Summary
A nonlinear approximation technique for the numerical solution of certain free boundary problems is proposed. The method is shown for a degenerate one-dimensional Stefan problem. For this problem, an error estimate, which is independent of the used algorithm, is derived. Numerical examples are discussed.
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This paper was written when the author held a 1 1/2 year postdoctoral position at the Department of Mathematics and Applied Mathematics Institute of the University of Delaware
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Reemtsen, R., Lozano, C.J. An approximation technique for the numerical solution of a Stefan problem. Numer. Math. 38, 141–154 (1982). https://doi.org/10.1007/BF01395813
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DOI: https://doi.org/10.1007/BF01395813