Abstract
ABSTRACT This paper presents an overview of different iterative methods Conjugate gradient (CG), Biconjugate gradient (BICG), conjugate gradient squared (CGS), Biconjugate gradient stabilized (BICGSTAB), transpose-free quasi minimal residual (TFQMR), full orthogonal method (FOM) et Generalized minimal residual (GMRES) for solving finite element systems of Navier-Stokes incompressible flows. To accelerate convergence of those methods, preconditionner based on incomplete Gauss factorisation (ILU) is used. The accent is put on the necessity to renumber the unknowns to guaranty the convergence of the iterative methods. The importance of a variable stop criterion of iterative methods for each Newton-Raphson step is underlined.
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