Engineering multibody contact problems solved by scalable TBETI

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F12%3A86084870" target="_blank" >RIV/61989100:27240/12:86084870 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61989100:27740/12:86084870

Výsledek na webu

<a href="http://dx.doi.org/10.1007/978-3-642-25670-7_8" target="_blank" >http://dx.doi.org/10.1007/978-3-642-25670-7_8</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-642-25670-7_8" target="_blank" >10.1007/978-3-642-25670-7_8</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Engineering multibody contact problems solved by scalable TBETI

Popis výsledku v původním jazyce

We review our recent results in the development of scalable total BETI (TBETI) based domain decomposition algorithms for the solution of multibody contact problems of linear elastostatics. We report the scalability of our algorithms for the frictionlessproblems and the problems with a given (Tresca) friction. Our main tool is the preconditioning by a natural coarse grid of the rigid body motions combined with the BETI methodology and with our in a sense optimal algorithms for the minimization of strictly convex quadratic function subject to separable inequality and linear equality constraints. The analysis admits floating bodies. The theoretical results are verified by numerical experiments, where we also use our algorithms to implement effectively the fixed point iterations for the solution of problems with the Coulomb friction. The power of the method is demonstrated on a real world problem.

Název v anglickém jazyce

Engineering multibody contact problems solved by scalable TBETI

Popis výsledku anglicky

We review our recent results in the development of scalable total BETI (TBETI) based domain decomposition algorithms for the solution of multibody contact problems of linear elastostatics. We report the scalability of our algorithms for the frictionlessproblems and the problems with a given (Tresca) friction. Our main tool is the preconditioning by a natural coarse grid of the rigid body motions combined with the BETI methodology and with our in a sense optimal algorithms for the minimization of strictly convex quadratic function subject to separable inequality and linear equality constraints. The analysis admits floating bodies. The theoretical results are verified by numerical experiments, where we also use our algorithms to implement effectively the fixed point iterations for the solution of problems with the Coulomb friction. The power of the method is demonstrated on a real world problem.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: Centrum excelence IT4Innovations</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

2012

Kód důvěrnosti údajů

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

Název periodika

Lecture Notes in Applied and Computational Mechanics. Volume 63

ISSN

1613-7736

e-ISSN

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Svazek periodika

63

Číslo periodika v rámci svazku

Neuveden

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

29

Strana od-do

241-269

Kód UT WoS článku

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EID výsledku v databázi Scopus

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