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penalty algorithm

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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A penalty algorithm for the spectral element discretization of the Stokes problem *
Christine Bernardi, Adel Blouza, Nejmeddine Chorfi, Nizar Kharrat
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 45 / Issue 2 / March 2011

Published online by Cambridge University Press:

02 August 2010, pp. 201-216

Print publication:

March 2011
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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.