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Comptes Rendus Mathématique
Volume 345, n° 9
pages 527-530 (novembre 2007)
Doi : 10.1016/j.crma.2007.10.002
Received : 3 June 2007 ;  accepted : 28 September 2007
Estimation de lʼerreur pour lʼinterpolation vectorielle par les div-rot splines sous tension
Error estimates for vectorial interpolating div-rot splines under tension
 

Mohammed-Najib Benbourhim a , Abderrahman Bouhamidi b
a Institut de mathématiques de Toulouse, Université Paul-Sabatier, 31062 Toulouse cedex 9, France 
b L.M.P.A, CNRS-FR2956, Université du littoral côte dʼopale, 50, rue F. Buisson, 62228 Calais cedex, France 

Résumé

On donne quelques résultats sur lʼestimation de lʼerreur et la convergence pour lʼinterpolation vectorielle de type div-rot sous tension de fonctions appartenant aux espaces vectoriels classiques de Sobolev dans un domaine borné à frontière lipschitzienne. Pour citer cet article : M.-N. Benbourhim, A. Bouhamidi, C. R. Acad. Sci. Paris, Ser. I 345 (2007).

The full text of this article is available in PDF format.
Abstract

In this Note, we give some results on error estimates and convergence for interpolation by div-rot spline under tension in the classical vectorial Sobolev space on an open bounded set with a Lipschitz-continuous boundary. To cite this article: M.-N. Benbourhim, A. Bouhamidi, C. R. Acad. Sci. Paris, Ser. I 345 (2007).

The full text of this article is available in PDF format.


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