TY - JOUR
T1 - Weak Galerkin and Continuous Galerkin Coupled Finite Element Methods for the Stokes-Darcy Interface Problem
AU - Peng , Hui
AU - Zhai , Qilong
AU - Zhang , Ran
AU - Zhang , Shangyou
JO - Communications in Computational Physics
VL - 3
SP - 1147
EP - 1175
PY - 2020
DA - 2020/07
SN - 28
DO - http://doi.org/10.4208/cicp.OA-2019-0122
UR - https://global-sci.org/intro/article_detail/cicp/17689.html
KW - Finite element methods, weak Galerkin finite element methods, weak gradient,
Stokes equations, Darcy's equation.
AB - <p style="text-align: justify;">We consider a model of coupled free and porous media flow governed by
Stokes equation and Darcy&#39;s law with the Beavers-Joseph-Saffman interface condition.
In this paper, we propose a new numerical approach for the Stokes-Darcy system. The
approach employs the classical finite element method for the Darcy region and the
weak Galerkin finite element method for the Stokes region. We construct corresponding discrete scheme and prove its well-posedness. The estimates for the corresponding numerical approximation are derived. Finally, we present some numerical experiments to validate the efficiency of the approach for solving this problem.</p>