TY - JOUR
T1 - A Hybridized Weak Galerkin Finite Element Method for Incompressible Stokes Equations
AU - Zhang , Qianru
AU - Kuang , Haopeng
AU - Wang , Xiuli
AU - Zhai , Qilong
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 4
SP - 1012
EP - 1038
PY - 2019
DA - 2019/06
SN - 12
DO - http://doi.org/10.4208/nmtma.OA-2018-0021
UR - https://global-sci.org/intro/article_detail/nmtma/13213.html
KW - Hybridized weak Galerkin FEM, discrete weak gradient,
incompressible Stokes equations.
AB - <p style="text-align: justify;">In this paper, a hybridized weak Galerkin (HWG) finite element method is proposed for solving incompressible Stokes equations. The finite element space of the proposed method is constructed simply by piecewise polynomials. The optimal convergence order can be achieved for velocity function both in $L^2$ norm and $H^1$ norm, pressure function in $H^1$ norm. Finally, a Schur complement is employed to reduce the degree of freedom in discrete problem. Numerical examples are presented to demonstrate the effectiveness of the hybridized weak Galerkin finite element method.</p>