Numerical Algorithms

, Volume 75, Issue 4, pp 1103–1121 | Cite as

An inexact modified relaxed splitting preconditioner for the generalized saddle point problems from the incompressible Navier-Stokes equations

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Abstract

Based on the modified relaxed splitting (MRS) preconditioner proposed by Fan and Zhu (Appl. Math. Lett. 55, 18–26 2016), an inexact modified relaxed splitting (IMRS) preconditioner is proposed for the generalized saddle point problems arising from the incompressible Navier-Stokes equations. The eigenvalues and eigenvectors of the preconditioned matrix are analyzed, and the convergence property of the corresponding iteration method is also discussed. Numerical experiments are presented to show the effectiveness of the proposed preconditioner when it is used to accelerate the convergence rate of Krylov subspace methods such as GMRES.

Keywords

Generalized saddle point problem Relaxed splitting Eigenvalue Preconditioner Navier-Stokes equation 

Mathematics Subject Classification (2010)

65F08 65F10 65F50 
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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.School of Mathematics and Computer Science and FJKLMAAFujian Normal UniversityFuzhouPeople’s Republic of China

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