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Volume 40, Issue 4
A New Hybridized Mixed Weak Galerkin Method for Second-Order Elliptic Problems

Abdelhamid Zaghdani, Sayed Sayari & Miled EL Hajji

DOI: 10.4208/jcm.2011-m2019-0142

J. Comp. Math., 40 (2022), pp. 499-516.

Published online: 2022-04

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  • 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.

  • Keywords

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

  • AMS Subject Headings

65N30, 65N15, 35J20, 76S05, 35J46

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

hamido20042002@yahoo.fr (Abdelhamid Zaghdani)

Sayari.sayed@gmail.com (Sayed Sayari)

miled.elhajji@enit.rnu.tn (Miled EL Hajji)

  • BibTex
  • RIS
  • TXT
@Article{JCM-40-499, author = {Zaghdani , AbdelhamidSayari , Sayed and Hajji , Miled EL}, title = {A New Hybridized Mixed Weak Galerkin Method for Second-Order Elliptic Problems}, journal = {Journal of Computational Mathematics}, year = {2022}, volume = {40}, number = {4}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.2011-m2019-0142}, url = {http://global-sci.org/intro/article_detail/jcm/20498.html} }
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 -

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.

Zaghdani , AbdelhamidSayari , Sayed and Hajji , Miled EL. (2022). A New Hybridized Mixed Weak Galerkin Method for Second-Order Elliptic Problems. Journal of Computational Mathematics. 40 (4). 499-516. doi:10.4208/jcm.2011-m2019-0142
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