About: Regularity and FEM error estimates of viscous incompressible Stokes flow in polygonal domains near corners     Goto   Sponge   NotDistinct   Permalink

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  • V příspěvku se zabýváme analýzou Stokesova problému se smíšenými okrajovými podmínkami. V příspěvku jsou prezentovány výsledky regularity slabého řešení, které mají podstatný vliv při analýze odhadu chyby numerických metod, tj. regularita slabého řešení podstatně ovlivňuje rychlost konvergence metody MKP. Hlavním výsledkem je důkaz odhadu chyby konečně prvkové aproximace slabého řešení v rovinné polygonální oblasti. (cs)
  • In this paper, a stationary Stokes problem equipped with mixed boundary conditions in polygonal domain have been analyzed. The regularity results, which are presented, are important for an error analysis of numerical methods, i.e., the regularity of the weak solution has a great influence over the rates of convergence for finite element methods. The main result is the proof of error estimate for finite element approximation of the weak solution in polygonal domain.
  • In this paper, a stationary Stokes problem equipped with mixed boundary conditions in polygonal domain have been analyzed. The regularity results, which are presented, are important for an error analysis of numerical methods, i.e., the regularity of the weak solution has a great influence over the rates of convergence for finite element methods. The main result is the proof of error estimate for finite element approximation of the weak solution in polygonal domain. (en)
Title
  • Regularity and FEM error estimates of viscous incompressible Stokes flow in polygonal domains near corners
  • Regularity and FEM error estimates of viscous incompressible Stokes flow in polygonal domains near corners (en)
  • Regularita a odhad chyby MKP aproximace proudění viskózní nestlačitelné tekutiny v polygonální oblasti s rohovými body na hranici (cs)
skos:prefLabel
  • Regularity and FEM error estimates of viscous incompressible Stokes flow in polygonal domains near corners
  • Regularity and FEM error estimates of viscous incompressible Stokes flow in polygonal domains near corners (en)
  • Regularita a odhad chyby MKP aproximace proudění viskózní nestlačitelné tekutiny v polygonální oblasti s rohovými body na hranici (cs)
skos:notation
  • RIV/68407700:21110/06:01122077!RIV09-MSM-21110___
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  • RIV/68407700:21110/06:01122077
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  • Error estimates; FEM; Regularity (en)
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  • [4801F3C2213F]
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  • Beneš, Michal
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  • Vysoké učení technické v Brně. Fakulta stavební
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  • 21110
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