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  • V článku je studována dvouúrovňová diskretizační metoda pro řešení vlastních čísel. Metoda diskretizuje úlohu na hrubé síti a řešení získané na této úrovni %22zhlazuje%22 lineárním krokem na jemné síti. Získané přibližné řešení má asymptotickou přesnost Galerkinova řešení. V článku je zkoumán vztah této metody k metodě iterovaného vektoru (iterované Galerkinově metodě). Jsou získány odhady chyb pro nesymetrickou úlohu. (cs)
  • A two-level discretization method for eigenvalue problems is studied. Compared to the standard Galerkin finite element discretization technique performed on a fine guid this method discretizes the eigenvalue problem on a coarse grid and ostains an improved eigenvector (eigenvalue) approximation by solving only a linear problem on the fine grid ( or two linear problems for the case of eigenvalue approximation of nonsymmetric problems). The improved solution has the asymptotic accuracy of the Galerkin discretization solution. The link between the method and the iterated Galerkin method is established. Error estimates for the general nonsymmetric case are devided.
  • A two-level discretization method for eigenvalue problems is studied. Compared to the standard Galerkin finite element discretization technique performed on a fine guid this method discretizes the eigenvalue problem on a coarse grid and ostains an improved eigenvector (eigenvalue) approximation by solving only a linear problem on the fine grid ( or two linear problems for the case of eigenvalue approximation of nonsymmetric problems). The improved solution has the asymptotic accuracy of the Galerkin discretization solution. The link between the method and the iterated Galerkin method is established. Error estimates for the general nonsymmetric case are devided. (en)
Title
  • A two-level method for nonsymmetric eigenvalue problems
  • Dvouúrovňová metoda řešení nesymetrických úloh vlastních čísel (cs)
  • A two-level method for nonsymmetric eigenvalue problems (en)
skos:prefLabel
  • A two-level method for nonsymmetric eigenvalue problems
  • Dvouúrovňová metoda řešení nesymetrických úloh vlastních čísel (cs)
  • A two-level method for nonsymmetric eigenvalue problems (en)
skos:notation
  • RIV/67985840:_____/05:00023138!RIV06-AV0-67985840
http://linked.open.../vavai/riv/strany
  • 1;12
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(IAA1019201), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika
  • 1
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
  • 511136
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/05:00023138
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • eigenvalue problems; finite elements; postprocessing (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CN - Čínská lidová republika
http://linked.open...ontrolniKodProRIV
  • [46F2488A8ABD]
http://linked.open...i/riv/nazevZdroje
  • Acta Mathematicae Applicatae Sinica
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...v/svazekPeriodika
  • 21
http://linked.open...iv/tvurceVysledku
  • Kolman, Karel
http://linked.open...n/vavai/riv/zamer
issn
  • 0168-9673
number of pages
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