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Issue ESAIM: Proc.
Volume 6, 1999
Actes du 30ème Congrès d'Analyse Numérique : CANum'98
Page(s) 41 - 55
DOI http://dx.doi.org/10.1051/proc:1999045

ESAIM: Proc., 1999, Vol. 6, pp. 41-55
DOI: 10.1051/proc:1999045

Instantaneous and noninstantaneous dissolution: approximation by the finite volume method

R. Eymard1, T. Gallouët2, R. Herbin2, D. Hilhorst3 and M. Mainguy1

1  Ecole Nationale des Ponts et Chaussées, Champs-sur-Marne, France
2  Université de Provence, Marseille, France
3  Université Paris-Sud, Orsay, France


Abstract
This paper is devoted to the study of finite volume schemes for nonlinear dissolution-diffusion equations. The approximate solution is shown to converge to the continuous one, which is also shown to converge in the limit of instantaneous dissolution. The scheme is applied to the interpretation of an experiment of leaching of cement concrete.



© EDP Sciences, ESAIM 1999


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