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Numerical approximation of a concrete carbonation model: Study of the t ‐law of propagation
Author(s) -
Zurek Antoine
Publication year - 2019
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.22377
Subject(s) - carbonation , boundary (topology) , finite volume method , computer simulation , scheme (mathematics) , mathematics , law , mechanics , numerical analysis , boundary value problem , mathematical analysis , physics , materials science , political science , composite material
In this paper, we are interested in the long time behavior of approximate solutions to a free boundary model which appears in the modeling of concrete carbonation [1]. In particular, we study the long time regime of the moving interface. The numerical solutions are obtained by an implicit in time and finite volume in space scheme. We show the existence of solutions to the scheme and, following [2‐3], we prove that the approximate free boundary increases in time following at ‐law. Finally, we supplement the study through numerical experiments.