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

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F07%3A00088050" target="_blank" >RIV/61388998:_____/07:00088050 - isvavai.cz</a>

  • Alternative codes found

    RIV/61989100:27240/07:00015039 RIV/61989100:27240/07:00015040

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

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

  • Original language 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. Ourpresentation 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.

  • Czech name

    Metoda rozložení oblasti typu FETI určená k řešení kontaktních úloh s velkými deformacemi

  • Czech 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.

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA101%2F05%2F0423" target="_blank" >GA101/05/0423: Finite element analysis and solution to multiple non-linear problems in mechanics of solids</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2007

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Domain Decomposition Methods in Science and Engineering XVI

  • ISBN

    978-3-540-34468-1

  • ISSN

  • e-ISSN

  • Number of pages

    8

  • Pages from-to

    771-778

  • Publisher name

    Springer

  • Place of publication

    Berlin

  • Event location

    New York

  • Event date

    Jan 12, 2005

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article