About: Some practical aspects of parallel adaptive BDDC method

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We describe a parallel implementation of the Balancing Domain Decomposition by Constraints (BDDC) method enhanced by an adaptive construction of coarse problem. The method is designed for numerically difficult problems, where standard choice of continuity of arithmetic averages across faces and edges of subdomains fails to maintain the low condition number of the preconditioned system. Problems of elasticity analysis of bodies consisting of different materials with rapidly changing stiffness may represent one class of such challenging problems. The adaptive selection of constraints is shown to significantly increase the robustness of the method for this class of problems. However, since the cost of the set-up of the preconditioner with adaptive constraints is considerably larger than for the standard choices, computational feasibility of the presented implementation is obtained only for large contrasts of material coefficients. We describe a parallel implementation of the Balancing Domain Decomposition by Constraints (BDDC) method enhanced by an adaptive construction of coarse problem. The method is designed for numerically difficult problems, where standard choice of continuity of arithmetic averages across faces and edges of subdomains fails to maintain the low condition number of the preconditioned system. Problems of elasticity analysis of bodies consisting of different materials with rapidly changing stiffness may represent one class of such challenging problems. The adaptive selection of constraints is shown to significantly increase the robustness of the method for this class of problems. However, since the cost of the set-up of the preconditioner with adaptive constraints is considerably larger than for the standard choices, computational feasibility of the presented implementation is obtained only for large contrasts of material coefficients. (en)
Title	Some practical aspects of parallel adaptive BDDC method Some practical aspects of parallel adaptive BDDC method (en)
skos:prefLabel	Some practical aspects of parallel adaptive BDDC method Some practical aspects of parallel adaptive BDDC method (en)
skos:notation	RIV/68407700:21220/12:00201849!RIV13-MSM-21220___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GA106/08/0403), P(LH11004)
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Šístek, Jakub
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
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	169219
http://linked.open...ai/riv/idVysledku	RIV/68407700:21220/12:00201849
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	adaptive constraints; BDDC; domain decomposition; iterative substructuring; jumps in coefficients (en)
http://linked.open.../riv/klicoveSlovo	BDDC domain decomposition iterative substructuring adaptive constraints jumps in coefficients
http://linked.open...ontrolniKodProRIV	[760DFEBFD102]
http://linked.open...v/mistoKonaniAkce	Praha
http://linked.open...i/riv/mistoVydani	Praha
http://linked.open...i/riv/nazevZdroje	Proceedings of the International Conference Applications of Mathematics 2012
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Development and parallelization of domain decomposition methods and application to nonlinear elasticity and material engineering Domain Decomposition Methods
http://linked.open...UplatneniVysledku	2012
http://linked.open...iv/tvurceVysledku	Mandel, J. Sousedík, B. Šístek, Jakub
http://linked.open...vavai/riv/typAkce	EUR - Evropská
http://linked.open.../riv/zahajeniAkce	2012-05-02 (xsd:date)
number of pages	14 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Matematický ústav AV ČR
https://schema.org/isbn	978-80-85823-60-8
http://localhost/t...ganizacniJednotka	21220

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