About: Parallel implementation of Multilevel BDDC

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	In application of the Balancing Domain Decomposition by Constraints (BDDC) to a case with many substructures, solving the coarse problem exactly becomes the bottleneck which spoils scalability of the solver. However, it is straightforward for BDDC to substitute the exact solution of the coarse problem by another step of BDDC method with subdomains playing the role of elements. In this way, the algorithm of three-level BDDC method is obtained. If this approach is applied recursively, multilevel BDDC method is derived. We present a detailed description of a recently developed parallel implementation of this algorithm. The implementation is applied to an engineering problem of linear elasticity and a benchmark problem of Stokes flow in a cavity. Results by the multilevel approach are compared to those by the standard (two-level) BDDC method. In application of the Balancing Domain Decomposition by Constraints (BDDC) to a case with many substructures, solving the coarse problem exactly becomes the bottleneck which spoils scalability of the solver. However, it is straightforward for BDDC to substitute the exact solution of the coarse problem by another step of BDDC method with subdomains playing the role of elements. In this way, the algorithm of three-level BDDC method is obtained. If this approach is applied recursively, multilevel BDDC method is derived. We present a detailed description of a recently developed parallel implementation of this algorithm. The implementation is applied to an engineering problem of linear elasticity and a benchmark problem of Stokes flow in a cavity. Results by the multilevel approach are compared to those by the standard (two-level) BDDC method. (en)
Title	Parallel implementation of Multilevel BDDC Parallel implementation of Multilevel BDDC (en)
skos:prefLabel	Parallel implementation of Multilevel BDDC Parallel implementation of Multilevel BDDC (en)
skos:notation	RIV/68407700:21220/13:00215774!RIV14-MSM-21220___
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GA106/08/0403), P(IAA100760702), P(LH11004)
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Burda, Pavel
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	95295
http://linked.open...ai/riv/idVysledku	RIV/68407700:21220/13:00215774
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	parallel algorithms; domain decomposition; iterative substructuring; multilevel BDDC (en)
http://linked.open.../riv/klicoveSlovo	multilevel BDDC parallel algorithms domain decomposition iterative substructuring
http://linked.open...ontrolniKodProRIV	[7CDD8A90877C]
http://linked.open...v/mistoKonaniAkce	Leicester
http://linked.open...i/riv/mistoVydani	Heidelberg
http://linked.open...i/riv/nazevZdroje	Numerical Mathematics and Advanced Applications 2011
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (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 Domain Decomposition Methods
http://linked.open...UplatneniVysledku	2013
http://linked.open...iv/tvurceVysledku	Mandel, J. Sousedík, B. Šístek, Jakub Burda, Pavel
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2011-09-05 (xsd:date)
number of pages	9 (xsd:int)
http://bibframe.org/vocab/doi	10.1007/978-3-642-33134-3_72
http://purl.org/ne...btex#hasPublisher	Springer-Verlag
https://schema.org/isbn	978-3-642-33133-6
http://localhost/t...ganizacniJednotka	21220

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