About: Uniformly stable mixed hp-finite elements on multilevel adaptive grids with hanging nodes

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Attributs	Valeurs
type	work Article
Is Part Of	http://hub.abes.fr/edp/periodical/m2an/2008/volume_42/issue_3/w
Subject	inf-sup condition mixed hp-FEM quadrilateral and hexahedral finite elements Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods Spectral, collocation and related methods Stokes and related (Oseen, etc.) flows multilevel adaptive grids Stokes problem hanging nodes.
Title	Uniformly stable mixed hp-finite elements on multilevel adaptive grids with hanging nodes
Date	2008-01-01(xsd:dateTime)
has manifestation of work	http://hub.abes.fr/edp/periodical/m2an/2008/volume_42/issue_3/m2an0705/m/print http://hub.abes.fr/edp/periodical/m2an/2008/volume_42/issue_3/m2an0705/m/web
related by	http://hub.abes.fr/edp/periodical/m2an/2008/volume_42/issue_3/m2an0705/authorship/1
Author	Schieweck, Friedhelm
Abstract	We consider a family of quadrilateral or hexahedral mixed hp-finite elements for an incompressible flow problem with Qr-elements for the velocity and discontinuous $P_{r-1}$-elements for the pressure where the order r can vary from element to element between 2 and an arbitrary bound. For multilevel adaptive grids with hanging nodes and a sufficiently small mesh size, we prove the inf-sup condition uniformly with respect to the mesh size and the polynomial degree.
article type	research-article
publisher identifier	m2an0705
Date Copyrighted	2008-01-01(xsd:dateTime)
Rights	© EDP Sciences, SMAI, 2008
Rights Holder	EDP Sciences, SMAI
is part of this journal	RAIRO. Analyse numérique
is primary topic of	http://hub.abes.fr/edp/periodical/m2an/2008/volume_42/issue_3/m2an0705/w/record

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