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Description
  • We verify functional a posteriori error estimate for obstacle problem proposed by Repin. Simplification into 1D allows for the construction of a nonlinear benchmark for which an exact solution of the obstacle problem can be derived. Quality of a numerical approximation obtained by the finite element method is compared with the exact solution and the error of approximation is bounded from above by a majorant error estimate. The sharpness of the majorant error estimate is discussed.
  • We verify functional a posteriori error estimate for obstacle problem proposed by Repin. Simplification into 1D allows for the construction of a nonlinear benchmark for which an exact solution of the obstacle problem can be derived. Quality of a numerical approximation obtained by the finite element method is compared with the exact solution and the error of approximation is bounded from above by a majorant error estimate. The sharpness of the majorant error estimate is discussed. (en)
Title
  • Verification of functional a posteriori error estimates for an obstacle problem in 1D
  • Verification of functional a posteriori error estimates for an obstacle problem in 1D (en)
skos:prefLabel
  • Verification of functional a posteriori error estimates for an obstacle problem in 1D
  • Verification of functional a posteriori error estimates for an obstacle problem in 1D (en)
skos:notation
  • RIV/61989100:27740/13:86087880!RIV14-MSM-27740___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(ED1.1.00/02.0070), P(EE.2.3.20.0070)
http://linked.open...iv/cisloPeriodika
  • 5
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 113887
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  • RIV/61989100:27740/13:86087880
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • obstacle problem, finite element method, a posteriori error estimates (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [516CE14B3127]
http://linked.open...i/riv/nazevZdroje
  • Kybernetika
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 49
http://linked.open...iv/tvurceVysledku
  • Harasim, Petr
  • Valdman, Jan
http://linked.open...ain/vavai/riv/wos
  • 000328665200005
issn
  • 0023-5954
number of pages
http://localhost/t...ganizacniJednotka
  • 27740
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