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Statements

Subject Item
n2:RIV%2F61989100%3A27740%2F10%3A86092848%21RIV15-MSM-27740___
rdf:type
skos:Concept n17:Vysledek
dcterms: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 %22floating%22 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. 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 %22floating%22 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.
dcterms:title
Numerically and parallel scalable TFETI based algorithms for contact problems Numerically and parallel scalable TFETI based algorithms for contact problems
skos:prefLabel
Numerically and parallel scalable TFETI based algorithms for contact problems Numerically and parallel scalable TFETI based algorithms for contact problems
skos:notation
RIV/61989100:27740/10:86092848!RIV15-MSM-27740___
n3:aktivita
n13:Z
n3:aktivity
Z(MSM6198910027)
n3:dodaniDat
n6:2015
n3:domaciTvurceVysledku
n14:7294611 n14:8606609 n14:7723318
n3:druhVysledku
n18:D
n3:duvernostUdaju
n11:S
n3:entitaPredkladatele
n9:predkladatel
n3:idSjednocenehoVysledku
275690
n3:idVysledku
RIV/61989100:27740/10:86092848
n3:jazykVysledku
n20:eng
n3:klicovaSlova
Scalability; Natural coarse grid; Multibody contact problem; Friction; Domain decomposition
n3:klicoveSlovo
n12:Domain%20decomposition n12:Natural%20coarse%20grid n12:Scalability n12:Friction n12:Multibody%20contact%20problem
n3:kontrolniKodProRIV
[EEC2627636B7]
n3:mistoKonaniAkce
Valencie
n3:mistoVydani
Kippen, Stirlingshire
n3:nazevZdroje
Proceedings of the 7th International Conference on Engineering Computational Technology
n3:obor
n16:BA
n3:pocetDomacichTvurcuVysledku
3
n3:pocetTvurcuVysledku
3
n3:rokUplatneniVysledku
n6:2010
n3:tvurceVysledku
Kozubek, Tomáš Brzobohatý, Tomáš Markopoulos, Alexandros
n3:typAkce
n21:WRD
n3:zahajeniAkce
2010-09-14+02:00
n3:zamer
n4:MSM6198910027
s:numberOfPages
9
n10:hasPublisher
Civil-Comp Press
n7:isbn
978-1-905088-39-3
n19:organizacniJednotka
27740