A modified weak Galerkin finite element method for parabolic equations on anisotropic meshes

被引：0
|
作者：
Li, Wenjuan [1 ]
Gao, Fuzheng [1 ]
Cui, Jintao [2 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
[2] Jinan Univ, Dept Math, Guangzhou 510632, Guangdong, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2023年 / 146卷
基金：
中国国家自然科学基金;
关键词：
Parabolic equation; Anisotropic meshes; Modified weak Galerkin method; Error estimates;
D O I：
10.1016/j.aml.2023.108806
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a modified weak Galerkin finite element method (MWG-FEM) on anisotropic triangular meshes for a class of parabolic equations. Different from conventional weak Galerkin methods, the MWG-FEM replaces the boundary functions by the average of interior functions, which possesses flexibility in the approximation functions and mesh generation. Moreover, MWG-FEM is compatible with anisotropic meshes and suitable for solving problems with anisotropic property. By using the anisotropic interpolation and projection operators, the optimal order error estimate in L2 norm is derived. Numerical experiments are performed to demonstrate the stability and efficiency of the method. & COPY; 2023 Elsevier Ltd. All rights reserved.
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