Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-23T03:17:53.426Z Has data issue: false hasContentIssue false
  • English
  • Français

Une méthode nodale appliquée à un problème de diffusionà 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. 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.
Get access

Abstract

In this paper, we consider second order neutrons diffusion problem withcoefficients 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 coefficientsappear. The rate of convergence obtained is O(h2) in L 2(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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)