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.
@article{arxiv.1106.4894,
title = {Semi-discrete finite difference multiscale scheme for a concrete corrosion model: approximation estimates and convergence},
author = {Vladimír Chalupecký and Adrian Muntean},
journal= {arXiv preprint arXiv:1106.4894},
year = {2012}
}
Comments
22 pages, 1 figure, submitted to Japan Journal of Industrial and Applied Mathematics