## Convergence of the approximate free boundary for the multidimensional one-phase Stefan problem.(English)Zbl 0622.65126

This work concerns the numerical approximation of a one-phase multidimensional Stefan problem. The discretization considered consists of piecewise-linear finite elements in space and backward-differences in time. An error estimate for the discrete free boundary is obtained.
Reviewer: P.-L.Lions

### MSC:

 65Z05 Applications to the sciences 65N15 Error bounds for boundary value problems involving PDEs 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 35K05 Heat equation 80A17 Thermodynamics of continua 35R35 Free boundary problems for PDEs
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### References:

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