Abstract
We consider two different time discretization algorithms for a nonlinear parabolic PDE arising in heat conduction phenomena with phase changes in two adjoining bodies Ω and Γ, where Γ can be considered as the boundary of Ω. Stability, convergence and error estimate results are given for both algorithms.
Sommario
Si studiano due algoritmi di discretizzazione nel tempo di un sistema di equazioni a derivate parziali non lineari paraboliche che governa la conduzione del calore, in presenza di cambiamento di fase, in due corpi congiunti Ω e Γ, di cui Γ possa essere considerato come la frontiera di Ω, Vengono dati risultati di stabilità, convergenza e maggiorazione dell'errore per entrambi gli algoritmi.
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Magenes, E., Verdi, C. Time discretization schemes for the Stefan problem in a concentrated capacity. Meccanica 28, 121–128 (1993). https://doi.org/10.1007/BF01020324
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DOI: https://doi.org/10.1007/BF01020324