Numerically and parallel scalable TFETI based algorithms for contact problems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F10%3A86092848" target="_blank" >RIV/61989100:27240/10:86092848 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27230/10:86092848 RIV/61989100:27740/10:86092848
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Numerically and parallel scalable TFETI based algorithms for contact problems
Original language description
In Reference [8], a total FETI (TFETI) based domain decomposition algorithm with preconditioning by a natural coarse grid defined by the rigid body motions of the subdomains is adapted to the solution of multibody contact problems with friction in three dimensions and proved to be scalable for Tresca friction. The analysis admits "floating" bodies. The algorithm finds an approximate solution at a 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, Mandel, and Roux [11] on the scalability of the FETI algorithm for linear problems and on our development of optimal quadratic programming algorithms. The algorithm preserves the 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 is illustrated with the analysis of a mine support.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Proceedings of the 7th International Conference on Engineering Computational Technology
ISBN
978-1-905088-39-3
ISSN
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e-ISSN
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Number of pages
9
Pages from-to
74-83
Publisher name
Civil-Comp Press
Place of publication
Kippen, Stirlingshire
Event location
Valencie
Event date
Sep 14, 2010
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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