Modified augmented Lagrangian preconditioners for the incompressible Navier–Stokes equations

@inproceedings{Benzi2011ModifiedAL,
  title={Modified augmented Lagrangian preconditioners for the incompressible Navier–Stokes equations},
  author={Michele Benzi and Maxim A. Olshanskii and Zhen Wang},
  year={2011}
}
We study different variants of the augmented Lagrangian (AL)-based block-triangular preconditioner introduced by the first two authors in [SIAM J. Sci. Comput. 2006; 28: 2095–2113]. The preconditioners are used to accelerate the convergence of the Generalized Minimal Residual method (GMRES) applied to various finite element and Marker-and-Cell discretizations of the Oseen problem in two and three space dimensions. Both steady and unsteady problems are considered. Numerical experiments show the… CONTINUE READING
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