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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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.


Pearson, John W., Pestana, Jennifer ORCID logoORCID: and Silvester, David J.;