A posteriori error estimates for elliptic variational inequalities
type: Item
instance of: scholarly article
title: A posteriori error estimates for elliptic variational inequalities
zbMATH Open document ID: 0857.65071
DOI: 10.1016/0898-1221(96)00030-2
publication date: 1996-10-16T00:00:00Z
review text: A posteriori error estimates play a crucial role in the approximative solution of partial differential equations by adaptive finite element methods. In the paper, the author describes a hierachical error estimate which results from the following two steps: (i) Discretize the defect problem with respect to an enlarged space. (ii) Localize the discrete defect problem by domain decomposition. This method reduces the evaluation amounts to the solution of corresponding scalar local subproblems. Some upper bounds for the effectivity rates and the numerical properties of the method are derived and illustrated by typical examples.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49M15
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 35J85
zbMATH DE Number: 915112
zbMATH Keywords: elliptic variational inequalities
zbMATH Keywords: free boundary problem
zbMATH Keywords: numerical examples
zbMATH Keywords: error estimates
zbMATH Keywords: finite element methods
zbMATH Keywords: domain decomposition
author: Ralf Kornhuber
reviewed by: Jiří Vaníček
describes a project that uses: PLTMG
MaRDI profile type: Publication
full work available at URL: 0898-1221(96)00030-2
OpenAlex ID: W2056587214
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 915112