Geodesic
The use of linear approximation scheme for solving the Stefan problem
Applications of Mathematics, Tome 42 (1997) no. 1, pp. 35-56.

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This paper deals with the linear approximation scheme to approximate a singular parabolic problem: the two-phase Stefan problem on a domain consisting of two components with imperfect contact. The results of some numerical experiments and comparisons are presented. The method was used to determine the temperature of steel in the process of continuous casting.
DOI : 10.1023/A:1022240626467
Classification : 35K05, 35R35, 65M20, 65M30, 65N30, 65Z05, 80A20, 80A22
Keywords: heat equation; Stefan problem; phase change; Rothe method; moving boundary value problem; imperfect contact; solidification of steel; numerical example 
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     title = {The use of linear approximation scheme for solving the {Stefan} problem},
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Dzurenda, Peter. The use of linear approximation scheme for solving the Stefan problem. Applications of Mathematics, Tome 42 (1997) no. 1, pp. 35-56. doi : 10.1023/A:1022240626467. http://geodesic.mathdoc.fr/articles/10.1023/A:1022240626467/

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