A new relaxed splitting preconditioner for the generalized saddle point problems from the incompressible Navier–Stokes equations
Abstract
Based on the modified relaxed splitting (MRS) preconditioner proposed by Fan and Zhu (Appl Math Lett 55:18–26, 2016), a new relaxed splitting preconditioner is proposed for the generalized saddle point problems arising from the incompressible Navier–Stokes equations. The eigenvalue distribution and an upper bound of the degree of the minimal polynomial of the preconditioned matrix are analyzed. Numerical results show that the proposed preconditioner is superior to the MRS preconditioner when they are used as preconditioners to accelerate the convergence rate of the Krylov subspace methods, such as GMRES.
 Authors:

 Fujian Normal University, School of Mathematics and Computer Science & FJKLMAA (China)
 Publication Date:
 OSTI Identifier:
 22769376
 Resource Type:
 Journal Article
 Journal Name:
 Computational and Applied Mathematics
 Additional Journal Information:
 Journal Volume: 37; Journal Issue: 1; Other Information: Copyright (c) 2018 SBMAC  Sociedade Brasileira de Matemática Aplicada e Computacional; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 01018205
 Country of Publication:
 United States
 Language:
 English
 Subject:
 97 MATHEMATICAL METHODS AND COMPUTING; EIGENVALUES; MATRICES; NAVIERSTOKES EQUATIONS; POLYNOMIALS
Citation Formats
Ke, YiFen, and Ma, ChangFeng. A new relaxed splitting preconditioner for the generalized saddle point problems from the incompressible Navier–Stokes equations. United States: N. p., 2018.
Web. doi:10.1007/S4031401603571.
Ke, YiFen, & Ma, ChangFeng. A new relaxed splitting preconditioner for the generalized saddle point problems from the incompressible Navier–Stokes equations. United States. doi:10.1007/S4031401603571.
Ke, YiFen, and Ma, ChangFeng. Thu .
"A new relaxed splitting preconditioner for the generalized saddle point problems from the incompressible Navier–Stokes equations". United States. doi:10.1007/S4031401603571.
@article{osti_22769376,
title = {A new relaxed splitting preconditioner for the generalized saddle point problems from the incompressible Navier–Stokes equations},
author = {Ke, YiFen and Ma, ChangFeng},
abstractNote = {Based on the modified relaxed splitting (MRS) preconditioner proposed by Fan and Zhu (Appl Math Lett 55:18–26, 2016), a new relaxed splitting preconditioner is proposed for the generalized saddle point problems arising from the incompressible Navier–Stokes equations. The eigenvalue distribution and an upper bound of the degree of the minimal polynomial of the preconditioned matrix are analyzed. Numerical results show that the proposed preconditioner is superior to the MRS preconditioner when they are used as preconditioners to accelerate the convergence rate of the Krylov subspace methods, such as GMRES.},
doi = {10.1007/S4031401603571},
journal = {Computational and Applied Mathematics},
issn = {01018205},
number = 1,
volume = 37,
place = {United States},
year = {2018},
month = {3}
}
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