A LOCAL CONSERVATIVE MULTISCALE METHOD FOR ELLIPTIC PROBLEMS WITH OSCILLATING COEFFICIENTS

被引：2

作者：

Jeon, Youngmok ^{[1
]}

Park, Eun-Jae ^{[2
]}

机构：

[1] Ajou Univ, Dept Math, Suwon 16499, South Korea

[2] Yonsei Univ, Dept Computat Sci & Engn, Seoul 03722, South Korea

来源：

JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS | 2020年 / 24卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

cell boundary element; homogenization; variational multiscale; multiscale finite element; hybridization; mass conservation; FINITE-ELEMENT-METHOD; DISCONTINUOUS GALERKIN METHOD;

D O I：

10.12941/jksiam.2020.24.215

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new multiscale finite element method for elliptic problems with highly oscillating coefficients are introduced. A hybridization yields a locally flux-conserving numerical scheme for multiscale problems. Our approach naturally induces a homogenized equation which facilitates error analysis. Complete convergence analysis is given and numerical examples are presented to validate our analysis.

引用

页码：215 / 227

页数：13

共 31 条

[1] Finite difference heterogeneous multi-scale method for homogenization problems [J].