A weak Galerkin-mixed finite element method for the Stokes-Darcy problem
Numerical Analysis
2021-03-02 v1 Numerical Analysis
Abstract
In this paper, we propose a new numerical scheme for the coupled Stokes-Darcy model with Beavers-Joseph-Saffman interface condition. We use the weak Galerkin method to discretize the Stokes equation and the mixed finite element method to the Darcy equation. A discrete inf-sup condition is proved and optimal error estimates are also derived. Numerical experiments validate the theoretical analysis.
Cite
@article{arxiv.2103.00411,
title = {A weak Galerkin-mixed finite element method for the Stokes-Darcy problem},
author = {Hui Peng and Qilong Zhai and Ran Zhang and Shangyou Zhang},
journal= {arXiv preprint arXiv:2103.00411},
year = {2021}
}
Comments
28 page, 9 tables, 5 figures