About: Singularities in Lid Driven Cavity Solved by Adjusted Finite Element Method

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The problem of singularities caused by boundary conditions is studied on the flow in lid driven cavity. The asymptotic behaviour of pressure near the singularity locations is used together with the a priori error estimates of the finite element solution, in order to design the finite element mesh adjusted to singularity. In this way a very precise solution in the vicinity of the singularity is obtained. A posteriori error estimates are used as the principal tool for error analysis. Numerical results showing the dramatic improvement in pressure calculation are presented. The problem of singularities caused by boundary conditions is studied on the flow in lid driven cavity. The asymptotic behaviour of pressure near the singularity locations is used together with the a priori error estimates of the finite element solution, in order to design the finite element mesh adjusted to singularity. In this way a very precise solution in the vicinity of the singularity is obtained. A posteriori error estimates are used as the principal tool for error analysis. Numerical results showing the dramatic improvement in pressure calculation are presented. (en)
Title	Singularities in Lid Driven Cavity Solved by Adjusted Finite Element Method Singularities in Lid Driven Cavity Solved by Adjusted Finite Element Method (en)
skos:prefLabel	Singularities in Lid Driven Cavity Solved by Adjusted Finite Element Method Singularities in Lid Driven Cavity Solved by Adjusted Finite Element Method (en)
skos:notation	RIV/67985840:_____/11:00362928!RIV12-AV0-67985840
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA106/08/0403), Z(AV0Z10190503), Z(AV0Z20760514), Z(MSM6840770001), Z(MSM6840770010)
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Šístek, Jakub
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Matematický ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	229559
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/11:00362928
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Navier-Stokes flow; singularity; lid driven cavity; adjusted mesh (en)
http://linked.open.../riv/klicoveSlovo	singularity Navier-Stokes flow adjusted mesh lid driven cavity
http://linked.open...ontrolniKodProRIV	[A346BFCF916F]
http://linked.open...v/mistoKonaniAkce	St Petersburg
http://linked.open...i/riv/mistoVydani	Berlin
http://linked.open...i/riv/nazevZdroje	Computational Fluid Dynamics 2010
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Development and parallelization of domain decomposition methods and application to nonlinear elasticity and material engineering
http://linked.open...UplatneniVysledku	2011
http://linked.open...iv/tvurceVysledku	Burda, P. Novotný, Jaroslav Šístek, Jakub
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open...ain/vavai/riv/wos	000292954200101
http://linked.open.../riv/zahajeniAkce	2010-07-12 (xsd:date)
http://linked.open...n/vavai/riv/zamer	Rozvoj a prohloubení obecných matematických poznatků a jejich užití v dalších vědních oborech a v praxi Complex dynamical systems in thermodynamics, fluid and solid mechanics Reliability, optimization and durability of building materials and constructions Aplikovaná matematika v technických a fyzikálních vědách
number of pages	7 (xsd:int)
http://bibframe.org/vocab/doi	10.1007/978-3-642-17884-9_101
http://purl.org/ne...btex#hasPublisher	Springer-Verlag
https://schema.org/isbn	978-3-642-17883-2

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