Abstract
We present in this paper various iterative methods for the solution of large linear and non-linear systems resulting from the discretization of the generalized Stokes problem. A second-order (O(h2)) P2-P1 mixed finite element is used for the approximation of the velocity and the pressure. Solution strategies based on conjugate gradient-like methods, the Uzawa's and Arrow–Hurwicz's methods are presented. Schur complement methods are also explored in the context of a hierarchical decomposition of the velocity field. The ever present preconditioning problem is also addressed. The performance of these iterative methods will be discussed on complex flows of industrial interest. Copyright © 2004 John Wiley & Sons, Ltd.
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