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Effective algorithms for implementation of FETI-based domain decomposition methods

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F09%3A86084932" target="_blank" >RIV/61989100:27240/09:86084932 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Effective algorithms for implementation of FETI-based domain decomposition methods

  • Original language description

    Finite Element Tearing and Interconecting (FETI) methods are powerful tool for solving various problems from practice, e.g. solid mechanics, shape optimization, contact problems, fluid dynamics etc. For parallel implementation of FETI methods, we need some general tool to decompose the given problem into prescribed number of sub-domains. For successful solving of the resulting problem it is essential that all sub-domains are simply connected and the decomposition is of high-quality. In case of floatingstructure, domain decomposition is also used for detection of 'fixing nodes' that stabilize the evaluating of the action of a generalized inverse. Thus, traditional solvers based on Cholesky decomposition can be adapted to solve the symmetric positive semi-definite system of linear equations by recognition of zero rows or columns and also by setting up a well conditioned regular sub-matrix of the problem. The best position of 'fixing nodes' is such that the structure is as stiff as possi

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA101%2F08%2F0574" target="_blank" >GA101/08/0574: Solution to very complex contact problems with other non-linearities by modern mathematical methods</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2009

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Proceedings of the 12th International Conference on Civil, Structural and Environmental Engineering Computing

  • ISBN

    978-1-905088-30-0

  • ISSN

  • e-ISSN

  • Number of pages

    11

  • Pages from-to

    1-11

  • Publisher name

    Civil-Comp Press

  • Place of publication

    Kippen, Stirlingshire

  • Event location

    Funchal

  • Event date

    Sep 1, 2009

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article