Continuous Analysis of the Additive Schwarz Method: a Stable Decomposition in $H^1$ - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2010

Continuous Analysis of the Additive Schwarz Method: a Stable Decomposition in $H^1$

Résumé

The classical convergence result for the additive Schwarz preconditioner with coarse grid is based on a stable decomposition. The result holds for discrete versions of the Schwarz preconditioner, and states that the preconditioned operator has a uniformly bounded condition number that depends only on the number of colors of the domain decomposition, and the ratio between the average diameter of the subdomains and the overlap width.
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Dates et versions

hal-00462006 , version 1 (09-03-2010)
hal-00462006 , version 2 (16-05-2011)
hal-00462006 , version 3 (10-02-2012)

Identifiants

  • HAL Id : hal-00462006 , version 1

Citer

Martin J. Gander, Laurence Halpern, Kévin Santugini-Repiquet. Continuous Analysis of the Additive Schwarz Method: a Stable Decomposition in $H^1$. 2010. ⟨hal-00462006v1⟩
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