Engineering multibody contact problems solved by scalable TBETI

Result code in 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>

Alternative codes found

RIV/61989100:27740/12:86084870

Result on the web

<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>

Result language

angličtina

Original language name

Engineering multibody contact problems solved by scalable TBETI

Original language description

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.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: IT4Innovations Centre of Excellence</a><br>

Continuities

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

Publication year

2012

Confidentiality

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

Name of the periodical

Lecture Notes in Applied and Computational Mechanics. Volume 63

ISSN

1613-7736

e-ISSN

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Volume of the periodical

63

Issue of the periodical within the volume

Neuveden

Country of publishing house

DE - GERMANY

Number of pages

29

Pages from-to

241-269

UT code for WoS article

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EID of the result in the Scopus database

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