Summary
In this paper we suggest the use of complete families of solutions of the heat equation for the numerical solution of the inverse Stefan problem. Our approach leads to linear optimization problems which can be established and solved easily. Convergence results are proved. In a final section the method is applied to some examples.
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Reemtsen, R., Kirsch, A. A method for the numerical solution of the one-dimensional inverse Stefan problem. Numer. Math. 45, 253–273 (1984). https://doi.org/10.1007/BF01389470
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DOI: https://doi.org/10.1007/BF01389470