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Statements

Subject Item
n2:RIV%2F68407700%3A21110%2F07%3A00188725%21RIV12-MSM-21110___
rdf:type
skos:Concept n15:Vysledek
dcterms: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.
dcterms: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
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
skos:notation
RIV/68407700:21110/07:00188725!RIV12-MSM-21110___
n3:aktivita
n6:P n6:Z
n3:aktivity
P(1ET400760509), Z(AV0Z20760514), Z(MSM6840770003)
n3:cisloPeriodika
8
n3:dodaniDat
n10:2012
n3:domaciTvurceVysledku
n11:9318674
n3:druhVysledku
n19:J
n3:duvernostUdaju
n7:S
n3:entitaPredkladatele
n16:predkladatel
n3:idSjednocenehoVysledku
408546
n3:idVysledku
RIV/68407700:21110/07:00188725
n3:jazykVysledku
n18:eng
n3:klicovaSlova
Iterative substructuring, balancing domain decomposition, finite element tearing and interconnecting
n3:klicoveSlovo
n13:balancing%20domain%20decomposition n13:Iterative%20substructuring n13:finite%20element%20tearing%20and%20interconnecting
n3:kodStatuVydavatele
NL - Nizozemsko
n3:kontrolniKodProRIV
[ABFF1C6D7B44]
n3:nazevZdroje
Computer Methods in Applied Mechanics and Engineering
n3:obor
n12:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:projekt
n8:1ET400760509
n3:rokUplatneniVysledku
n10:2007
n3:svazekPeriodika
196
n3:tvurceVysledku
Sousedík, Bedřich Mandel, J.
n3:wos
000242920900005
n3:zamer
n4:AV0Z20760514 n4:MSM6840770003
s:issn
0045-7825
s:numberOfPages
11
n20:doi
10.1016/j.cma.2006.03.010
n9:organizacniJednotka
21110