Refined saddle-point preconditioners for discretized Stokes problems

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
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: http://eprints.maths.manchester.ac.uk/id/eprint/2433

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