About: Adaptive Selection of Face Foarse Degrees of Freedom in the BDDC and the FETI-DP Iterative Substructuring Methods

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We propose a class of methods for the adaptive selection of the coarse space of the BDDC and FETI-DP iterative substructuring methods. The methods work by adding coarse degrees of freedom constructed from eigenvectors associated with intersections of selected pairs of adjacent substructures. It is assumed that the starting coarse degrees of freedom are already sufficient to prevent relative rigid body motions in any selected pair of adjacent substructures. A heuristic indicator of the the condition number is developed and a minimal number of coarse degrees of freedom is added to decrease the indicator under a given threshold. It is shown numerically on 2D elasticity problems that the indicator based on pairs of substructures with common edges predicts the actual condition number reasonably well, and that the method can select adaptively the hard part of the problem and concentrate computational work there to achieve good convergence of the iterations at a modest cost. We propose a class of methods for the adaptive selection of the coarse space of the BDDC and FETI-DP iterative substructuring methods. The methods work by adding coarse degrees of freedom constructed from eigenvectors associated with intersections of selected pairs of adjacent substructures. It is assumed that the starting coarse degrees of freedom are already sufficient to prevent relative rigid body motions in any selected pair of adjacent substructures. A heuristic indicator of the the condition number is developed and a minimal number of coarse degrees of freedom is added to decrease the indicator under a given threshold. It is shown numerically on 2D elasticity problems that the indicator based on pairs of substructures with common edges predicts the actual condition number reasonably well, and that the method can select adaptively the hard part of the problem and concentrate computational work there to achieve good convergence of the iterations at a modest cost. (en)
Title	Adaptive Selection of Face Foarse Degrees of Freedom in the BDDC and the FETI-DP Iterative Substructuring Methods Adaptive Selection of Face Foarse Degrees of Freedom in the BDDC and the FETI-DP Iterative Substructuring Methods (en)
skos:prefLabel	Adaptive Selection of Face Foarse Degrees of Freedom in the BDDC and the FETI-DP Iterative Substructuring Methods Adaptive Selection of Face Foarse Degrees of Freedom in the BDDC and the FETI-DP Iterative Substructuring Methods (en)
skos:notation	RIV/68407700:21110/07:00188725!RIV12-MSM-21110___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(1ET400760509), Z(AV0Z20760514), Z(MSM6840770003)
http://linked.open...iv/cisloPeriodika	8
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Sousedík, Bedřich
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 stavební
http://linked.open...dnocenehoVysledku	408546
http://linked.open...ai/riv/idVysledku	RIV/68407700:21110/07:00188725
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Iterative substructuring, balancing domain decomposition, finite element tearing and interconnecting (en)
http://linked.open.../riv/klicoveSlovo	Iterative substructuring balancing domain decomposition finite element tearing and interconnecting
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[ABFF1C6D7B44]
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	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Research and development of parallel procedures for modeling continuum mechanics tasks, implementation and applications. Creating an e-learning tool.
http://linked.open...UplatneniVysledku	2007
http://linked.open...v/svazekPeriodika	196
http://linked.open...iv/tvurceVysledku	Mandel, J. Sousedík, Bedřich
http://linked.open...ain/vavai/riv/wos	000242920900005
http://linked.open...n/vavai/riv/zamer	Complex dynamical systems in thermodynamics, fluid and solid mechanics Rozvoj algoritmů počítačových simulací a jejich aplikace v inženýrství
issn	0045-7825
number of pages	11 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.cma.2006.03.010
http://localhost/t...ganizacniJednotka	21110
is http://linked.open...avai/riv/vysledek of	Adaptive Selection of Face Foarse Degrees of Freedom in the BDDC and the FETI-DP Iterative Substructuring Methods

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