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  • We investigate the Korn first inequality for quadrilateral nonconforming finite elements of first order approximation properties and clarify the dependence of the constant in this inequality on the discretization parameter h. Then we use the nonconforming elements for approximating the velocity in a discretization of the Stokes equations with boundary conditions involving surface forces and, using the result on the Korn inequality, we prove error estimates which are optimal for the pressure and suboptimal for the velocity.
  • We investigate the Korn first inequality for quadrilateral nonconforming finite elements of first order approximation properties and clarify the dependence of the constant in this inequality on the discretization parameter h. Then we use the nonconforming elements for approximating the velocity in a discretization of the Stokes equations with boundary conditions involving surface forces and, using the result on the Korn inequality, we prove error estimates which are optimal for the pressure and suboptimal for the velocity. (en)
  • Vyšetřujeme první Kornovu nerovnost pro čtyřúhelníkové nekonformní konečné prvky s aproximačními vlastnostmi prvního řádu a vyjasňujeme závislost konstanty v této nerovnosti na diskretizačním parametru h. Potom aproximujeme nekonformními prvky rychlost v diskretizaci Stokesových rovnic s okrajovými podmínkami zahrnujícími povrchové síly a, použitím výsledku o Kornově nerovnosti, dokazujeme odhady chyb, které jsou optimální pro tlak a suboptimální pro rychlost. (cs)
Title
  • On Korn's first inequality for quadrilateral nonconforming finite elements of first order approximation properties
  • O Kornově nerovnosti pro čtyřúhelníkové nekonformní konečné prvky s aproximačními vlastnostmi prvního řádu (cs)
  • On Korn's first inequality for quadrilateral nonconforming finite elements of first order approximation properties (en)
skos:prefLabel
  • On Korn's first inequality for quadrilateral nonconforming finite elements of first order approximation properties
  • O Kornově nerovnosti pro čtyřúhelníkové nekonformní konečné prvky s aproximačními vlastnostmi prvního řádu (cs)
  • On Korn's first inequality for quadrilateral nonconforming finite elements of first order approximation properties (en)
skos:notation
  • RIV/00216208:11320/05:00000876!RIV06-MSM-11320___
http://linked.open.../vavai/riv/strany
  • 439;458
http://linked.open...avai/riv/aktivita
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  • P(GA201/05/0005), Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika
  • 4
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http://linked.open...aciTvurceVysledku
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  • 534361
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  • RIV/00216208:11320/05:00000876
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http://linked.open.../riv/klicovaSlova
  • Korn's; first; inequality; quadrilateral; nonconforming; finite; elements; first; order; approximation; properties (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [90DBE4DB1050]
http://linked.open...i/riv/nazevZdroje
  • International Journal of Numerical Analysis and Modeling
http://linked.open...in/vavai/riv/obor
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http://linked.open...v/svazekPeriodika
  • 2
http://linked.open...iv/tvurceVysledku
  • Knobloch, Petr
http://linked.open...n/vavai/riv/zamer
issn
  • 0894-3370
number of pages
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  • 11320
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