Heat-flow problems across fractal mixtures: regularity results of the solutions and numerical approximation
Massimo Cefalo, Maria Rosaria Lancia, Haodong Liang · Differential and Integral Equations · 2013
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.