Scalable total BETI based solver for 3D multibody frictionless contact problems in mechanical engineering
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F11%3A86076099" target="_blank" >RIV/61989100:27240/11:86076099 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.enganabound.2010.09.015" target="_blank" >http://dx.doi.org/10.1016/j.enganabound.2010.09.015</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.enganabound.2010.09.015" target="_blank" >10.1016/j.enganabound.2010.09.015</a>
Alternative languages
Result language
angličtina
Original language name
Scalable total BETI based solver for 3D multibody frictionless contact problems in mechanical engineering
Original language description
A total BETI (TBETI) based domain decomposition algorithm with the preconditioning by a natural coarse grid of the rigid body motions is adapted for the solution of multibody frictionless contact problems of linear elastostatics and proved to be scalable, i.e., the cost of the solution is asymptotically proportional to the number of variables. The analysis admits floating bodies. The proofs combine the original results by Langer and Steinbach on the scalability of BETI for linear problems and our development of optimal quadratic programming algorithms for bound and equality constrained problems. The theoretical results are verified by numerical experiments. The power of the method is demonstrated on the analysis of ball bearings.
Czech name
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Czech description
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Classification
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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Result continuities
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)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
ISSN
0955-7997
e-ISSN
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Volume of the periodical
35
Issue of the periodical within the volume
3
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
12
Pages from-to
330-341
UT code for WoS article
000286783700010
EID of the result in the Scopus database
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