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

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

2011-06-24

arxiv.org/abs/1106.4894v1

Mathematics

Numerical Analysis

22 pages, 1 figure, submitted to Japan Journal of Industrial and Applied Mathematics

Scientific paper

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.

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