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 effectiveness of the proposed preconditioners for a wide range of problem parameters. Implementation on parallel architectures is also considered. The AL-based approach is further generalized to deal with linear systems from stabilized finite element discretizations. © 2010 John Wiley & Sons, Ltd.

Modified augmented Lagrangian preconditioners for the incompressible Navier-Stokes equations

Benzi, Michele;
2011

Abstract

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 effectiveness of the proposed preconditioners for a wide range of problem parameters. Implementation on parallel architectures is also considered. The AL-based approach is further generalized to deal with linear systems from stabilized finite element discretizations. © 2010 John Wiley & Sons, Ltd.
2011
Augmented Lagrangian method; Krylov subspace methods; Oseen problem; Parallel computing; Preconditioning; Saddle-point problems; Computational Mechanics; Mechanics of Materials; Mechanical Engineering; Computer Science Applications1707 Computer Vision and Pattern Recognition; Applied Mathematics
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/75254
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