About: hp-DGFEM for nonlinear convection-diffusion problems

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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
rdfs:seeAlso	http://dx.doi.org/10.1016/j.matcom.2013.03.001
Description	We deal with a numerical solution of nonlinear convection-diffusion problems with the aid of the discontinuous Galerkin finite element method (DGFEM). We propose a new hp-adaptation technique, which is based on a combination of a residuum-nonconformity estimator and a regularity indicator. The residuum-nonconformity estimator consists of two building blocks and it marks mesh elements for a refinement. The regularity indicator decides if the marked elements will be refined by h- or p-technique. The residuum-nonconformity estimator as well as the regularity indicator are easily computable quantities. Moreover, the same technique estimates an algebraic error arising from an iterative solution of the corresponding nonlinear algebraic system. The performance of the proposed hp-DGFEM is demonstrated by five numerical examples. We deal with a numerical solution of nonlinear convection-diffusion problems with the aid of the discontinuous Galerkin finite element method (DGFEM). We propose a new hp-adaptation technique, which is based on a combination of a residuum-nonconformity estimator and a regularity indicator. The residuum-nonconformity estimator consists of two building blocks and it marks mesh elements for a refinement. The regularity indicator decides if the marked elements will be refined by h- or p-technique. The residuum-nonconformity estimator as well as the regularity indicator are easily computable quantities. Moreover, the same technique estimates an algebraic error arising from an iterative solution of the corresponding nonlinear algebraic system. The performance of the proposed hp-DGFEM is demonstrated by five numerical examples. (en)
Title	hp-DGFEM for nonlinear convection-diffusion problems hp-DGFEM for nonlinear convection-diffusion problems (en)
skos:prefLabel	hp-DGFEM for nonlinear convection-diffusion problems hp-DGFEM for nonlinear convection-diffusion problems (en)
skos:notation	RIV/00216208:11320/13:10159215!RIV14-GA0-11320___
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GA201/08/0012)
http://linked.open...iv/cisloPeriodika	January
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Dolejší, Vít
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	78186
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/13:10159215
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Algebraic error; Regularity estimator; Residuum-nonconformity indicator; hp-Discontinuous Galerkin finite element method (en)
http://linked.open.../riv/klicoveSlovo	Algebraic error Regularity estimator Residuum-nonconformity indicator hp-Discontinuous Galerkin finite element method
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[C285059AF864]
http://linked.open...i/riv/nazevZdroje	Mathematics and Computers in Simulation
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...vavai/riv/projekt	Qualitative analysis and numerical solution of flow problems
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	87
http://linked.open...iv/tvurceVysledku	Dolejší, Vít
http://linked.open...ain/vavai/riv/wos	000318135800007
issn	0378-4754
number of pages	32 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.matcom.2013.03.001
http://localhost/t...ganizacniJednotka	11320

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