A non-linear dynamic parallel domain decomposition based algorithm

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F09%3A86085142" target="_blank" >RIV/61989100:27240/09:86085142 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.4203/ccp.91.117" target="_blank" >http://dx.doi.org/10.4203/ccp.91.117</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.4203/ccp.91.117" target="_blank" >10.4203/ccp.91.117</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A non-linear dynamic parallel domain decomposition based algorithm

Popis výsledku v původním jazyce

This paper is concerned with application of a new variant of the Finite Element Tearing and Interconnecting (FETI) domain decomposition method, called the Total FETI (TFETI), to the solution to non-linear dynamic problems. Geometric, material, and contact non-linearities are considered. The TFETI enforces the prescribed displacements by the Lagrange multipliers, so that all the subdomains exhibit rigid body modes, the kernels of their stiffness matrices are known a priori, and the projector to the natural coarse grid is more effective. The basic theory and relationships of both FETI and TFETI are reviewed. It is shown that application of TFETI methodology to the contact problems converts the original problem to the strictly convex quadratic programmingproblem with bound and equality constraints, so that the effective in some sense optimal algorithms can be applied. Numerical experiments show that optimal convergence properties of the time independent TFETI are preserved in the time de

Název v anglickém jazyce

A non-linear dynamic parallel domain decomposition based algorithm

Popis výsledku anglicky

This paper is concerned with application of a new variant of the Finite Element Tearing and Interconnecting (FETI) domain decomposition method, called the Total FETI (TFETI), to the solution to non-linear dynamic problems. Geometric, material, and contact non-linearities are considered. The TFETI enforces the prescribed displacements by the Lagrange multipliers, so that all the subdomains exhibit rigid body modes, the kernels of their stiffness matrices are known a priori, and the projector to the natural coarse grid is more effective. The basic theory and relationships of both FETI and TFETI are reviewed. It is shown that application of TFETI methodology to the contact problems converts the original problem to the strictly convex quadratic programmingproblem with bound and equality constraints, so that the effective in some sense optimal algorithms can be applied. Numerical experiments show that optimal convergence properties of the time independent TFETI are preserved in the time de

Druh

D - Stať ve sborníku

CEP obor

JR - Ostatní strojírenství

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)

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

—

e-ISSN

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Počet stran výsledku

8

Strana od-do

117

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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