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

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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 scalable for Tresca friction. The analysis admits %22floating%22 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 is illustrated on the analysis of a mine support. 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 scalable for Tresca friction. The analysis admits %22floating%22 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 is illustrated on the analysis of a mine support. (en)
Title	A theoretically supported scalable TFETI algorithm for the solution of multibody 3D contact problems with friction A theoretically supported scalable TFETI algorithm for the solution of multibody 3D contact problems with friction (en)
skos:prefLabel	A theoretically supported scalable TFETI algorithm for the solution of multibody 3D contact problems with friction A theoretically supported scalable TFETI algorithm for the solution of multibody 3D contact problems with friction (en)
skos:notation	RIV/61989100:27240/12:86085073!RIV13-GA0-27240___
http://linked.open...avai/predkladatel	Fakulta elektrotechniky a informatiky
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/07/0294), Z(MSM6198910027)
http://linked.open...iv/cisloPeriodika	SI
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Dostál, Zdeněk Kozubek, Tomáš Vondrák, Vít
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoká škola báňská - Technická univerzita Ostrava / Fakulta elektrotechniky a informatiky
http://linked.open...dnocenehoVysledku	120692
http://linked.open...ai/riv/idVysledku	RIV/61989100:27240/12:86085073
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Scalability; Friction; Multibody contact problem; Natural coarse grid; Domain decomposition (en)
http://linked.open.../riv/klicoveSlovo	Multibody contact problem Domain decomposition Natural coarse grid Friction Scalability
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[1978587B3C93]
http://linked.open...i/riv/nazevZdroje	Computer Methods in Applied Mechanics and Engineering
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	3 (xsd:int)
http://linked.open...cetTvurcuVysledku	6 (xsd:int)
http://linked.open...vavai/riv/projekt	Qualitative analysis of contact problems with friction and asymptotically optimal algorithms for their solution
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	205
http://linked.open...iv/tvurceVysledku	Brzobohatý, Tomáš Dostál, Zdeněk Kozubek, Tomáš Markopoulos, Alexandros Horyl, Petr Vondrák, Vít
http://linked.open...ain/vavai/riv/wos	000300130100010
http://linked.open...n/vavai/riv/zamer	Výpočetně náročné počítačové simulace a optimalizace
issn	0045-7825
number of pages	11 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.cma.2011.02.015
http://localhost/t...ganizacniJednotka	27240
is http://linked.open...avai/riv/vysledek of	A theoretically supported scalable TFETI algorithm for the solution of multibody 3D contact problems with friction

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