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Description
  • Řešení nelineárních úloh je obecně obtížné a drahé. Mezi nelinearity, se kterými se můžeme setkat v strukturální mechanice, patří ta způsobená dvěmi či více tělesy ve vzájemném kontaktu. Tato silná nelinearita je často zdrojem problémů. Naše prezentace popíše aplikaci FETI metody k řešení takovýchto kontaktních úloh v 3D. Kromě této nelinearity způsobené kontaktem budeme uvažovat i jinou nelinearitu, kterou jsou velká posunutí, a bude navržen algoritmus k jejich řešení. Numerické experimenty prokazují efektivnost navrženého algoritmu v porovnání s primární penaltou, dosud nejčastěji používanou k řešení obdobných úloh. (cs)
  • 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)
Title
  • FETI domain decomposition method to solution of contact problems with large displacements
  • FETI domain decomposition method to solution of contact problems with large displacements (en)
  • Metoda rozložení oblasti typu FETI určená k řešení kontaktních úloh s velkými deformacemi (cs)
skos:prefLabel
  • FETI domain decomposition method to solution of contact problems with large displacements
  • FETI domain decomposition method to solution of contact problems with large displacements (en)
  • Metoda rozložení oblasti typu FETI určená k řešení kontaktních úloh s velkými deformacemi (cs)
skos:notation
  • RIV/61388998:_____/07:00088050!RIV08-AV0-61388998
http://linked.open.../vavai/riv/strany
  • 771;778
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA101/05/0423), Z(AV0Z20760514), Z(MSM6198910027)
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
  • 421876
http://linked.open...ai/riv/idVysledku
  • RIV/61388998:_____/07:00088050
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • domain decomposition; FETI methods; contact problems (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [EE8F7D05525F]
http://linked.open...v/mistoKonaniAkce
  • New York
http://linked.open...i/riv/mistoVydani
  • Berlin
http://linked.open...i/riv/nazevZdroje
  • Domain Decomposition Methods in Science and Engineering XVI
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...iv/tvurceVysledku
  • Dobiáš, Jiří
  • Dostál, Zdeněk
  • Vondrák, Vít
  • Pták, Svatopluk
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • Springer-Verlag
https://schema.org/isbn
  • 978-3-540-34468-1
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