CALCOLO

, Volume 22, Issue 3, pp 351–381

On the numerical approach to a two-phase stefan problem with non-linear flux

  • C. Verdi
Article

DOI: 10.1007/BF02600382

Cite this article as:
Verdi, C. Calcolo (1985) 22: 351. doi:10.1007/BF02600382

Abstract

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.

Copyright information

© Instituto di Elaborazione della Informazione del CNR 1985

Authors and Affiliations

  • C. Verdi
    • 1
  1. 1.Dipartimento di Meccanica StrutturaleUniversità di PaviaPaviaItalia