A FETI method with a mesh independent condition number for the iteration matrix
Résumé
We introduce a framework for FETI methods using ideas from the decomposition via Lagrange multipliers of H10 (Ω) derived by Raviart-Thomas[22] and complemented with the detailed work on polygonal domains developed by Grisvard [17]. We compute the action of the Lagrange multipliers using the natural H1/200 scalar product, therefore no consistency error appears. As a byproduct, we obtain that the condition number for the iteration matrix is independent of the mesh size and there is no need for preconditioning.This result improves the standard asymptotic bound for this condition number shown by Mandel-Tezaur in [19]. Numerical results that confirm our theoretical analysis are presented.
Domaines
Analyse numérique [math.NA]
Origine : Fichiers produits par l'(les) auteur(s)
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