Semi-discrete finite difference multiscale scheme for a concrete corrosion model: approximation estimates and convergence
This work provides a numerical method and theoretical guarantees for simulating concrete corrosion, which is relevant for civil engineering applications.
The authors develop a semi-discrete finite difference multiscale scheme for a concrete corrosion model and prove approximation estimates and convergence. Numerical experiments illustrate the behavior of the scheme.
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.