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Refined saddle-point preconditioners for discretized Stokes problems

Pearson, John W. and Pestana, Jennifer and Silvester, David J. (2018) Refined saddle-point preconditioners for discretized Stokes problems. Numerische Mathematik, 138 (2). pp. 331-363. ISSN 0029-599X

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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.