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Reports (Research Report) Year : 1993

Convergence analysis of a multi-level relaxation method

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.

Domains

Other [cs.OH]
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Dates and versions

inria-00074788 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00074788 , version 1

Cite

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