About: Interpolation of non-smooth functions on anisotropic finite element meshes

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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	quasi-interpolation edge singularity Interpolation Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods Mesh generation and refinement interpolation error estimate reaction diffusion problem. Anisotropic finite elements non-smooth functions
Title	Interpolation of non-smooth functions on anisotropic finite element meshes
Date	1999-01-01(xsd:dateTime)
has manifestation of work	http://hub.abes.fr/edp/periodical/m2an/1999/volume_33/issue_6/m2an778/m/web http://hub.abes.fr/edp/periodical/m2an/1999/volume_33/issue_6/m2an778/m/print
related by	http://hub.abes.fr/edp/periodical/m2an/1999/volume_33/issue_6/m2an778/authorship/1
Author	Apel, Thomas
Abstract	In this paper, several modifications of the quasi-interpolation operator of Scott and Zhang [30] are discussed. The modified operators are defined for non-smooth functions and are suited for application on anisotropic meshes. The anisotropy of the elements is reflected in the local stability and approximation error estimates. As an application, an example is considered where anisotropic finite element meshes are appropriate, namely the Poisson problem in domains with edges.
article type	research-article
publisher identifier	m2an778
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/m2an778/w/record

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