TY - JOUR
T1 - A New Hybridized Mixed Weak Galerkin Method for Second-Order Elliptic Problems
AU - Zaghdani , Abdelhamid
AU - Sayari , Sayed
AU - Hajji , Miled EL
JO - Journal of Computational Mathematics
VL - 4
SP - 499
EP - 516
PY - 2022
DA - 2022/04
SN - 40
DO - http://doi.org/10.4208/jcm.2011-m2019-0142
UR - https://global-sci.org/intro/article_detail/jcm/20498.html
KW - Weak Galerkin, Weak gradient, Hybridized mixed finite element method, Second order elliptic problems.
AB - <p style="text-align: justify;">In this paper, a new hybridized mixed formulation of weak Galerkin method is studied for a second order elliptic problem. This method is designed by approximate some operators with discontinuous piecewise polynomials in a shape regular finite element partition. Some discrete inequalities are presented on discontinuous spaces and optimal order error estimations are established. Some numerical results are reported to show super convergence and confirm the theory of the mixed weak Galerkin method.</p>