Semi-discrete finite difference multiscale scheme for a concrete corrosion model: approximation estimates and convergence
Vladimı́r Chalupecký, Adrian Muntean · Kyushu University Institutional Repository (QIR) (Kyushu University) · 2011
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.