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Statements

Subject Item
n2:RIV%2F61388998%3A_____%2F07%3A00088050%21RIV08-AV0-61388998
rdf:type
skos:Concept n11:Vysledek
dcterms: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. 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.
dcterms:title
Metoda rozložení oblasti typu FETI určená k řešení kontaktních úloh s velkými deformacemi 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:prefLabel
Metoda rozložení oblasti typu FETI určená k řešení kontaktních úloh s velkými deformacemi 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/61388998:_____/07:00088050!RIV08-AV0-61388998
n3:strany
771;778
n3:aktivita
n15:P n15:Z
n3:aktivity
P(GA101/05/0423), Z(AV0Z20760514), Z(MSM6198910027)
n3:dodaniDat
n14:2008
n3:domaciTvurceVysledku
n12:5021391 n12:7988141 n12:9411577 n12:3932095
n3:druhVysledku
n19:D
n3:duvernostUdaju
n10:S
n3:entitaPredkladatele
n8:predkladatel
n3:idSjednocenehoVysledku
421876
n3:idVysledku
RIV/61388998:_____/07:00088050
n3:jazykVysledku
n17:eng
n3:klicovaSlova
domain decomposition; FETI methods; contact problems
n3:klicoveSlovo
n6:domain%20decomposition n6:contact%20problems n6:FETI%20methods
n3:kontrolniKodProRIV
[EE8F7D05525F]
n3:mistoKonaniAkce
New York
n3:mistoVydani
Berlin
n3:nazevZdroje
Domain Decomposition Methods in Science and Engineering XVI
n3:obor
n20:BA
n3:pocetDomacichTvurcuVysledku
4
n3:pocetTvurcuVysledku
4
n3:projekt
n18:GA101%2F05%2F0423
n3:rokUplatneniVysledku
n14:2007
n3:tvurceVysledku
Dostál, Zdeněk Vondrák, Vít Dobiáš, Jiří Pták, Svatopluk
n3:typAkce
n9:WRD
n3:zahajeniAkce
2005-01-12+01:00
n3:zamer
n4:MSM6198910027 n4:AV0Z20760514
s:numberOfPages
8
n21:hasPublisher
Springer-Verlag
n13:isbn
978-3-540-34468-1