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Description
  • We propose a new local projection stabilization (LPS) finite element method for convection-diffusion-reaction equations. The discretization contains a crosswind diffusion term which depends on the unknown discrete solution in a nonlinear way. Consequently, the resulting method is nonlinear. Solvability of the nonlinear problem is established and an a priori error estimate in the LPS norm is proved. Numerical results show that the nonlinear crosswind diffusion term leads to a reduction of spurious oscillations.
  • We propose a new local projection stabilization (LPS) finite element method for convection-diffusion-reaction equations. The discretization contains a crosswind diffusion term which depends on the unknown discrete solution in a nonlinear way. Consequently, the resulting method is nonlinear. Solvability of the nonlinear problem is established and an a priori error estimate in the LPS norm is proved. Numerical results show that the nonlinear crosswind diffusion term leads to a reduction of spurious oscillations. (en)
Title
  • A nonlinear local projection stabilization for convection-diffusion-reaction equations
  • A nonlinear local projection stabilization for convection-diffusion-reaction equations (en)
skos:prefLabel
  • A nonlinear local projection stabilization for convection-diffusion-reaction equations
  • A nonlinear local projection stabilization for convection-diffusion-reaction equations (en)
skos:notation
  • RIV/00216208:11320/13:10132931!RIV14-GA0-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • I, P(GA201/08/0012), Z(MSM0021620839)
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
  • 58869
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/13:10132931
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • convection-diffusion-reaction equations; error estimates; solvability; nonlinear local projection stabilization (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [A8D336B308A2]
http://linked.open...v/mistoKonaniAkce
  • Leicester, United Kingdom
http://linked.open...i/riv/mistoVydani
  • Berlin, Heidelberg
http://linked.open...i/riv/nazevZdroje
  • Numerical Mathematics and Advanced Applications 2011
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
  • John, Volker
  • Knobloch, Petr
  • Barrenechea, Gabriel R.
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/978-3-642-33134-3_26
http://purl.org/ne...btex#hasPublisher
  • Springer-Verlag
https://schema.org/isbn
  • 978-3-642-33133-6
http://localhost/t...ganizacniJednotka
  • 11320
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