99-13
A Comparison of Three Solvers for the Incompressible Navier--Stokes Equations
by John V.; Matthies G.; Mitkova T.I.; Tobiska L.; Vassilevski P.S.
Preprint series: 99-13, Preprints
The paper is published: Large-Scle Scientific Computations of Engineering and Environmental Problems II, ed. by M. Griebel et al., Notes on Numerical Fluid Mechanics. v. 73, 215 - 222, Vieweg-Verlag, 2000
- MSC:
- 65N22 Solution of discretized equations, See also {65Fxx, 65Hxx}
- 65N55 Multigrid methods; domain decomposition
Abstract: Three solvers for saddle point problems arising from the linearization and discretization of the steady state incompressible Navier--Stokes equations are numerically studied. The numerical tests are based on nonconforming finite element approximations of lowest order in two--dimensional domains using isotropic meshes. The investigated solvers are coupled multigrid methods with Vanka--type smoothers, flexible GMRES with a block--diagonal preconditioner proposed by Vassilevski and Lazarov (1996), and flexible GMRES with a coupled preconditioner which is based on an algebraic multigrid method.
Keywords: incompressible Navier-Stokes equations, coupled multigrid methods, preconditioned flexible GMRES, algebraic multigrid methods
Notes: to appear in : Proceedings of the 2nd Workshop of \'Large-Scale Computations\', Sozopol 1999
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