Summary
The solution of the Stokes problem is approximated by three stabilized mixed methods, one due to Hughes, Balestra, and Franca and the other two being variants of this procedure. In each case the bilinear form associated with the saddle-point problem of the standard mixed formulation is modified to become coercive over the finite element space. Error estimates are derived for each procedure.
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Dedicated to Ivo Babuška on the occasion of his sixtieth birthday
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Brezzi, F., Douglas, J. Stabilized mixed methods for the Stokes problem. Numer. Math. 53, 225–235 (1988). https://doi.org/10.1007/BF01395886
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DOI: https://doi.org/10.1007/BF01395886