A theoretically supported scalable TFETI algorithm for the solution of multibody 3D contact problems with friction

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F12%3A86085073" target="_blank" >RIV/61989100:27240/12:86085073 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61989100:27230/12:86085073 RIV/61989100:27740/12:86085073

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.cma.2011.02.015" target="_blank" >http://dx.doi.org/10.1016/j.cma.2011.02.015</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cma.2011.02.015" target="_blank" >10.1016/j.cma.2011.02.015</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A theoretically supported scalable TFETI algorithm for the solution of multibody 3D contact problems with friction

Popis výsledku v původním jazyce

A Total FETI (TFETI) based domain decomposition algorithm with preconditioning by a natural coarse grid defined by the rigid body motions of subdomains is adapted to the solution of multibody contact problems with friction in 3D and proved to be scalablefor Tresca friction. The analysis admits "floating" bodies. The algorithm finds an approximate solution at the cost asymptotically proportional to the number of variables provided the ratio of the decomposition and the discretization parameters is bounded. The analysis is based on the classical results by Farhat et al. on scalability of FETI for linear problems and on our development of optimal quadratic programming algorithms. The algorithm preserves parallel scalability of the classical FETI method.Both theoretical results and numerical experiments indicate that our algorithm is effective. The effectiveness of the method in the inner loop of the fixed point iterations for the solution of the contact problems with Coulomb's friction

Název v anglickém jazyce

A theoretically supported scalable TFETI algorithm for the solution of multibody 3D contact problems with friction

Popis výsledku anglicky

A Total FETI (TFETI) based domain decomposition algorithm with preconditioning by a natural coarse grid defined by the rigid body motions of subdomains is adapted to the solution of multibody contact problems with friction in 3D and proved to be scalablefor Tresca friction. The analysis admits "floating" bodies. The algorithm finds an approximate solution at the cost asymptotically proportional to the number of variables provided the ratio of the decomposition and the discretization parameters is bounded. The analysis is based on the classical results by Farhat et al. on scalability of FETI for linear problems and on our development of optimal quadratic programming algorithms. The algorithm preserves parallel scalability of the classical FETI method.Both theoretical results and numerical experiments indicate that our algorithm is effective. The effectiveness of the method in the inner loop of the fixed point iterations for the solution of the contact problems with Coulomb's friction

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/GA201%2F07%2F0294" target="_blank" >GA201/07/0294: Kvalitativní analýza kontaktních úloh se třením a asymptoticky optimální algoritmy pro jejich řešení</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

Computer Methods in Applied Mechanics and Engineering

ISSN

0045-7825

e-ISSN

—

Svazek periodika

205

Číslo periodika v rámci svazku

SI

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

11

Strana od-do

110-120

Kód UT WoS článku

000300130100010

EID výsledku v databázi Scopus

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