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Bramble, J. H.; Pasciak, J. E.

Iterative techniques for time dependent Stokes problems. (English) Zbl 1030.76506

Comput. Math. Appl. 33, No. 1-2, 13-30 (1997).
The paper is concerned with numerical solution of the coupled systems of discrete equations resulting from implicit time stepping procedures for the linearized Navier- Stokes problem. As spatial discretization the authors use a mixed finite element method. They build preconditioners which give rise to iterative rates of convergence that are independent of both the mesh size as well as time step and Reynolds number parameter.
Reviewer: C.I.Gheorghiu (Cluj-Napoca)

Cited in 40 Documents

MSC:

76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids

Keywords:

Stokes problems; preconditioned iteration; mixed approximation; pressure operator
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References:

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