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A penalty algorithm for the spectral element discretization of the Stokes problem*

  • Christine Bernardi (a1), Adel Blouza (a2), Nejmeddine Chorfi (a3) and Nizar Kharrat (a4)

Abstract

The penalty method when applied to the Stokes problem provides a very efficient algorithm for solving any discretization of this problem since it gives rise to a system of two equations where the unknowns are uncoupled. For a spectral or spectral element discretization of the Stokes problem, we prove a posteriori estimates that allow us to optimize the penalty parameter as a function of the discretization parameter. Numerical experiments confirm the interest of this technique.

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Keywords

A penalty algorithm for the spectral element discretization of the Stokes problem*

  • Christine Bernardi (a1), Adel Blouza (a2), Nejmeddine Chorfi (a3) and Nizar Kharrat (a4)

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