Weak Galerkin finite element methods for a fourth order parabolic equation

被引：16

作者：

Chai, Shimin ^{[1
]}

Zou, Yongkui ^{[1
]}

Zhou, Chenguang ^{[1
]}

Zhao, Wenju ^{[2
]}

机构：

[1] Jilin Univ, Sch Math, Jilin, Jilin, Peoples R China

[2] Southern Univ Sci & Technol, Dept Math, Shenzhen, Peoples R China

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2019年 / 35卷 / 05期

基金：

中国国家自然科学基金;

关键词：

a priori error estimate; fourth order parabolic equation; weak Galerkin finite element method; DISCONTINUOUS GALERKIN; APPROXIMATIONS;

D O I：

10.1002/num.22373

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to a newly developed weak Galerkin finite element method with the stabilization term for a linear fourth order parabolic equation, where weakly defined Laplacian operator over discontinuous functions is introduced. Priori estimates are developed and analyzed in L-2 and an H-2 type norm for both semi-discrete and fully discrete schemes. And finally, numerical examples are provided to confirm the theoretical results.

引用

页码：1745 / 1755

页数：11

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