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A modified positive-definite and skew-Hermitian splitting preconditioner for generalized saddle point problems from the Navier-Stokes equation

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Abstract

In this paper, we extend the relaxed positive-definite and skew-Hermitian splitting preconditioner (RPSS) for generalized saddle-point problems in [J.-L. Zhang, C.-Q. Gu and K. Zhang, Appl. Math. Comput. 249(2014)468-479] by introducing an additional parameter. The spectral properties of the presented new preconditioned matrix for generalized saddle-point problem are investigated, meanwhile, the infinite termination merit of the iterative step is also discussed if the Krylov subspace method preconditioned by the modified positive-definite and skew-Hermitian splitting preconditioner (MPSS) is applied. Some numerical experiments illustrate that the efficiency of the proposed new preconditioner.

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Authors and Affiliations

  1. Department of Mathematics and Physics, Fujian Jiangxia University, Fuzhou, 350108, China

    Ya-Jun Xie

  2. School of Mathematics and Computer Science, Fujian Normal University, Fuzhou, 350117, China

    Chang-Feng Ma

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  1. Ya-Jun Xie
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  2. Chang-Feng Ma
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Correspondence to Chang-Feng Ma.

Additional information

The Project Supported by National Natural Science Foundation of China (Grant Nos.11071041,11201074), Fujian Natural Science Foundation (Grant No.2013J01006, 2015J01578).

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Xie, YJ., Ma, CF. A modified positive-definite and skew-Hermitian splitting preconditioner for generalized saddle point problems from the Navier-Stokes equation. Numer Algor 72, 243–258 (2016). https://doi.org/10.1007/s11075-015-0043-1

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  • DOI: https://doi.org/10.1007/s11075-015-0043-1

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