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Statements

Subject Item
n2:RIV%2F68407700%3A21220%2F13%3A00215774%21RIV14-MSM-21220___
rdf:type
n10:Vysledek skos:Concept
dcterms: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.
dcterms:title
Parallel implementation of Multilevel BDDC Parallel implementation of Multilevel BDDC
skos:prefLabel
Parallel implementation of Multilevel BDDC Parallel implementation of Multilevel BDDC
skos:notation
RIV/68407700:21220/13:00215774!RIV14-MSM-21220___
n10:predkladatel
n23:orjk%3A21220
n4:aktivita
n14:P n14:I
n4:aktivity
I, P(GA106/08/0403), P(IAA100760702), P(LH11004)
n4:dodaniDat
n13:2014
n4:domaciTvurceVysledku
n8:5240018
n4:druhVysledku
n12:D
n4:duvernostUdaju
n20:S
n4:entitaPredkladatele
n16:predkladatel
n4:idSjednocenehoVysledku
95295
n4:idVysledku
RIV/68407700:21220/13:00215774
n4:jazykVysledku
n5:eng
n4:klicovaSlova
parallel algorithms; domain decomposition; iterative substructuring; multilevel BDDC
n4:klicoveSlovo
n7:parallel%20algorithms n7:domain%20decomposition n7:multilevel%20BDDC n7:iterative%20substructuring
n4:kontrolniKodProRIV
[7CDD8A90877C]
n4:mistoKonaniAkce
Leicester
n4:mistoVydani
Heidelberg
n4:nazevZdroje
Numerical Mathematics and Advanced Applications 2011
n4:obor
n21:BA
n4:pocetDomacichTvurcuVysledku
1
n4:pocetTvurcuVysledku
4
n4:projekt
n17:GA106%2F08%2F0403 n17:IAA100760702 n17:LH11004
n4:rokUplatneniVysledku
n13:2013
n4:tvurceVysledku
Sousedík, B. Burda, Pavel Mandel, J. Šístek, Jakub
n4:typAkce
n18:WRD
n4:zahajeniAkce
2011-09-05+02:00
s:numberOfPages
9
n19:doi
10.1007/978-3-642-33134-3_72
n15:hasPublisher
Springer-Verlag
n3:isbn
978-3-642-33133-6
n6:organizacniJednotka
21220