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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