A NEW HYBRIDIZED MIXED WEAK GALERKIN METHOD FOR SECOND-ORDER ELLIPTIC PROBLEMS

被引：4

作者：

Zaghdani, Abdelhamid ^{[1
,2
]}

Sayari, Sayed ^{[3
]}

El Hajji, Miled ^{[4
,5
]}

机构：

[1] Univ Tunis, Dept Math, Blvd 9 Avril 1939 Tunis,Taha Hussein Ave, Tunis, Tunisia

[2] Northern Border Univ, Fac Arts & Sci, POB 840, Rafha, Saudi Arabia

[3] Carthage Univ, Isteub, 2 Rue Artisanat Charguia 2, Tunis 2035, Tunisia

[4] Univ Jeddah, Fac Sci, Dept Math, Jeddah, Saudi Arabia

[5] Tunis El Manar Univ, ENIT LAMSIN, BP 37, Tunis 1002, Tunisia

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2022年 / 40卷 / 04期

关键词：

Weak Galerkin; Weak gradient; Hybridized mixed finite element method; Second order elliptic problems; FINITE-ELEMENT-METHOD; DISCONTINUOUS GALERKIN;

D O I：

10.4208/jcm.2011-m2019-0142

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：501 / 518

页数：18

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