Abstract
The variational inequality arising from the one-phase multidimensional Stefan problem is discretized by piecewise-linear finite elements in space and by backward-differences in time. Error estimates for the discrete free boundary at each time-step are proved.
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Communicated by F. Brezzi and S. N. Atluri, August 1, 1985
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Pietra, P., Verdi, C. Convergence of the approximate free boundary for the multidimensional one-phase Stefan problem. Computational Mechanics 1, 115–125 (1986). https://doi.org/10.1007/BF00277696
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DOI: https://doi.org/10.1007/BF00277696