多尺度间断有限体积元法求解多尺度椭圆问题（英文）
发布时间：2021-10-16 02:26
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.
【文章来源】：高等学校计算数学学报. 2020,42(04)北大核心CSCD
【文章页数】：20 页
【文章目录】：
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
本文编号：3438970
【文章来源】：高等学校计算数学学报. 2020,42(04)北大核心CSCD
【文章页数】：20 页
【文章目录】：
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
本文编号：3438970
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