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Description
  • Uvažujeme aplikaci nekonformního prvku P1mod na aproximaci rychlosti v nestlačitelných Stokesových a Navierových-Stokesových rovnicích. Dokazujeme stejnoměrnou platnost inf-sup podmínky, je-li tlak aproximován po částech konstantními funkcemi. Za dodatečných předpokladů též dokazujeme inf-sup podmínku pro nespojité po částech lineární aproximace tlaku. (cs)
  • We consider the application of the nonconforming P1mod element to the approximation of the velocity in the incompressible Stokes and Navier-Stokes equations. We prove the uniform validity of an inf-sup condition if the pressure is approximated by piecewise constant functions. Under additional assumptions, we also prove the inf-sup condition for discontinuous piecewise linear approximations of the pressure.
  • We consider the application of the nonconforming P1mod element to the approximation of the velocity in the incompressible Stokes and Navier-Stokes equations. We prove the uniform validity of an inf-sup condition if the pressure is approximated by piecewise constant functions. Under additional assumptions, we also prove the inf-sup condition for discontinuous piecewise linear approximations of the pressure. (en)
Title
  • On the application of the P1mod element to incompressible flow problems
  • On the application of the P1mod element to incompressible flow problems (en)
  • O aplikaci prvku P1mod na problémy nestlačitelného proudění (cs)
skos:prefLabel
  • On the application of the P1mod element to incompressible flow problems
  • On the application of the P1mod element to incompressible flow problems (en)
  • O aplikaci prvku P1mod na problémy nestlačitelného proudění (cs)
skos:notation
  • RIV/00216208:11320/04:00003442!RIV/2005/MSM/113205/N
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  • 4
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  • 577836
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  • RIV/00216208:11320/04:00003442
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  • application;P1mod;element;incompressible;problems (en)
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  • DE - Spolková republika Německo
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  • [AF34E6C2D96A]
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  • Computing and Visualization in Science
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  • 6
http://linked.open...iv/tvurceVysledku
  • Knobloch, Petr
http://linked.open...n/vavai/riv/zamer
issn
  • 1432-9360
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  • 11320
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