Semi-discrete finite difference multiscale scheme for a concrete   corrosion model: approximation estimates and convergence
  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. 
Vladim\'ir Chalupeck\'y, Adrian Muntean
math.NA