Grad-div stablilization for Stokes equations

Olshanskii, Maxim; Reusken, Arnold

doi:10.1090/S0025-5718-03-01629-6

Grad-div stablilization for Stokes equations
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by Maxim A. Olshanskii and Arnold Reusken PDF

Math. Comp. 73 (2004), 1699-1718 Request permission

Abstract:

In this paper a stabilizing augmented Lagrangian technique for the Stokes equations is studied. The method is consistent and hence does not change the continuous solution. We show that this stabilization improves the well-posedness of the continuous problem for small values of the viscosity coefficient. We analyze the influence of this stabilization on the accuracy of the finite element solution and on the convergence properties of the inexact Uzawa method.

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