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Zbl 1164.65398
Li, C.; Vuik, C.
Eigenvalue analysis of the SIMPLE preconditioning for incompressible flow. (English)
[J] Numer. Linear Algebra Appl. 11, No. 5-6, 511-523 (2004). ISSN 1070-5325; ISSN 1099-1506/e

Summary: An eigenvalue analysis of the SIMPLE preconditioning for an incompressible flow is presented. Some formulations are set up to characterize the spectrum of the preconditioned matrix. This leads to a generalized eigenvalue problem. The generalized eigenvalue problem is investigated. Some eigenvalue bounds and the estimation for the spectral condition number in the symmetric case are given. Numerical tests are reported to illustrate the theoretical discussions.

MSC 2000:: *65F35 Matrix norms, etc. (numerical linear algebra)
65F10 Iterative methods for linear systems
76D05 Navier-Stokes equations (fluid dynamics)

Keywords: SIMPLE preconditioner; spectral analysis; incompressible Navier Stokes equation; generalized eigenvalue problem; eigenvalue bounds; condition number; numerical tests

Cited in: Zbl 1244.76094

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