About: Complementary error bounds for elliptic systems and applications

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	This contribution derives guaranteed upper bounds of the energy norm of the approximation error for linear elliptic partial differential systems. We generalize the complementarity error estimates known for scalar elliptic problems to general diffusion–convection–reaction linear elliptic systems. For systems we prove analogous properties of these error bounds as for the scalar case. A brief description how the presented general theory applies to linear elasticity is included as well as an application to chemical systems with reactions of at most first order. Numerical experiments showing the sharpness of the obtained upper bounds and their behavior in the adaptive procedure are presented, too. This contribution derives guaranteed upper bounds of the energy norm of the approximation error for linear elliptic partial differential systems. We generalize the complementarity error estimates known for scalar elliptic problems to general diffusion–convection–reaction linear elliptic systems. For systems we prove analogous properties of these error bounds as for the scalar case. A brief description how the presented general theory applies to linear elasticity is included as well as an application to chemical systems with reactions of at most first order. Numerical experiments showing the sharpness of the obtained upper bounds and their behavior in the adaptive procedure are presented, too. (en)
Title	Complementary error bounds for elliptic systems and applications Complementary error bounds for elliptic systems and applications (en)
skos:prefLabel	Complementary error bounds for elliptic systems and applications Complementary error bounds for elliptic systems and applications (en)
skos:notation	RIV/67985840:_____/13:00391349!RIV14-AV0-67985840
http://linked.open...avai/predkladatel	Matematický ústav AV ČR, v. v. i.
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(IAA100760702)
http://linked.open...iv/cisloPeriodika	3
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Vejchodský, Tomáš
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	Matematický ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	66426
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/13:00391349
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	a posteriori error estimates; guaranteed; dual finite element methods (en)
http://linked.open.../riv/klicoveSlovo	a posteriori error estimates dual finite element methods guaranteed
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[F3E810F222EF]
http://linked.open...i/riv/nazevZdroje	Applied Mathematics and Computation
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	Methods of higher order of accuracy for solution of multi-physics coupled problems
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	219
http://linked.open...iv/tvurceVysledku	Vejchodský, Tomáš
http://linked.open...ain/vavai/riv/wos	000316667100010
issn	0096-3003
number of pages	12 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.amc.2011.05.108

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