多尺度间断有限体积元法求解多尺度椭圆问题

• 作者: 宋飞 和晓晓 薛凯文
• 来源期刊: 高等学校计算数学学报
• 年，卷（期）: 2020,（4）
• 页码范围: 352-371
• 页数: 20页
• 分类号: O241
• 语种: 中文

摘要

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.