About: On the stability of finite-element discretizations of convection-diffusion-reaction equations

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About: On the stability of finite-element discretizations of convection-diffusion-reaction equations Goto Sponge NotDistinct Permalink

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://imajna.oxfordjournals.org/content/31/1/147.full.pdf+html?sid=8b00037f-e8ea-457d-bc4e-615806f95ebb
Description	A priori error estimates for the local projection stabilization applied to convection-diffusion-reaction equations are generally based on the coercivity of the underlying bilinear form with respect to the local projection norm. We show that the bilinear form of the local projection stabilization satisfies an inf-sup condition in a stronger norm which is equivalent to that of the streamline upwind/Petrov-Galerkin method. As a consequence we get some insight in the stabilization mechanism of Galerkin discretizations of higher order. A priori error estimates for the local projection stabilization applied to convection-diffusion-reaction equations are generally based on the coercivity of the underlying bilinear form with respect to the local projection norm. We show that the bilinear form of the local projection stabilization satisfies an inf-sup condition in a stronger norm which is equivalent to that of the streamline upwind/Petrov-Galerkin method. As a consequence we get some insight in the stabilization mechanism of Galerkin discretizations of higher order. (en)
Title	On the stability of finite-element discretizations of convection-diffusion-reaction equations On the stability of finite-element discretizations of convection-diffusion-reaction equations (en)
skos:prefLabel	On the stability of finite-element discretizations of convection-diffusion-reaction equations On the stability of finite-element discretizations of convection-diffusion-reaction equations (en)
skos:notation	RIV/00216208:11320/11:10104795!RIV12-GA0-11320___
http://linked.open...avai/predkladatel	Matematicko-fyzikální fakulta
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GC201/07/J033), Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Knobloch, Petr
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	218288
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/11:10104795
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	local projection; SUPG method; stabilization; inf-sup condition; stability; convection-diffusion-reaction equation; finite element method (en)
http://linked.open.../riv/klicoveSlovo	convection-diffusion-reaction equation inf-sup condition local projection finite element method stability stabilization SUPG method
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[B1FC903707AF]
http://linked.open...i/riv/nazevZdroje	IMA Journal of Numerical Analysis
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Numerical simulation of the interactions between a ferrofluid and an immersed permanent magnet
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	31
http://linked.open...iv/tvurceVysledku	Knobloch, Petr Tobiska, Lutz
http://linked.open...ain/vavai/riv/wos	000286471700007
http://linked.open...n/vavai/riv/zamer	Metody moderní matematiky a jejich aplikace
issn	0272-4979
number of pages	18 (xsd:int)
http://bibframe.org/vocab/doi	10.1093/imanum/drp020
http://localhost/t...ganizacniJednotka	11320
is http://linked.open...avai/riv/vysledek of	On the stability of finite-element discretizations of convection-diffusion-reaction equations On the stability of finite-element discretizations of convection-diffusion-reaction equations

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