Refined saddle-point preconditioners for discretized Stokes problems

Pearson, John W., Pestana, Jennifer, Silvester, David J. (2017) Refined saddle-point preconditioners for discretized Stokes problems. Numerische Mathematik, 138 (2). pp. 331-363. ISSN 0029-599X. (doi:10.1007/s00211-017-0908-4) (KAR id:53811)

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Official URL: http://dx.doi.org/10.1007/s00211-017-0908-4

Abstract

This paper is concerned with the implementation of efficient solution algorithms for elliptic problems with constraints. We establish theory which 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:	Article
DOI/Identification number:	10.1007/s00211-017-0908-4
Subjects:	Q Science > QA Mathematics (inc Computing science) > QA297 Numerical analysis Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations
Institutional Unit:	Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences
Former Institutional Unit:	Applied Mathematics Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Funders:	Engineering and Physical Sciences Research Council (https://ror.org/0439y7842)
Depositing User:	John Pearson
Date Deposited:	20 Jan 2016 17:15 UTC
Last Modified:	22 Jul 2025 08:57 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/53811 (The current URI for this page, for reference purposes)

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Pearson, John W..

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