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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
http://linked.open...avai/riv/aktivity
  • P(GA101/05/0423)
http://linked.open...iv/cisloPeriodika
  • 55
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 421877
http://linked.open...ai/riv/idVysledku
  • RIV/61989100:27240/07:00014983
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • contact problems; domain decomposition; scalable algorithms; geometrical nonlinearities; finite element method (en)
http://linked.open.../riv/klicoveSlovo
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
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
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
http://localhost/t...ganizacniJednotka
  • 27240
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