Scalable TFETI based dynamic contact algorithm

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27230%2F11%3A86092851" target="_blank" >RIV/61989100:27230/11:86092851 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27740/11:86092851
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Scalable TFETI based dynamic contact algorithm
Original language description
The TFETI based domain decomposition method is adapted in order that it can be implemented into the time stepping Newmark scheme for the solution to dynamic frictionless contact problems accompanied by geometric and material non-linear effects. Our approach stems from application of our own in a sense optimal MPGRP algorithm to solution to strictly convex bound constrained quadratic programming problems with preconditioning by the conjugate projector to the subspace defined by the trace of the rigid body modes on the fictitious interfaces between sub-domains. The time integration requires a special treatment to guarantee stability and removal of undesired non-physical oscillation of solution along the contact interfaces. We applied the contact stabilised Newmark scheme that reduces the solution to a sequence of quadratic programming problems with inequality constraints describing the non-interpenetration condition along the contact interfaces. We also show that our transient algorithm can be applied to solution to problems exhibiting both geometric and material non-linearities. Results of numerical experiments document that the proposed algorithm is robust, highly accurate and exhibit both parallel and numerical scalabilities.
Czech name
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Czech description
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Project
<a href="/en/project/GA101%2F08%2F0574" target="_blank" >GA101/08/0574: Solution to very complex contact problems with other non-linearities by modern mathematical methods</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the Thirteenth International Conference on Civil, Structural and Environmental Engineering Computing
ISBN
978-1-905088-45-4
ISSN
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e-ISSN
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Number of pages
15
Pages from-to
1730-1745
Publisher name
Civil-Comp Press
Place of publication
Kippen, Stirlingshire
Event location
Chania
Event date
Sep 6, 2011
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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