A New Hybridized Mixed Weak Galerkin Method for Second-Order Elliptic Problems

Authors

  • Abdelhamid Zaghdani University of Tunis, Boulevard du 9 avril 1939 Tunis, Department of Mathematics, Ensit, Taha Hussein Avenue, Montfleury, Tunis, Tunisia
  • Sayed Sayari Carthage University, Isteub, 2 Rue de l’Artisanat Charguia 2, 2035 Tunis, Tunisia
  • Miled EL Hajji Department of Mathematics, Faculty of Sciences, University of Jeddah, Saudi Arabia

DOI:

https://doi.org/10.4208/jcm.2011-m2019-0142

Keywords:

Weak Galerkin, Weak gradient, Hybridized mixed finite element method, Second order elliptic problems.

Abstract

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.

Downloads

Published

2022-10-06

Issue

Vol. 40 No. 4 (2022)

Section

Articles