Year: 2022
Author: Abdelhamid Zaghdani, Sayed Sayari, Miled EL Hajji
Journal of Computational Mathematics, Vol. 40 (2022), Iss. 4 : pp. 499–516
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.2011-m2019-0142
Journal of Computational Mathematics, Vol. 40 (2022), Iss. 4 : pp. 499–516
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Weak Galerkin Weak gradient Hybridized mixed finite element method Second order elliptic problems.