Pearson, John and Pestana, Jennifer and Silvester, David (2016) Refined saddle-point preconditioners for discretized Stokes problems. [MIMS Preprint]
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Abstract
This paper is concerned with the implementation of efficient solution algorithms for elliptic problems with constraints. We establish theory that shows that including a simple scaling within well-established block diagonal preconditioners for Stokes problems can result in significantly faster convergence when applying the preconditioned MINRES method. The codes used in the numerical studies are available online.
Item Type: | MIMS Preprint |
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Uncontrolled Keywords: | Stokes equations, stabilization, saddle-point systems, preconditioning, inf-sup condition |
Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis |
Depositing User: | professor david silvester |
Date Deposited: | 26 Jan 2016 |
Last Modified: | 20 Oct 2017 14:13 |
URI: | https://eprints.maths.manchester.ac.uk/id/eprint/2433 |
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