Effective algorithms for implementation of FETI-based domain decomposition methods

Kód výsledku v 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>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Effective algorithms for implementation of FETI-based domain decomposition methods

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

Effective algorithms for implementation of FETI-based domain decomposition methods

Popis výsledku anglicky

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

Druh

D - Stať ve sborníku

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/GA101%2F08%2F0574" target="_blank" >GA101/08/0574: Řešení velmi náročných kontaktních úloh s dalšími nelinearitami moderními matematickými metodami</a><br>

Návaznosti

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

Rok uplatnění

2009

Kód důvěrnosti údajů

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

Název statě ve sborníku

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

ISBN

978-1-905088-30-0

ISSN

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e-ISSN

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Počet stran výsledku

11

Strana od-do

1-11

Název nakladatele

Civil-Comp Press

Místo vydání

Kippen, Stirlingshire

Místo konání akce

Funchal

Datum konání akce

1. 9. 2009

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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