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Une méthode nodale appliquée à un problème de diffusion à coefficients généralisés

Published online by Cambridge University Press:  15 August 2002

Abdelkader Laazizi
Affiliation:
Faculté des Sciences Dhar-Mehraz, Fès, U.F.R. de Mathématiques Appliquées, Laboratoire d'Analyse Numérique, B.P. 1796 Fès-Atlas, Maroc. laazizi@yahoo.com.
Nagib Guessous
Affiliation:
Faculté des Sciences Dhar-Mehraz, Fès, U.F.R. de Mathématiques Appliquées, Laboratoire d'Analyse Numérique, B.P. 1796 Fès-Atlas, Maroc. laazizi@yahoo.com.
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Abstract

In this paper, we consider second order neutrons diffusion problem with coefficients in L(Ω). Nodal method of the lowest order is applied to approximate the problem's solution. The approximation uses special basis functions [1] in which the coefficients appear. The rate of convergence obtained is O(h2) in L2(Ω), with a free rectangular triangulation.

Type
Research Article
Copyright
© EDP Sciences, SMAI, 1999

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