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|
VERDI, CLAUDIO (Primo)
|Settore Scientifico Disciplinare:||Settore MAT/08 - Analisi Numerica|
|Data di pubblicazione:||1985|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1007/BF02600382|
|Appare nelle tipologie:||01 - Articolo su periodico|