A stabilizer free weak Galerkin finite element method for parabolic equation

被引：37

作者：

Al-Taweel, Ahmed ^{[1
,2
]}

Hussain, Saqib ^{[3
]}

Wang, Xiaoshen ^{[1
]}

机构：

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

[2] Univ Al Qadisiyah, Dept Math, Al Diwaniyah, Iraq

[3] Texas A&M Int Univ, Dept Math & Phys, Laredo, TX 78041 USA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2021年 / 392卷

关键词：

Stabilizer free; Weak Galerkin finite element methods; Weak gradient; Parabolic problem; Error estimates; TIME;

D O I：

10.1016/j.cam.2020.113373

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, a stabilizer free weak Galerkin (SFWG) finite element method for a parabolic partial differential equation is proposed. The goal of using the SFWG method is to make the numerical implementation easier and more efficient. The optimal rate of convergence is derived in both H-1 and L-2 norms. Numerical experiments are performed to verify the theoretical results. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：12

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