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Statements

Subject Item
n2:RIV%2F61989100%3A27240%2F07%3A00015043%21RIV08-GA0-27240___
rdf:type
skos:Concept n15:Vysledek
dcterms:description
Výpočetně nejdražší částí optimalizačního procesu se jeví citlivostní analýza. Tyto vysoké náklady jsou způsobené opakujícím se řešením obdobných úloh jako je stavový problém. Z tohoto důvodu byla navržene tzv. semi-analytická metoda, která znovu využívá stejné matice tuhosti v průběhu citlivostní analýzy, přičemž se mění pouze vektor zatížení a kontaktní podmínky v případě kontaktní tvarové optimalizace. FETI metoda přizpůsobená pro řešení variačních nerovnic se jeví jako velmi efektivní pro řešení takových úloh. The most expensive part of a design optimization process appears to be a sensitivity analysis. The high cost is caused by the repeating solution of the problems similar to the state problem for each design variable. Therefore it was proposed so called semi-analytical method which reuses the same stiffness matrix during sensitivity analysis changing only load vector and the constraints in the case of contact shape optimization problems. The FETI methods adopted to the solution of variational inequalities turn out to be very efficient for the solution of such the problems. The standard FETI requires effective identification of the free rigid body modes of the subdomains. We propose Total FETI algorithm which prescribes also the Dirichlet boundary conditions by the Lagrange multipliers, so that it each subdomain has the same, a priori known rigid body modes. The most expensive part of a design optimization process appears to be a sensitivity analysis. The high cost is caused by the repeating solution of the problems similar to the state problem for each design variable. Therefore it was proposed so called semi-analytical method which reuses the same stiffness matrix during sensitivity analysis changing only load vector and the constraints in the case of contact shape optimization problems. The FETI methods adopted to the solution of variational inequalities turn out to be very efficient for the solution of such the problems. The standard FETI requires effective identification of the free rigid body modes of the subdomains. We propose Total FETI algorithm which prescribes also the Dirichlet boundary conditions by the Lagrange multipliers, so that it each subdomain has the same, a priori known rigid body modes.
dcterms:title
Efficient FETI implementation of sensitivity analysis for problems governed by variational inequalities Efficient FETI implementation of sensitivity analysis for problems governed by variational inequalities Efektivní FETI implementace citlivostní analýzy pro úlohy ve tvaru variačních nerovností
skos:prefLabel
Efficient FETI implementation of sensitivity analysis for problems governed by variational inequalities Efficient FETI implementation of sensitivity analysis for problems governed by variational inequalities Efektivní FETI implementace citlivostní analýzy pro úlohy ve tvaru variačních nerovností
skos:notation
RIV/61989100:27240/07:00015043!RIV08-GA0-27240___
n4:strany
286-294
n4:aktivita
n5:P
n4:aktivity
P(GA101/05/0423)
n4:dodaniDat
n18:2008
n4:domaciTvurceVysledku
n13:7610173 n13:5021391 n13:9411577
n4:druhVysledku
n12:D
n4:duvernostUdaju
n16:S
n4:entitaPredkladatele
n11:predkladatel
n4:idSjednocenehoVysledku
419356
n4:idVysledku
RIV/61989100:27240/07:00015043
n4:jazykVysledku
n9:eng
n4:klicovaSlova
Contact shape optimization; sensitivity analysis; domain decomposition; scalable algorithms
n4:klicoveSlovo
n10:domain%20decomposition n10:Contact%20shape%20optimization n10:scalable%20algorithms n10:sensitivity%20analysis
n4:kontrolniKodProRIV
[E6B4FEA80005]
n4:mistoVydani
Soul
n4:nazevZdroje
7th World Congress on Structural and Multidisciplinary Optimization
n4:obor
n14:BA
n4:pocetDomacichTvurcuVysledku
3
n4:pocetTvurcuVysledku
3
n4:projekt
n7:GA101%2F05%2F0423
n4:rokUplatneniVysledku
n18:2007
n4:tvurceVysledku
Vondrák, Vít Horák, David Dostál, Zdeněk
s:numberOfPages
9
n8:hasPublisher
Intenational Society fo Structural and Multidisciplinary Optimization
n20:isbn
978-89-959384-2-3
n17:organizacniJednotka
27240