Free access article

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. Mainguy<sup>1

1</sup>  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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