A posteriori error estimate of a weak Galerkin finite element method for solving linear elasticity problems

被引：0

作者：

Liu, Chunmei ^{[1
]}

Xie, Yingying ^{[2
]}

Zhong, Liuqiang ^{[3
]}

Zhou, Liping ^{[1
]}

机构：

[1] Hunan Univ Sci & Engn, Coll Sci, Yongzhou 425199, Peoples R China

[2] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China

[3] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2024年 / 173卷

基金：

中国国家自然科学基金;

关键词：

Linear elasticity problems; A posteriori error estimate; Weak Galerkin finite element methods; OPTIMAL CONVERGENCE RATE; SCHEME;

D O I：

10.1016/j.camwa.2024.07.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a residual-type a posteriori error estimator is proposed and analyzed for a weak Galerkin finite element method for solving linear elasticity problems. The error estimator is proven to be both reliable and efficient, and be used for adaptive refinement. Numerical experiments are presented to illustrate the effectiveness of this error estimator.

引用

页码：47 / 59

页数：13

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