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Statements

Subject Item
n2:RIV%2F68407700%3A21220%2F12%3A00201849%21RIV13-MSM-21220___
rdf:type
n11:Vysledek skos:Concept
dcterms: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.
dcterms:title
Some practical aspects of parallel adaptive BDDC method Some practical aspects of parallel adaptive BDDC method
skos:prefLabel
Some practical aspects of parallel adaptive BDDC method Some practical aspects of parallel adaptive BDDC method
skos:notation
RIV/68407700:21220/12:00201849!RIV13-MSM-21220___
n11:predkladatel
n15:orjk%3A21220
n3:aktivita
n17:P
n3:aktivity
P(GA106/08/0403), P(LH11004)
n3:dodaniDat
n6:2013
n3:domaciTvurceVysledku
n16:4611942
n3:druhVysledku
n9:D
n3:duvernostUdaju
n21:S
n3:entitaPredkladatele
n22:predkladatel
n3:idSjednocenehoVysledku
169219
n3:idVysledku
RIV/68407700:21220/12:00201849
n3:jazykVysledku
n5:eng
n3:klicovaSlova
adaptive constraints; BDDC; domain decomposition; iterative substructuring; jumps in coefficients
n3:klicoveSlovo
n8:domain%20decomposition n8:iterative%20substructuring n8:BDDC n8:adaptive%20constraints n8:jumps%20in%20coefficients
n3:kontrolniKodProRIV
[760DFEBFD102]
n3:mistoKonaniAkce
Praha
n3:mistoVydani
Praha
n3:nazevZdroje
Proceedings of the International Conference Applications of Mathematics 2012
n3:obor
n18:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
3
n3:projekt
n19:LH11004 n19:GA106%2F08%2F0403
n3:rokUplatneniVysledku
n6:2012
n3:tvurceVysledku
Šístek, Jakub Sousedík, B. Mandel, J.
n3:typAkce
n10:EUR
n3:zahajeniAkce
2012-05-02+02:00
s:numberOfPages
14
n4:hasPublisher
Matematický ústav AV ČR
n7:isbn
978-80-85823-60-8
n12:organizacniJednotka
21220