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

Result code in 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>
Alternative codes found
RIV/61989100:27230/12:86085073 RIV/61989100:27740/12:86085073
Result on the web
<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>

Result language
angličtina
Original language name
A theoretically supported scalable TFETI algorithm for the solution of multibody 3D contact problems with friction
Original language description
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
Czech name
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Czech description
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Type
J<sub>x</sub> - 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/GA201%2F07%2F0294" target="_blank" >GA201/07/0294: Qualitative analysis of contact problems with friction and asymptotically optimal algorithms for their solution</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

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