A stabilizer free weak Galerkin finite element method with supercloseness of order two

被引：22

作者：

Al-Taweel, Ahmed ^{[1
]}

Wang, Xiaoshen ^{[2
]}

Ye, Xiu ^{[2
]}

Zhang, Shangyou ^{[3
]}

机构：

[1] Univ Arkansas, Dept Math & Stat, Little Rock, AR 72204 USA

[2] Univ Arkansas, Dept Math, Little Rock, AR 72204 USA

[3] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2021年 / 37卷 / 02期

基金：

美国国家科学基金会;

关键词：

finite element methods; second-order elliptic problems; stabilizer free; supercloseness; weak Galerkin; weak gradient;

D O I：

10.1002/num.22564

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The weak Galerkin (WG) finite element method is an effective and flexible general numerical technique for solving partial differential equations. A simple WG finite element method is introduced for second-order elliptic problems. First we have proved that stabilizers are no longer needed for this WG element. Then we have proved the supercloseness of order two for the WG finite element solution. The numerical results confirm the theory.

引用

页码：1012 / 1029

页数：18

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