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 / Cefalo, Massimo; Lancia, Maria Rosaria; H., Liang. - In: DIFFERENTIAL AND INTEGRAL EQUATIONS. - ISSN 0893-4983. - STAMPA. - 26:9-10(2013), pp. 1027-1054.
Heat-flow problems across fractal mixtures: Regularity results of the solutions and numerical approximation
CEFALO, Massimo;LANCIA, Maria Rosaria;
2013
Abstract
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.File allegati a questo prodotto
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