A weak Galerkin-mixed finite element method for the Stokes-Darcy problem

被引：0

作者：

Hui Peng ^{[1
]}

Qilong Zhai ^{[1
]}

Ran Zhang ^{[1
]}

Shangyou Zhang ^{[2
]}

机构：

[1] School of Mathematics, Jilin University

[2] Department of Mathematical Sciences, University of Delaware

来源：

Science China(Mathematics) | 2021年 / 64卷 / 10期

关键词：

D O I：

暂无

中图分类号：

O241.82 [偏微分方程的数值解法];

学科分类号：

070102 ;

摘要：

In this paper, we propose a new numerical scheme for the coupled Stokes-Darcy model with the Beavers-Joseph-Saffman interface condition. We use the weak Galerkin method to discretize the Stokes equation and the mixed finite element method to discretize the Darcy equation. A discrete inf-sup condition is proved and the optimal error estimates are also derived. Numerical experiments validate the theoretical analysis.

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页码：2357 / 2380

页数：24

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