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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  and
Nagib Guessous
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. [email protected].
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. [email protected].
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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.

Keywords

Nodal methodsdiffusion problemrough coefficients.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 33 , Issue 5 , September 1999 , pp. 989 - 1002
Copyright
© EDP Sciences, SMAI, 1999

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