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Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 2
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Original Articles

Interior maximum norm estimates for finite element discretizations of the Stokes equations

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Pages 251-260 | Received 30 Nov 2006, Accepted 01 Dec 2006, Published online: 22 Feb 2007

References

  • Arnold , DN and Liu , X . 1995 . Local error estimates for finite element discretizations of the Stokes equations . Mathematical Modelling and Numerical Analysis , 29 : 367 – 389 .
  • Babuška , I , Strouboulis , T , Upadhyay , CS and Gangaraj , SK . 1996 . Computer-based proof of the existence of superconvergence points in the finite element method; superconvergence of the derivatives in finite element solutions of Laplace's, Poisson's, and the elasticity equations . Numerical Methods for Partial Differential Equations , 12 : 347 – 392 .
  • Bramble , J , Nitsche , J and Schatz , A . 1975 . Maximum-norm interior estimates for Ritz–Galerkin methods . Mathematics of Computation , 29 : 677 – 688 .
  • Duran , R , Nochetto , R and Wang , J . 1988 . Sharp maximum norm estimates for finite element approximations for the Stokes problem in 2-d . Mathematics of Computation , 51 : 491 – 506 .
  • Girault , V and Raviart , PA . 1986 . Finite Element Methods for the Navier Stokes Equations , New York : Springer-Verlag .
  • Nitsche , J and Schatz , A . 1974 . Interior estimates for Ritz–Galerkin methods . Mathematics of Computation , 28 : 937 – 958 .
  • Wahlbin , L . 1995 . Superconvergence in Galerkin Finite Element Methods , New York : Springer-Verlag .

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