A nearly optimal preconditioner for the Navier-Stokes equations
                    
                        
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منابع مشابه
A nearly optimal preconditioner for the Navier-Stokes equations
We present a preconditioner for the linearised Navier-Stokes equations which is based on the combination of a fast transform approximation of an advection diiusion problem together with the recently introduced`BF B T ' resulting preconditioner when combined with an appropriate Krylov subspace iteration method yields the solution in a number of iterations which appears to be independent of the R...
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A relaxed splitting preconditioner based on matrix splitting is introduced in this paper for linear systems of saddle point problem arising from numerical solution of the incompressible NavierStokes equations. Spectral analysis of the preconditioned matrix is presented, and numerical experiments are carried out to illustrate the convergence behavior of the preconditioner for solving both steady...
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An incomplete augmented Lagrangian preconditioner, for the steady incompressible Navier-Stokes equations discretized by stable finite elements, is proposed. The eigenvalues of the preconditioned matrix are analyzed. Numerical experiments show that the incomplete augmented Lagrangian-based preconditioner proposed is very robust and performs quite well by the Picard linearization or the Newton li...
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Article history: Received 23 March 2009 Received in revised form 2 August 2010 Accepted 9 August 2010 Available online 19 August 2010
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Local preconditioning for the Navier-Stokes equations may be called optimal if it equalizes all propagation and dissipation time-scales, for all combinations of Mach number and Reynolds number. Previously designed preconditioners are ineffective for certain combinations of low Reynolds number and low Mach number; in addition some of these create a growing mode, making the PDE-system unstable. (...
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ژورنال
عنوان ژورنال: Numerical Linear Algebra with Applications
سال: 2001
ISSN: 1070-5325
DOI: 10.1002/nla.239