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
收藏
页码：1745 / 1755
页数：11
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