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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.

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Authors and Affiliations

  1. School of Mathematics and Computer Science and FJKLMAA, Fujian Normal University, Fuzhou, 350117, People’s Republic of China

    Yi-Fen Ke & Chang-Feng Ma

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  1. Yi-Fen Ke
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  2. Chang-Feng Ma
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Correspondence to Chang-Feng Ma.

Additional information

This work was supported by National Natural Science Foundation of China (Grant No. 11071041) and Fujian Natural Science Foundation (Grant Nos. 2015J01578, 2016J01005).

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Ke, YF., Ma, CF. An inexact modified relaxed splitting preconditioner for the generalized saddle point problems from the incompressible Navier-Stokes equations. Numer Algor 75, 1103–1121 (2017). https://doi.org/10.1007/s11075-016-0233-5

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  • DOI: https://doi.org/10.1007/s11075-016-0233-5

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