About: FETI domain decomposition method to solution of contact problems with large displacements

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Solution of nonlinear problems is in general difficult and expensive. Among nonlinearities we can meet in structural mechanics is the one caused by two or more bodies in contact. This strong nonlinearity is often source of computational difficulties. Our presentation will describe an application of the FETI method to solution of such contact problems in 3D. In addition to the non-linearity caused by the contact between the bodies, we will also consider another non-linearity, namely the large displacements and an algorithm for solution of such problems will be proposed. The numerical experiments will prove efficiency of proposed algorithms comparing them with primal penalty method which appears to be most often used method to solution of mentioned problems. Solution of nonlinear problems is in general difficult and expensive. Among nonlinearities we can meet in structural mechanics is the one caused by two or more bodies in contact. This strong nonlinearity is often source of computational difficulties. Our presentation will describe an application of the FETI method to solution of such contact problems in 3D. In addition to the non-linearity caused by the contact between the bodies, we will also consider another non-linearity, namely the large displacements and an algorithm for solution of such problems will be proposed. The numerical experiments will prove efficiency of proposed algorithms comparing them with primal penalty method which appears to be most often used method to solution of mentioned problems. (en) Řešení nelineárních úloh je obecně složité a výpočetně drahé. Mezi nelinearitami, se kterými se můžeme setkat se vyskytují i ty, teré jsou způsobeny kontaktem dvou nebo více těles. Tato silná nelinearita je zdrojem výpočetní náročnosti. Tento příspěvek popisuje aplikaci FETI metody pro řešení takových kontaktních úloh ve 3D. Mimo nonlinearitu způsobenou kontaktem mezi tělesy budem taktéž uvažovat další nelinearity, jmenovitě pak velká posunutí a navrhneme algoritmus pro řešení těchto úloh. Numerické experimenty prokáží efektivitu navržených algoritmů v porovnání s metodou založenou na primární penaltě, která je nejběžněji používána na řešení uvedených úloh. (cs)
Title	FETI domain decomposition method to solution of contact problems with large displacements FETI metoda rozložení oblasti pro řešení kontaktních úloh s velkými posunutími (cs) FETI domain decomposition method to solution of contact problems with large displacements (en)
skos:prefLabel	FETI domain decomposition method to solution of contact problems with large displacements FETI metoda rozložení oblasti pro řešení kontaktních úloh s velkými posunutími (cs) FETI domain decomposition method to solution of contact problems with large displacements (en)
skos:notation	RIV/61989100:27240/07:00014983!RIV08-GA0-27240___
http://linked.open.../vavai/riv/strany	771-778
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GA101/05/0423)
http://linked.open...iv/cisloPeriodika	55
http://linked.open...vai/riv/dodaniDat	2008
http://linked.open...aciTvurceVysledku	Dostál, Zdeněk Vondrák, 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	Vysoká škola báňská - Technická univerzita Ostrava / Fakulta elektrotechniky a informatiky
http://linked.open...dnocenehoVysledku	421877
http://linked.open...ai/riv/idVysledku	RIV/61989100:27240/07:00014983
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	contact problems; domain decomposition; scalable algorithms; geometrical nonlinearities; finite element method (en)
http://linked.open.../riv/klicoveSlovo	finite element method domain decomposition contact problems geometrical nonlinearities scalable algorithms
http://linked.open...odStatuVydavatele	GR - Řecká republika
http://linked.open...ontrolniKodProRIV	[A5AEE9BDD4A8]
http://linked.open...i/riv/nazevZdroje	Lecture and Notes in Computational Sciences and Engineering
http://linked.open...in/vavai/riv/obor	JR
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...vavai/riv/projekt	Finite element analysis and solution to multiple non-linear problems in mechanics of solids
http://linked.open...UplatneniVysledku	2007
http://linked.open...v/svazekPeriodika	2007
http://linked.open...iv/tvurceVysledku	Dobiáš, Jiří Dostál, Zdeněk Vondrák, Vít Pták, Svatopluk
issn	1439-7358
number of pages	8 (xsd:int)
http://localhost/t...ganizacniJednotka	27240
is http://linked.open...avai/riv/vysledek of	FETI domain decomposition method to solution of contact problems with large displacements FETI domain decomposition method to solution of contact problems with large displacements FETI domain decomposition method to solution of contact problems with large displacements

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