About: Estimates of deviations from exact solutions of elasticity problems with nonlinear boundary conditions

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://www.degruyter.com/view/j/rnam.2013.28.issue-6/rnam-2013-0033/rnam-2013-0033.xml?format=INT
Description	We present a method of deriving fully guaranteed bounds of the difference between the exact and approximate solutions of variational inequalities generated by problems in the theory of elasticity with nonlinear boundary conditions (e.g., unilateral and friction type boundary conditions). These estimates are obtained with the help of the duality technique in the calculus of variations. They do not contain mesh-dependent constants and are valid for any function from the corresponding energy space compared with the exact solution. We prove that the majorants of deviations are continuous and vanish if and only if approximate solutions coincide with the exact one. Several numerical tests demonstrate the quality of the estimates. We present a method of deriving fully guaranteed bounds of the difference between the exact and approximate solutions of variational inequalities generated by problems in the theory of elasticity with nonlinear boundary conditions (e.g., unilateral and friction type boundary conditions). These estimates are obtained with the help of the duality technique in the calculus of variations. They do not contain mesh-dependent constants and are valid for any function from the corresponding energy space compared with the exact solution. We prove that the majorants of deviations are continuous and vanish if and only if approximate solutions coincide with the exact one. Several numerical tests demonstrate the quality of the estimates. (en)
Title	Estimates of deviations from exact solutions of elasticity problems with nonlinear boundary conditions Estimates of deviations from exact solutions of elasticity problems with nonlinear boundary conditions (en)
skos:prefLabel	Estimates of deviations from exact solutions of elasticity problems with nonlinear boundary conditions Estimates of deviations from exact solutions of elasticity problems with nonlinear boundary conditions (en)
skos:notation	RIV/61989100:27740/13:86087881!RIV14-MSM-27740___
http://linked.open...avai/predkladatel	IT4Innovations
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(ED1.1.00/02.0070), P(EE.2.3.20.0070)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Valdman, Jan
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	Vysoká škola báňská - Technická univerzita Ostrava / IT4Innovations
http://linked.open...dnocenehoVysledku	73238
http://linked.open...ai/riv/idVysledku	RIV/61989100:27740/13:86087881
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	A posteriori error estimates, elasticity problems, nonlinear boundary conditions (en)
http://linked.open.../riv/klicoveSlovo	A posteriori error estimates elasticity problems nonlinear boundary conditions
http://linked.open...odStatuVydavatele	DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV	[2F37507A8435]
http://linked.open...i/riv/nazevZdroje	Russian Journal of Numerical Analysis and Mathematical Modelling
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	Creating a multidisciplinary R&D team for reliable solution of mechanics tasks IT4Innovations Centre of Excellence
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	28
http://linked.open...iv/tvurceVysledku	Neittaanmäki, Pekka Repin, Sergey Valdman, Jan
http://linked.open...ain/vavai/riv/wos	000327767200005
issn	0927-6467
number of pages	33 (xsd:int)
http://bibframe.org/vocab/doi	10.1515/rnam-2013-0033
http://localhost/t...ganizacniJednotka	27740

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