Semi-discrete finite difference multiscale scheme for a concrete corrosion model : approximation estimates and convergence

V. Chalupecky, A. Muntean

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Abstract

We propose a semi-discrete finite difference multiscale scheme for a concrete corrosion model consisting of a system of two-scale reaction-diffusion equations coupled with an ode. We prove energy and regularity estimates and use them to get the necessary compactness of the approximation estimates. Finally, we illustrate numerically the behavior of the two-scale finite difference approximation of the weak solution. Keywords: Multiscale reaction-diffusion equations; Two-scale finite difference method; Approximation of weak solutions; Convergence; Concrete corrosion
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages21
Publication statusPublished - 2011

Publication series

NameCASA-report
Volume1140
ISSN (Print)0926-4507

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