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.References
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Additional Information
- Maxim A. Olshanskii
- Affiliation: Dept. Mechanics and Mathematics, Moscow State University, Moscow 119899, Russia
- MR Author ID: 343398
- Email: ay@olshan.msk.ru
- Arnold Reusken
- Affiliation: Institut für Geometrie und Praktische Mathematik, RWTH-Aachen, D-52056 Aachen, Germany
- MR Author ID: 147305
- Email: reusken@igpm.rwth-aachen.de
- Received by editor(s): November 7, 2001
- Received by editor(s) in revised form: March 5, 2003
- Published electronically: December 19, 2003
- © Copyright 2003 American Mathematical Society
- Journal: Math. Comp. 73 (2004), 1699-1718
- MSC (2000): Primary 65N30, 65N22, 76D07
- DOI: https://doi.org/10.1090/S0025-5718-03-01629-6
- MathSciNet review: 2059732