A Posteriori Error Estimates for A Modified Weak Galerkin Finite Element Method Solving Linear Elasticity Problems
Numerical Analysis
2023-02-21 v1 Numerical Analysis
Abstract
In this paper, a residual-type a posteriori error estimator is proposed and analyzed for a modified weak Galerkin finite element method solving linear elasticity problems. The estimator is proven to be both reliable and efficient because it provides upper and lower bounds on the actual error in a discrete energy norm. Numerical experiments are given to illustrate the effectiveness of the this error estimator.
Cite
@article{arxiv.2302.09570,
title = {A Posteriori Error Estimates for A Modified Weak Galerkin Finite Element Method Solving Linear Elasticity Problems},
author = {Liu Chunmei and Zhong Liuqiang and Xie Yingying Xie and Zhou Liping},
journal= {arXiv preprint arXiv:2302.09570},
year = {2023}
}
Comments
17 pages, 8 figures