About: Quasi-Interpolation and A Posteriori Error Analysis in Finite Element Methods

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Attributs	Valeurs
type	work Article
Is Part Of	http://hub.abes.fr/edp/periodical/m2an/1999/volume_33/issue_6/w
Subject	A posteriori error estimates mixed finite element method Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods Integral equations http://msc2010.org/resources/MSC/2010/73C50 adaptive algorithm nonconforming finite element method. reliability
Title	Quasi-Interpolation and A Posteriori Error Analysis in Finite Element Methods
Date	1999-01-01(xsd:dateTime)
has manifestation of work	http://hub.abes.fr/edp/periodical/m2an/1999/volume_33/issue_6/m2an906/m/print http://hub.abes.fr/edp/periodical/m2an/1999/volume_33/issue_6/m2an906/m/web
related by	http://hub.abes.fr/edp/periodical/m2an/1999/volume_33/issue_6/m2an906/authorship/1
Author	Carstensen, Carsten
Abstract	One of the main tools in the proof of residual-based a posteriori error estimates is a quasi-interpolation operator due to Clément. We modify this operator in the setting of a partition of unity with the effect that the approximation error has a local average zero. This results in a new residual-based a posteriori error estimate with a volume contribution which is smaller than in the standard estimate. For an elliptic model problem, we discuss applications to conforming, nonconforming and mixed finite element methods.
article type	research-article
publisher identifier	m2an906
Date Copyrighted	1999-01-01(xsd:dateTime)
Rights	© EDP Sciences, SMAI, 1999
Rights Holder	EDP Sciences, SMAI
is part of this journal	RAIRO. Analyse numérique
is primary topic of	http://hub.abes.fr/edp/periodical/m2an/1999/volume_33/issue_6/m2an906/w/record

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