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.
Convergence of the approximate free boundary for the multidimensional one-phase Stefan problem / P. Pietra, C. Verdi. - In: COMPUTATIONAL MECHANICS. - ISSN 0178-7675. - 1:2(1986), pp. 115-125. [10.1007/BF00277696]
Convergence of the approximate free boundary for the multidimensional one-phase Stefan problem
C. VerdiUltimo
1986
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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