On the asymptotic exactness of error estimators based on the equilibrated residual method for quadrilateral finite elements
type: Item
instance of: scholarly article
title: On the asymptotic exactness of error estimators based on the equilibrated residual method for quadrilateral finite elements
zbMATH Open document ID: 1256.65098
author: Li-Jun Yi
published in: Applied Numerical Mathematics
publication date: 2012-11-12T00:00:00Z
review text: The paper analyzes the equilibrated residual method for a posteriori error estimation of finite element approximation on quadrilateral elements. The author proves that the estimator obtained by solving the element residual problems over an infinite dimensional space \(H^{1}(K)/ \mathbb{R}\) is asymptotically exact in the energy norm for the regular solutions provided that the degree of approximation is of odd order and the elements are rectangles.
reviewed by: Răzvan Răducanu
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 6104883
zbMATH Keywords: finite element method
zbMATH Keywords: a posteriori error estimation
zbMATH Keywords: equilibrated residual method
zbMATH Keywords: asymptotic exactness
zbMATH Keywords: quadrilateral elements
MaRDI profile type: Publication
full work available at URL: j.apnum.2012.07.007
OpenAlex ID: W2026967100
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DOI: 10.1016/J.APNUM.2012.07.007
description: scientific article; zbMATH DE number 6104883