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GSTS-Uzawa method for a class of complex singular saddle point problems

Journal Article · · Computational and Applied Mathematics
;  [1]
  1. Shaanxi Normal University, College of Mathematics and Information Science (China)
In this paper, we propose GSTS–Uzawa method for solving a class of complex singular saddle point problems based on generalized skew-Hermitian triangular splitting (GSTS) iteration method and classical Uzawa method. We research on its semi-convergence properties and the eigenvalues distributions of its preconditioned matrix. The resulting GSTS–Uzawa preconditioner is used to precondition Krylov subspace methods such as the restarted generalized minimal residual (GMRES) method for solving the equivalent formulation of the complex singular saddle point problems. The theoretical results and effectiveness of the GSTS–Uzawa method are supported by a numerical example.
OSTI ID:
22769266
Journal Information:
Computational and Applied Mathematics, Journal Name: Computational and Applied Mathematics Journal Issue: 3 Vol. 37; ISSN 0101-8205
Country of Publication:
United States
Language:
English

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