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  • This paper describes the displacement decomposition for elasticity problems solved by the finite element method. This decomposition can be used for parallel implementation of the conjugate gradient solvers and construction of parallelisable preconditioners. Both the fixed and variable preconditioning can be applied according to the solution of subproblems. Numerical efficiency of the parallel alghorithms is demonstrated on an academic benchmark and real-life modelling problem. A comparison with a domain decomposition technique is also provided.
  • This paper describes the displacement decomposition for elasticity problems solved by the finite element method. This decomposition can be used for parallel implementation of the conjugate gradient solvers and construction of parallelisable preconditioners. Both the fixed and variable preconditioning can be applied according to the solution of subproblems. Numerical efficiency of the parallel alghorithms is demonstrated on an academic benchmark and real-life modelling problem. A comparison with a domain decomposition technique is also provided. (en)
  • Článek popisuje techniku rozložení oblasti pro problémy elasticity řešené metodou konečných prvků. Tuto dekompozici lze užít pro paralelní implementaci řešičů na bázi sdružených gradientů a konstrukci paralelizovatelných předpodmiňovačů. Je možno použít jak pevné, tak proměnné předpodmínění podle způsobu řešení podproblémů.Numerická efektivita paralelních algoritmů je předvedena na akademickém příkladu i modelu reálné situace. Je poskytnuto srovnání s technikou rozložení oblasti. (cs)
Title
  • Displacement decomposition and parallelisation of the PCG method for elasticity problems
  • Displacement decomposition and parallelisation of the PCG method for elasticity problems (en)
  • Rozložení posunutí a paralelizace metody PCG pro problémy elasticity (cs)
skos:prefLabel
  • Displacement decomposition and parallelisation of the PCG method for elasticity problems
  • Displacement decomposition and parallelisation of the PCG method for elasticity problems (en)
  • Rozložení posunutí a paralelizace metody PCG pro problémy elasticity (cs)
skos:notation
  • RIV/68145535:_____/05:00041517!RIV07-AV0-68145535
http://linked.open.../vavai/riv/strany
  • 183;191
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(IBS3086102), Z(AV0Z30860518)
http://linked.open...iv/cisloPeriodika
  • 2/3/4
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
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  • 518288
http://linked.open...ai/riv/idVysledku
  • RIV/68145535:_____/05:00041517
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • finite element method; preconditioned conjugate gradient method; displacement decomposition (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [1B5A866423B7]
http://linked.open...i/riv/nazevZdroje
  • International Journal of Computational Science and Engineering
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 1.
http://linked.open...iv/tvurceVysledku
  • Starý, Jiří
  • Blaheta, Radim
  • Jakl, Ondřej
http://linked.open...n/vavai/riv/zamer
issn
  • 1742-7185
number of pages
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