A multiscale cell boundary element method for elliptic problems

被引：6
|
作者：
Jeon, Youngmok [1 ]
机构：
[1] Ajou Univ, Dept Math, Suwon 443749, South Korea
来源：
APPLIED NUMERICAL MATHEMATICS | 2009年 / 59卷 / 11期
关键词：
Homogenization; MsCBE; MsFEM; Multiscale; Oversampling; FINITE-ELEMENT; HOMOGENIZATION; CONVERGENCE; FLOW;
D O I：
10.1016/j.apnum.2008.12.029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we introduce the multiscale cell boundary element method (MsCBE method). The method is obtained by applying the oversampling technique of the MsFEM by Hou and Wu [T.Y. Hou, X.H. Wu, A multiscale finite element method for elliptic problems ill composite materials and porous media, J. Comput. Phys. 134 (1997) 169-189] to the newly developed numerical method, the cell boundary element(CBE) method by the author and his colleagues. The advantage of the MsCBE method is that it preserves flux exactly on arbitrary subdomain without needing the dual mesh. A complete H-1 convergence analysis and numerical examples confirming our analysis are presented. (C) 2008 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：2801 / 2813
页数：13
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