Abstract | ||
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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. |
Year | DOI | Venue |
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2004 | 10.1090/S0025-5718-03-01629-6 | MATHEMATICS OF COMPUTATION |
Keywords | Field | DocType |
Stokes equations,finite elements,augmented Lagrangian,inexact Uzawa | Convergence (routing),Mathematical optimization,Mathematical analysis,Finite element solution,Viscosity,Finite element method,Augmented Lagrangian method,Mathematics | Journal |
Volume | Issue | ISSN |
73 | 248 | 0025-5718 |
Citations | PageRank | References |
35 | 3.98 | 7 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Maxim A. Olshanskii | 1 | 326 | 42.23 |
Arnold Reusken | 2 | 305 | 44.91 |