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Block Preconditioners Based on Approximate Commutators

2006
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SIAM Journal on Scientific Computing
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This paper introduces a strategy for automatically generating a block preconditioner for solving the incompressible Navier-Stokes equations. We consider the "pressure convectiondiffusion preconditioners" proposed by Kay, Loghin, and Wathen [SIAM J. Sci. Comput., 24 (2002), pp. 237-256] and Silvester, Elman, Kay, and Wathen [J. Comput. Appl. Math., 128 (2001), pp. 261-279]. Numerous theoretical and numerical studies have demonstrated mesh independent convergence on several problems and the

doi:10.1137/040608817
fatcat:pbqlhdmwrzh55jrxrw7zjt5hk4