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FIELD-OF-VALUES CONVERGENCE ANALYSIS OF AUGMENTED LAGRANGIAN PRECONDITIONERS FOR THE LINEARIZED NAVIER-STOKES PROBLEM.
- Source :
-
SIAM Journal on Numerical Analysis . 2011, Vol. 49 Issue 1/2, p770-788. 19p. - Publication Year :
- 2011
-
Abstract
- We study a block triangular preconditioner for finite element approximations of the linearized Navier-Stokes equations. The preconditioner is based on the augmented Lagrangian formulation of the problem and was introduced by the authors in [SIAM J. Sci. Comput., 28 (2006), pp. 2095-2113]. In this paper we prove field-of-values type estimates for the preconditioned system which lead to optimal convergence bounds for the GMRES algorithm applied to solve the system. Two variants of the preconditioner are considered: an ideal one based on exact solves for the velocity submatrix, and a more practical variant based on block triangular approximations of the velocity submatrix. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00361429
- Volume :
- 49
- Issue :
- 1/2
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Numerical Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 65055588
- Full Text :
- https://doi.org/10.1137/100806485