About: Theoretically supported scalable BETI method for variational inequalities

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The Boundary Element Tearing and Interconnecting (BETI) methods were recently introduced as boundary element counterparts of the well established Finite Element Tearing and Interconnecting (FETI) methods. Here we combine the BETI method preconditioned by the projector to the %22natural coarse grid%22 with recently proposed optimal algorithms for the solution of bound and equality constrained quadratic programming problems in order to develop a theoretically supported scalable solver for elliptic multidomain boundary variational inequalities such as those describing the equilibrium of a system of bodies in mutual contact. The key observation is that the %22natural coarse grid%22 defines a subspace that contains the solution, so that the preconditioning affects also the non-linear steps. The results are validated by numerical experiments. The Boundary Element Tearing and Interconnecting (BETI) methods were recently introduced as boundary element counterparts of the well established Finite Element Tearing and Interconnecting (FETI) methods. Here we combine the BETI method preconditioned by the projector to the %22natural coarse grid%22 with recently proposed optimal algorithms for the solution of bound and equality constrained quadratic programming problems in order to develop a theoretically supported scalable solver for elliptic multidomain boundary variational inequalities such as those describing the equilibrium of a system of bodies in mutual contact. The key observation is that the %22natural coarse grid%22 defines a subspace that contains the solution, so that the preconditioning affects also the non-linear steps. The results are validated by numerical experiments. (en)
Title	Theoretically supported scalable BETI method for variational inequalities Theoretically supported scalable BETI method for variational inequalities (en)
skos:prefLabel	Theoretically supported scalable BETI method for variational inequalities Theoretically supported scalable BETI method for variational inequalities (en)
skos:notation	RIV/61989100:27240/08:00019178!RIV11-AV0-27240___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(1ET400300415), P(GA201/07/0294), Z(MSM6198910027)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2011
http://linked.open...aciTvurceVysledku	Dostál, Zdeněk Sadowská, Marie Bouchala, Jiří
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	399836
http://linked.open...ai/riv/idVysledku	RIV/61989100:27240/08:00019178
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	parallel algorithms; BETI; scalability; variational inequality; boundary elements; domain decomposition (en)
http://linked.open.../riv/klicoveSlovo	boundary elements BETI variational inequality parallel algorithms scalability domain decomposition
http://linked.open...odStatuVydavatele	DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV	[8B782A609464]
http://linked.open...i/riv/nazevZdroje	Computing
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	3 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Modelling and simulation of complex technical problems:effective numerical algorithms and parallel implementation using new information technologie Qualitative analysis of contact problems with friction and asymptotically optimal algorithms for their solution
http://linked.open...UplatneniVysledku	2008
http://linked.open...v/svazekPeriodika	82
http://linked.open...iv/tvurceVysledku	Dostál, Zdeněk Bouchala, Jiří Sadowská, Marie
http://linked.open...ain/vavai/riv/wos	000255091100004
http://linked.open...n/vavai/riv/zamer	Výpočetně náročné počítačové simulace a optimalizace
issn	0010-485X
number of pages	23 (xsd:int)
http://localhost/t...ganizacniJednotka	27240
is http://linked.open...avai/riv/vysledek of	Theoretically supported scalable BETI method for variational inequalities

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