In this paper,we propose and analyze a multiscale discontinuous finite volume element method for the multiscale elliptic problems.The main idea of this method is to use the discontinuous Galerkin（DG） formulation and finite volume element method with multiscale basis functions,allowing us to capture multiscale features in the solution.We give an analysis of the proposed method for periodic case.Numerical results are reported to confirm our method. 

【文章來(lái)源】：高等學(xué)校計(jì)算數(shù)學(xué)學(xué)報(bào). 2020,42(04)北大核心CSCD

【文章頁(yè)數(shù)】：20 頁(yè)

【文章目錄】：
1 Introduction
2 Model Problem and DG formulation
    2.1 Model Problem
    2.2 DG formulation
3 Multiscale Discontinuous Finite Volume Element Method
    3.1Oversampling multiscale approximation space
    3.2 Formulation of the MsDFVEM
4 The homogenization result
5 Error estimate for the MsDFVEM
6 Numerical tests
7 Conclusion



本文編號(hào)：3438970