Eigenvalue bounds for the Schur complement with a pressure convection-diffusion preconditioner in incompressible flow computations
type: Item
instance of: scholarly article
title: Eigenvalue bounds for the Schur complement with a pressure convection-diffusion preconditioner in incompressible flow computations
zbMATH Open document ID: 1190.76150
author: Paul Deuring
published in: Journal of Computational and Applied Mathematics
publication date: 2009-05-28T00:00:00Z
review text: When the stationary Navier-Stokes system is discretized in space by a mixed finite element method or an implicit time discretization of the corresponding evolution problem is linearized via a Picard iteration, a saddle point system arises which might be solved by Krylov subspace methods or by an Uzawa-type approach. For each of these methods it is necessary to precondition the Schur complement associated to the saddle point problem in question. Here the author finds upper and lower bounds on the eigenvalues of this Schur complement under the assumption that it is preconditioned by a pressure convection-diffusion matrix.
reviewed by: Lyonell Boulton
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65F15
zbMATH DE Number: 5559069
zbMATH Keywords: non-symmetric saddle point problem
zbMATH Keywords: finite element method
zbMATH Keywords: Navier-Stokes equations
MaRDI profile type: Publication
full work available at URL: j.cam.2008.10.017
OpenAlex ID: W1968385147
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DOI: 10.1016/J.CAM.2008.10.017
description: scientific article; zbMATH DE number 5559069