This paper is devoted to the numerical analysis of a multidimensional two-phase Stefan problem, with a non-linear flux condition on the fixed boundary; the enthalpy formulation is used. A numerical approach suggested by the theory of non-linear semigroup of contractions in L1 (Ω) is introduced; some converging algorithms based on the Crandall-Liggett formula and on the non-linear Chernoff formula are studied. The algebraic non-linear equations are solved by a modified Gauss-Seidel method. The results of several numerical tests are exhibited and discussed.
On the numerical approach to a two-phase Stefan problem with nonlinear flux / C. Verdi. - In: CALCOLO. - ISSN 0008-0624. - 22:3(1985), pp. 351-381.
Titolo: | On the numerical approach to a two-phase Stefan problem with nonlinear flux |
Autori: | VERDI, CLAUDIO (Primo) |
Settore Scientifico Disciplinare: | Settore MAT/08 - Analisi Numerica |
Data di pubblicazione: | 1985 |
Rivista: | |
Tipologia: | Article (author) |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/BF02600382 |
Appare nelle tipologie: | 01 - Articolo su periodico |