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Some fast 3D finite element solvers for the generalized Stokes problem. (English) Zbl 0665.76038
This paper is devoted to a comparison of various iterative solvers for the Stokes problem, based on the preconditioned Uzawa approach. In the first section the basic equations and general results of gradient-like methods are recalled. Then a new class of preconditioners, whose optimality will be shown, is introduced. In the last section numerical experiments and comparisons with multigrid methods prove the quality of these schemes, whose discretization is detailed.

MSC:
76D07 Stokes and related (Oseen, etc.) flows
76M99 Basic methods in fluid mechanics
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