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Journal article
Block preconditioning for saddle point systems with indefinite (1, 1) block
International journal of computer mathematics, Vol.84(8), pp.1117-1129
08/2007
Web of Science ID: WOS:000249136700002
Abstract
We investigate the solution of linear systems of saddle point type with an indefinite (1, 1) block by preconditioned iterative methods. Our main focus is on block matrices arising from eigenvalue problems in incompressible fluid dynamics. A block triangular preconditioner based on an augmented Lagrangian formulation is shown to result in fast convergence of the GMRES iteration for a wide range of problem and algorithm parameters. Some theoretical estimates for the eigenvalues of the preconditioned matrices are given. Inexact variants of the preconditioner are also considered.
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Details
- Title
- Block preconditioning for saddle point systems with indefinite (1, 1) block
- Publication Details
- International journal of computer mathematics, Vol.84(8), pp.1117-1129
- Resource Type
- Journal article
- Publisher
- Taylor & Francis
- Number of pages
- 13
- Copyright
- © 2007, Taylor & Francis
- Identifiers
- WOS:000249136700002; 99381814267606600
- Academic Unit
- Mathematics and Statistics; Hal Marcus College of Science and Engineering
- Language
- English