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Convergence analysis of a multi-level relaxation method

Hervé Guillard 1
1 SINUS - Numerical Simulation for the Engineering Sciences
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : We analyse a multi-level method based on successive projections of descent directions into vector spaces os smaller dimensions than the original space. We first show that the original space can be splitted into a direct sum (in the sense of the energy norm) of n+1 orthogonal spaces where n is the number of levels. Using this result, we then show that the convergence properties of this method are identical to the convergence properties of more classical multigrid methods.
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https://hal.inria.fr/inria-00074788
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Submitted on : Wednesday, May 24, 2006 - 4:21:24 PM
Last modification on : Friday, February 4, 2022 - 3:17:20 AM
Long-term archiving on: : Sunday, April 4, 2010 - 9:42:01 PM

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  • HAL Id : inria-00074788, version 1

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Hervé Guillard. Convergence analysis of a multi-level relaxation method. [Research Report] RR-1884, INRIA. 1993. ⟨inria-00074788⟩

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