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.
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Received May 17, 2001; revised February 2, 2002 Published online April 25, 2002
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John, V., Knobloch, P., Matthies, G. et al. Non-Nested Multi-Level Solvers for Finite Element Discretisations of Mixed Problems. Computing 68, 313–341 (2002). https://doi.org/10.1007/s00607-002-1444-2
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DOI: https://doi.org/10.1007/s00607-002-1444-2