About: Error analysis of a DG method employing ideal elements applied to a nonlinear convection-diffusion problem

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	In this paper we use the discontinuous Galerkin finite element method for the space-semidiscretization of a nonlinear nonstationary convection-diffusion problem defined on a nonpolygonal two-dimensional domain. Using Zlámal's concept of the ideal curved elements, we define a finite element space . We prove the 'ideal' versions of the inverse and the multiplicative trace inequalities known for standard straight triangulations. Further, we define a projection on the finite element space and study its approximation properties. The obtained results allow us to derive an H1-optimal error estimate for the discontinuous Galerkin method employing the ideal curved elements. In this paper we use the discontinuous Galerkin finite element method for the space-semidiscretization of a nonlinear nonstationary convection-diffusion problem defined on a nonpolygonal two-dimensional domain. Using Zlámal's concept of the ideal curved elements, we define a finite element space . We prove the 'ideal' versions of the inverse and the multiplicative trace inequalities known for standard straight triangulations. Further, we define a projection on the finite element space and study its approximation properties. The obtained results allow us to derive an H1-optimal error estimate for the discontinuous Galerkin method employing the ideal curved elements. (en)
Title	Error analysis of a DG method employing ideal elements applied to a nonlinear convection-diffusion problem Error analysis of a DG method employing ideal elements applied to a nonlinear convection-diffusion problem (en)
skos:prefLabel	Error analysis of a DG method employing ideal elements applied to a nonlinear convection-diffusion problem Error analysis of a DG method employing ideal elements applied to a nonlinear convection-diffusion problem (en)
skos:notation	RIV/68407700:21230/11:00182386!RIV12-MSM-21230___
http://linked.open...avai/predkladatel	Fakulta elektrotechnická
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM6840770010)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Sobotíková, Veronika
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	České vysoké učení technické v Praze / Fakulta elektrotechnická
http://linked.open...dnocenehoVysledku	197919
http://linked.open...ai/riv/idVysledku	RIV/68407700:21230/11:00182386
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	nonlinear convection-diffusion equation; discontinuous Galerkin finite element method; curved boundary; ideal triangulation; error estimates (en)
http://linked.open.../riv/klicoveSlovo	curved boundary ideal triangulation nonlinear convection-diffusion equation discontinuous Galerkin finite element method error estimates
http://linked.open...odStatuVydavatele	DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV	[F55AEE34671E]
http://linked.open...i/riv/nazevZdroje	Journal of Numerical Mathematics
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	19
http://linked.open...iv/tvurceVysledku	Sobotíková, Veronika
http://linked.open...ain/vavai/riv/wos	000292773100003
http://linked.open...n/vavai/riv/zamer	Aplikovaná matematika v technických a fyzikálních vědách
issn	1570-2820
number of pages	27 (xsd:int)
http://bibframe.org/vocab/doi	10.1515/JNUM.2011.007
http://localhost/t...ganizacniJednotka	21230
is http://linked.open...avai/riv/vysledek of	Error analysis of a DG method employing ideal elements applied to a nonlinear convection-diffusion problem Error analysis of a DG method employing ideal elements applied to a nonlinear convection-diffusion problem

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