A Posteriori Error Estimates for A Modified Weak Galerkin Finite Element Method Solving Linear Elasticity Problems
Liu Chunmei, Zhong Liuqiang, Xie Yingying Xie, Zhou Liping
TL;DR
This paper introduces a residual-type a posteriori error estimator for a modified weak Galerkin finite element method addressing linear elasticity problems, demonstrating its reliability, efficiency, and practical effectiveness through numerical tests.
Contribution
It presents a new a posteriori error estimator for a modified weak Galerkin method, with proven reliability and efficiency for linear elasticity problems.
Findings
Estimator provides reliable upper bounds on error.
Estimator offers efficient lower bounds on error.
Numerical experiments confirm estimator effectiveness.
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.
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Taxonomy
TopicsAdvanced Numerical Methods in Computational Mathematics · Numerical methods in engineering · Model Reduction and Neural Networks