01-11
NON-NESTED MULTI-LEVEL SOLVERS FOR FINITE ELEMENT DISCRETISATIONS OF MIXED PROBLEMS
by John, V; Knobloch, P.; Matthies, G.; Tobiska, L.
Preprint series: 01-11, Preprints
- MSC:
- 65N55 Multigrid methods; domain decomposition
- 65N30 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
- 76D07 Stokes flows
Abstract: We consider a general framework for analysing the convergence of multi-grid solvers applied to finite element discretisations of mixed problems, both of conforming and nonconforming type. As a basic new feature, our approach allows to use different finite element discretisations on each level of the multi-grid hierarchy. Thus, in our multi-level approach, accurate higher order finite element discretisations can be combined with fast multi-level solvers based on lower order (nonconforming) finite element discretisations. This leads to the design of efficient multi-level solvers for higher order finite element discretisations.
Keywords: Multi-level method, finite element discretisation, mixed problems, Stokes problem
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