About: Analysis of space-time discontinuous Galerkin method for nonlinear convection-diffusion problems

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About: Analysis of space-time discontinuous Galerkin method for nonlinear convection-diffusion problems Goto Sponge NotDistinct Permalink

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The paper presents the theory of the discontinuous Galerkin finite element method for the space-time discretization of a nonstationary convection-diffusion initial-boundary value problem with nonlinear convection and linear diffusion. The problem is not singularly perturbed with dominating convection. The discontinuous Galerkin method is applied separately in space and time using, in general, different space grids on different time levels and different polynomial degrees p and q in space and time dicretization. In the space discretization the nonsymmetric, symmetric and incomplete interior and boundary penalty (NIPG, SIPG, IIPG) approximation of diffusion terms is used. The paper is concerned with the proof of error estimates in L2(L2)- and DG-norm formed by the L2(H1)-seminorm and penalty terms. A special technique based on the use of the Gauss-Radau interpolation and numerical integration has been used for the derivation of an abstract error estimate. The paper presents the theory of the discontinuous Galerkin finite element method for the space-time discretization of a nonstationary convection-diffusion initial-boundary value problem with nonlinear convection and linear diffusion. The problem is not singularly perturbed with dominating convection. The discontinuous Galerkin method is applied separately in space and time using, in general, different space grids on different time levels and different polynomial degrees p and q in space and time dicretization. In the space discretization the nonsymmetric, symmetric and incomplete interior and boundary penalty (NIPG, SIPG, IIPG) approximation of diffusion terms is used. The paper is concerned with the proof of error estimates in L2(L2)- and DG-norm formed by the L2(H1)-seminorm and penalty terms. A special technique based on the use of the Gauss-Radau interpolation and numerical integration has been used for the derivation of an abstract error estimate. (en)
Title	Analysis of space-time discontinuous Galerkin method for nonlinear convection-diffusion problems Analysis of space-time discontinuous Galerkin method for nonlinear convection-diffusion problems (en)
skos:prefLabel	Analysis of space-time discontinuous Galerkin method for nonlinear convection-diffusion problems Analysis of space-time discontinuous Galerkin method for nonlinear convection-diffusion problems (en)
skos:notation	RIV/00216208:11320/11:10103854!RIV12-GA0-11320___
http://linked.open...avai/predkladatel	Matematicko-fyzikální fakulta
http://linked.open...avai/riv/aktivita	P S Z
http://linked.open...avai/riv/aktivity	P(GA201/08/0012), S, Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Prokopová, Jaroslava Feistauer, Miloslav Kučera, Václav Najzar, Karel
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	185764
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/11:10103854
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	error estimates; nonlinear convection-diffusion problems; space-time discontinuous Galerkin method (en)
http://linked.open.../riv/klicoveSlovo	error estimates nonlinear convection-diffusion problems space-time discontinuous Galerkin method
http://linked.open...odStatuVydavatele	DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV	[4B6375F448F6]
http://linked.open...i/riv/nazevZdroje	Numerische Mathematik
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	4 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...vavai/riv/projekt	Qualitative analysis and numerical solution of flow problems
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	117
http://linked.open...iv/tvurceVysledku	Feistauer, Miloslav Kučera, Václav Najzar, Karel Prokopová, Jaroslava
http://linked.open...ain/vavai/riv/wos	000287150200003
http://linked.open...n/vavai/riv/zamer	Metody moderní matematiky a jejich aplikace
issn	0029-599X
number of pages	38 (xsd:int)
http://bibframe.org/vocab/doi	10.1007/s00211-010-0348-x
http://localhost/t...ganizacniJednotka	11320
is http://linked.open...avai/riv/vysledek of	Analysis of space-time discontinuous Galerkin method for nonlinear convection-diffusion problems Analysis of space-time discontinuous Galerkin method for nonlinear convection-diffusion problems

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