oscillating coefficients is designed to capture the large-scale structure of the solutions without resolving all the fine-scale structures. Motivated by the numerical simulation of flow transport in highly heterogeneous porous media, we propose a mixed multiscale finite element method with an over-sampling technique for solving second order elliptic equations with rapidly oscillating coefficients. The multiscale finite element bases are constructed by locally solving Neumann boundary value problems. We provide a detailed convergence analysis of the method under the assumption that the oscillating coefficients are locally periodic. While such a simplifying assumption is not required by our method, it allows us to use homogenization theory to obtain the asymptotic structure of the solutions. Numerical experiments are carried out for flow transport in a porous medium with a random log-normal relative permeability to demonstrate the efficiency and accuracy of the proposed method. Language 英语 WOS Research Area Mathematics WOS Subject Mathematics, Applied WOS ID WOS:000180911800002 Publisher AMER MATHEMATICAL SOC Citation statistics Cited Times:209[WOS]   [WOS Record]     [Related Records in WOS] Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/18320 Collection 中国科学院数学与系统科学研究院 Affiliation 1.Chinese Acad Sci, Inst Computat Math, LSEC, Beijing 100080, Peoples R China2.CALTECH, Pasadena, CA 91125 USA Recommended CitationGB/T 7714 Chen, ZM,Hou, TY. A mixed multiscale finite element method for elliptic problems with oscillating coefficients[J]. MATHEMATICS OF COMPUTATION,2003,72(242):541-576. APA Chen, ZM,&Hou, TY.(2003).A mixed multiscale finite element method for elliptic problems with oscillating coefficients.MATHEMATICS OF COMPUTATION,72(242),541-576. MLA Chen, ZM,et al."A mixed multiscale finite element method for elliptic problems with oscillating coefficients".MATHEMATICS OF COMPUTATION 72.242(2003):541-576.
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