A parabolic transmission problem with Ventcel'-type boundary conditions on a prefractal mixture Koch-type interface is studied. Regularity results for the solution are proved. The numerical approximation of the problem is considered, and optimal a priori error estimates of the order of convergence are obtained.
"Heat-flow problems across fractal mixtures: regularity results of the solutions and numerical approximation." Differential Integral Equations 26 (9/10) 1027 - 1054, September/October 2013. https://doi.org/10.57262/die/1372858560