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A new relaxed splitting preconditioner for the generalized saddle point problems from the incompressible Navier–Stokes equations

Journal Article · · Computational and Applied Mathematics
;  [1]
  1. Fujian Normal University, School of Mathematics and Computer Science & FJKLMAA (China)

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.

OSTI ID:
22769376
Journal Information:
Computational and Applied Mathematics, Journal Name: Computational and Applied Mathematics Journal Issue: 1 Vol. 37; ISSN 0101-8205
Country of Publication:
United States
Language:
English

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