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Statements

Subject Item
n2:RIV%2F61989100%3A27240%2F07%3A00014983%21RIV08-GA0-27240___
rdf:type
n17:Vysledek skos:Concept
dcterms: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. 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.
dcterms:title
FETI domain decomposition method to solution of contact problems with large displacements FETI metoda rozložení oblasti pro řešení kontaktních úloh s velkými posunutími FETI domain decomposition method to solution of contact problems with large displacements
skos:prefLabel
FETI metoda rozložení oblasti pro řešení kontaktních úloh s velkými posunutími FETI domain decomposition method to solution of contact problems with large displacements FETI domain decomposition method to solution of contact problems with large displacements
skos:notation
RIV/61989100:27240/07:00014983!RIV08-GA0-27240___
n3:strany
771-778
n3:aktivita
n14:P
n3:aktivity
P(GA101/05/0423)
n3:cisloPeriodika
55
n3:dodaniDat
n9:2008
n3:domaciTvurceVysledku
n4:5021391 n4:9411577
n3:druhVysledku
n12:J
n3:duvernostUdaju
n18:S
n3:entitaPredkladatele
n16:predkladatel
n3:idSjednocenehoVysledku
421877
n3:idVysledku
RIV/61989100:27240/07:00014983
n3:jazykVysledku
n10:eng
n3:klicovaSlova
contact problems; domain decomposition; scalable algorithms; geometrical nonlinearities; finite element method
n3:klicoveSlovo
n8:domain%20decomposition n8:scalable%20algorithms n8:geometrical%20nonlinearities n8:finite%20element%20method n8:contact%20problems
n3:kodStatuVydavatele
GR - Řecká republika
n3:kontrolniKodProRIV
[A5AEE9BDD4A8]
n3:nazevZdroje
Lecture and Notes in Computational Sciences and Engineering
n3:obor
n15:JR
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
4
n3:projekt
n13:GA101%2F05%2F0423
n3:rokUplatneniVysledku
n9:2007
n3:svazekPeriodika
2007
n3:tvurceVysledku
Pták, Svatopluk Dostál, Zdeněk Vondrák, Vít Dobiáš, Jiří
s:issn
1439-7358
s:numberOfPages
8
n7:organizacniJednotka
27240