Fast Nonsymmetric Iterations and Preconditioning for Navier-Stokes Equations (1994)
| Venue: | SIAM J. Sci. Comput |
| Citations: | 56 - 8 self |
BibTeX
@ARTICLE{Elman94fastnonsymmetric,
author = {Howard Elman and David Silvester},
title = {Fast Nonsymmetric Iterations and Preconditioning for Navier-Stokes Equations},
journal = {SIAM J. Sci. Comput},
year = {1994},
volume = {17},
pages = {33--46}
}
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Abstract
Discretization and linearization of the steady-state Navier-Stokes equations gives rise to a nonsymmetric indefinite linear system of equations. In this paper, we introduce preconditioning techniques for such systems with the property that the eigenvalues of the preconditioned matrices are bounded independently of the mesh size used in the discretization. We confirm and supplement these analytic results with a series of numerical experiments indicating that Krylov subspace iterative methods for nonsymmetric systems display rates of convergence that are independent of the mesh parameter. In addition, we show that preconditioning costs can be kept small by using iterative methods for some intermediate steps performed by the preconditioner. * This work was supported by the U. S. Army Research Office under grant DAAL-0392-G0016 and the U. S. National Science Foundation under grant ASC-8958544 at the University of Maryland, and the Science and Engineering Research Council of Great Britain V...
