Implementation of fixed point method for duality based solution of contact problems with friction

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F02%3A00000925" target="_blank" >RIV/61989100:27240/02:00000925 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61989100:27240/02:00006691

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Implementation of fixed point method for duality based solution of contact problems with friction

Popis výsledku v původním jazyce

The paper deals with the numerical solution of the quasi-variational inequality describing the equilibrium of an elastic body in contact with a rigid foundation under Coulomb friction. After a discretization of the problem by mixed finite elements, the duality approach is exploited to reduce the problem to a sequence of quadratic programming problems with box constraints, so that efficient recently proposed algorithms may be applied. A new variant of this method is presented. It combines fixed point with block Gauss-Seidel iterations. The method may be also considered as a new implementation of fixed point iterations for a sequence of problems with given friction. Results of numerical experiments are given showing that the resulting algorithm may be much faster than the original fixed point method and its efficiency is comparable with the solution of frictionless contact problems.

Název v anglickém jazyce

Implementation of fixed point method for duality based solution of contact problems with friction

Popis výsledku anglicky

The paper deals with the numerical solution of the quasi-variational inequality describing the equilibrium of an elastic body in contact with a rigid foundation under Coulomb friction. After a discretization of the problem by mixed finite elements, the duality approach is exploited to reduce the problem to a sequence of quadratic programming problems with box constraints, so that efficient recently proposed algorithms may be applied. A new variant of this method is presented. It combines fixed point with block Gauss-Seidel iterations. The method may be also considered as a new implementation of fixed point iterations for a sequence of problems with given friction. Results of numerical experiments are given showing that the resulting algorithm may be much faster than the original fixed point method and its efficiency is comparable with the solution of frictionless contact problems.

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/GA101%2F01%2F0538" target="_blank" >GA101/01/0538: Vývoj a implementace paralelních algoritmů pro 3D kontaktní úlohy s třením a kontaktní tvarovou optimalizaci</a><br>

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2002

Kód důvěrnosti údajů

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

Název periodika

Journal for Computational and Applied Mathematics

ISSN

0377-0427

e-ISSN

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Svazek periodika

140

Číslo periodika v rámci svazku

1-2

Stát vydavatele periodika

BE - Belgické království

Počet stran výsledku

11

Strana od-do

245-256

Kód UT WoS článku

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EID výsledku v databázi Scopus

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