About: Face-based Selection of Corners in 3D Substructuring

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	In most recent substructuring methods, a fundamental role is played by the coarse space. For some of these methods (e.g. BDDC and FETI-DP), its definition relies on a 'minimal' set of coarse nodes (sometimes called corners) which assures invertibility of local subdomain problems and also of the global coarse problem. This basic set is typically enhanced by enforcing continuity of functions at some generalized degrees of freedom, such as average values on edges or faces of subdomains. We revisit existing algorithms for selection of corners. The main contribution of this paper consists of proposing a new heuristic algorithm for this purpose. Considering faces as the basic building blocks of the interface, inherent parallelism, and better robustness with respect to disconnected subdomains are among features of the new technique. The advantages of the presented algorithm in comparison to some earlier approaches are demonstrated on three engineering problems of structural analysis solved by the BDDC method. In most recent substructuring methods, a fundamental role is played by the coarse space. For some of these methods (e.g. BDDC and FETI-DP), its definition relies on a 'minimal' set of coarse nodes (sometimes called corners) which assures invertibility of local subdomain problems and also of the global coarse problem. This basic set is typically enhanced by enforcing continuity of functions at some generalized degrees of freedom, such as average values on edges or faces of subdomains. We revisit existing algorithms for selection of corners. The main contribution of this paper consists of proposing a new heuristic algorithm for this purpose. Considering faces as the basic building blocks of the interface, inherent parallelism, and better robustness with respect to disconnected subdomains are among features of the new technique. The advantages of the presented algorithm in comparison to some earlier approaches are demonstrated on three engineering problems of structural analysis solved by the BDDC method. (en)
Title	Face-based Selection of Corners in 3D Substructuring Face-based Selection of Corners in 3D Substructuring (en)
skos:prefLabel	Face-based Selection of Corners in 3D Substructuring Face-based Selection of Corners in 3D Substructuring (en)
skos:notation	RIV/68407700:21220/12:00201957!RIV13-MSM-21220___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA106/08/0403), P(IAA100760702), Z(AV0Z10190503), Z(MSM6840770010)
http://linked.open...iv/cisloPeriodika	10
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Čertíková, Marta Burda, Pavel
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	České vysoké učení technické v Praze / Fakulta strojní
http://linked.open...dnocenehoVysledku	136002
http://linked.open...ai/riv/idVysledku	RIV/68407700:21220/12:00201957
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	domain decomposition; iterative substructuring; BDDC; parallel algorithms; corner selection (en)
http://linked.open.../riv/klicoveSlovo	parallel algorithms BDDC domain decomposition iterative substructuring corner selection
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[71A3911E56E9]
http://linked.open...i/riv/nazevZdroje	Mathematics and Computers in Simulation
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...vavai/riv/projekt	Methods of higher order of accuracy for solution of multi-physics coupled problems Development and parallelization of domain decomposition methods and application to nonlinear elasticity and material engineering
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	82
http://linked.open...iv/tvurceVysledku	Novotný, J. Burda, Pavel Čertíková, Marta Šístek, J.
http://linked.open...ain/vavai/riv/wos	000308519900007
http://linked.open...n/vavai/riv/zamer	Rozvoj a prohloubení obecných matematických poznatků a jejich užití v dalších vědních oborech a v praxi Aplikovaná matematika v technických a fyzikálních vědách
issn	0378-4754
number of pages	13 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.matcom.2011.06.007
http://localhost/t...ganizacniJednotka	21220

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