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A. Sedaghat, AN INVESTIGATION INTO PRECONDITIONING ITERATIVE SOLVERS FOR HYDRODYNAMIC PROBLEMS, Iranian Journal of Science & Technology, Transaction B, Engineering, Vol. 31, No. B4, pp 395-405, 2007

Iranian Journal of Science & Technology, Transaction B, Engineering, Vol. 31, No. B4, pp 395-405
Printed in The Islamic Republic of Iran, 2007
 
AN INVESTIGATION INTO PRECONDITIONING ITERATIVE
SOLVERS FOR HYDRODYNAMIC PROBLEMS*
 
A. SEDAGHAT**
 
Dept. of Mechanical Engineering, Isfahan University of Techno1ogy, Isfahan, 84156-83111, I. R. of Iran
 
 
Abstract– Two Krylov subspace iterative methods, GMRES and QMR, were studied in
conjunction with several preconditioning techniques for solving the linear system raised from the
finite element discretisation of incompressible Navier-Stokes equations for hydrodynamic
problems. The preconditioning methods under investigation were the incomplete factorisation
methods such as ILU(0) and MILU, the Stokes preconditioner, and the Elman-Silvester block
triangular preconditioner. It is observed that the GMRES solver with the Elman-Silvester
preconditioner provides faster convergence than the other methods studied here.
 
Keywords– Krylov subspace, Navier-Stokes, preconditioned iterative methods, finite element
 
 
Journal Papers
Month/Season: 
February
Year: 
2007