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Verdi, C.

On the numerical approach to a two-phase Stefan problem with nonlinear flux. (English) Zbl 0612.65084

Calcolo 22, 351-381 (1985).
A multidimensional two-phase Stefan problem is treated. The convergence of some numerical algorithms based on the Crandall-Liggett formula and the non-linear Chernoff formula is studied. Several numerical results which illustrate the theoretical observations are given.
Reviewer: N.Praagman

Cited in 10 Documents

MSC:

65Z05 Applications to the sciences
65N22 Numerical solution of discretized equations for boundary value problems involving PDEs
35K20 Initial-boundary value problems for second-order parabolic equations
80A17 Thermodynamics of continua
35R35 Free boundary problems for PDEs
65H10 Numerical computation of solutions to systems of equations

Keywords:

Gauss-Seidel; numerical example; two-phase Stefan problem; convergence; Crandall-Liggett formula; Chernoff formula
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\textit{C. Verdi}, Calcolo 22, 351--381 (1985; Zbl 0612.65084)
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References:

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