On the Finite Element Approximation of $p$-Stokes Systems

  • Authors:
  • L. Belenki;L. C. Berselli;L. Diening;M. Ru˚žička

  • Affiliations:
  • belenki@mathematik.uni-freiburg.de and rose@mathematik.uni-freiburg.de;berselli@dma.unipi.it;Lars.Diening@mathematik.uni-muenchen.de;-

  • Venue:
  • SIAM Journal on Numerical Analysis
  • Year:
  • 2012

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Abstract

In this paper we study the finite element approximation of systems of $p$-Stokes type for $p \in (1,\infty)$. We derive (in some cases optimal) error estimates for finite element approximation of the velocity and for the pressure in a suitable functional setting. The results are supported by numerical experiments.