Non-Nested Multi-Level Solvers for Finite Element Discretisations of Mixed Problems |
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| Authors: | V John P Knobloch G Matthies L Tobiska |
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| Affiliation: | 1.Institut für Analysis und Numerik Otto-von-Guericke-Universit?t Magdeburg PF 4120, D-39016 Magdeburg Germany e-mails: john@mathematik.uni-magdeburg.de matthies@mathematik.uni-magdeburg.de tobiska@mathematik.uni-magdeburg.de,DE;2.Institute of Numerical Mathematics Faculty of Mathematics and Physics Charles University Sokolovská 83, 186 75 Praha 8 Czech Republic e-mail: knobloch@karlin.mff.cuni.cz,CZ |
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| 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.
Received May 17, 2001; revised February 2, 2002 Published online April 25, 2002 |
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| Keywords: | AMS Subject Classifications: 65N55 65N30 76D07 |
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