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Error estimates for finite element method solution of the Stokes problem in the primitive variables

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Summary

In this paper we derive error estimates for a class of finite element approximation of the Stokes equation. These elements, popular among engineers, are conforming lagrangian both in velocity and pressure and therefore based on a mixed variational principle. The error estimates are established from a new Brezzi-type inequality for this kind of mixed formulation. The results are true in 2 or 3 dimensions.

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Authors and Affiliations

  1. School of Applied Sciences, University of Jerusalem, Givat Ram, Israel

    M. Bercovier

  2. IRIA-LABORIA, 78150, Le Chesnay, France

    O. Pironneau

Authors
  1. M. Bercovier
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  2. O. Pironneau
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Bercovier, M., Pironneau, O. Error estimates for finite element method solution of the Stokes problem in the primitive variables. Numer. Math. 33, 211–224 (1979). https://doi.org/10.1007/BF01399555

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  • DOI: https://doi.org/10.1007/BF01399555

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