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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. (cs)
  • 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. (en)
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 (en)
  • Efektivní FETI implementace citlivostní analýzy pro úlohy ve tvaru variačních nerovností (cs)
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 (en)
  • Efektivní FETI implementace citlivostní analýzy pro úlohy ve tvaru variačních nerovností (cs)
skos:notation
  • RIV/61989100:27240/07:00015043!RIV08-GA0-27240___
http://linked.open.../vavai/riv/strany
  • 286-294
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA101/05/0423)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 419356
http://linked.open...ai/riv/idVysledku
  • RIV/61989100:27240/07:00015043
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Contact shape optimization; sensitivity analysis; domain decomposition; scalable algorithms (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [E6B4FEA80005]
http://linked.open...i/riv/mistoVydani
  • Soul
http://linked.open...i/riv/nazevZdroje
  • 7th World Congress on Structural and Multidisciplinary Optimization
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Dostál, Zdeněk
  • Horák, David
  • Vondrák, Vít
number of pages
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  • Intenational Society fo Structural and Multidisciplinary Optimization
https://schema.org/isbn
  • 978-89-959384-2-3
http://localhost/t...ganizacniJednotka
  • 27240
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