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diffusion problem

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Une méthode nodale appliquée à un problème de diffusionà coefficients généralisés
Abdelkader Laazizi, Nagib Guessous
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 33 / Issue 5 / September 1999

Published online by Cambridge University Press:

15 August 2002, pp. 989-1002

Print publication:

September 1999
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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.