Residual type a posteriori error estimates for elliptic obstacle problems
type: Item
instance of: scholarly article
title: Residual type a posteriori error estimates for elliptic obstacle problems
zbMATH Open document ID: 0943.65075
author: Zhiming Chen
author: Ricardo H. Nochetto
published in: Numerische Mathematik
publication date: 2000-09-10T00:00:00Z
review text: First residual-type a posteriori error estimators for piecewise linear finite element approximations to the simplest elliptic obstacle problem \[ u\in K: (\nabla u,\nabla(v- u))\geq (f,v- u)\;\forall v\in K \] are derived. Both upper and lower bounds are proved and their optimality is explored with several examples. Sharp a priori bounds for the a posteriori estimators are given. No numerical tests are presented.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 49M15
zbMATH DE Number: 1423200
zbMATH Keywords: error estimates
zbMATH Keywords: finite element
zbMATH Keywords: elliptic obstacle problem
reviewed by: Hans Benker
MaRDI profile type: Publication
full work available at URL: s002110050009
OpenAlex ID: W1992893649
DOI: 10.1007/S002110050009
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description: scientific article; zbMATH DE number 1423200