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On a dual formulation for the growing sandpile problem

Published online by Cambridge University Press:  01 April 2009

S. DUMONT  and
N. IGBIDA
S. DUMONT
Affiliation:
LAMFA, Université de Picardie Jules Verne, CNRS UMR 6140, 33, rue Saint-Leu, 80 039 Amiens, France email: serge.dumont@u-picardie.fr, noureddine.igbida@u-picardie.fr
N. IGBIDA
Affiliation:
LAMFA, Université de Picardie Jules Verne, CNRS UMR 6140, 33, rue Saint-Leu, 80 039 Amiens, France email: serge.dumont@u-picardie.fr, noureddine.igbida@u-picardie.fr
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Abstract

In this paper, we are interested in the mathematical and numerical study of the Prigozhin model for a growing sandpile. Based on implicit Euler discretization in time, we give a simple improvement of theoretical and numerical analyses of the dual formulation for the problem. By using this model, we also give some application to the Monge–Kantorovich problem for optimal mass transportation.

Type
Papers
Information
European Journal of Applied Mathematics , Volume 20 , Issue 2 , April 2009 , pp. 169 - 185
Copyright
Copyright © Cambridge University Press 2008

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