On the Stabilization of Finite Element Approximations of the Stokes Equations

  • F. Brezzi
  • J. Pitkäranta
Part of the Notes on Numerical Fluid Mechanics book series (NNFM, volume 10)


Consider finite element approximation of the Stokes equations. We present a systematic way of stabilizing it by adding bubble functions to the discrete velocity field. Another way of stabilization is also presented where the finite element spaces are kept unchanged but the discrete incompressibility condition is modified instead.


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Copyright information

© Springer Fachmedien Wiesbaden 1984

Authors and Affiliations

  • F. Brezzi
    • 1
  • J. Pitkäranta
    • 2
  1. 1.Dipartimento di Meccanica StrutturaleUniv. of Pavia and Institutio di Analisi Numerica del C.N.R.PaviaItaly
  2. 2.Institute of MathematicsHelsinki University of TechnologyEspoo 15Finland

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