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The Stefan problem with moving boundary

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Author(s): M. A. Rincon | A. Scardua

Journal: Boletim da Sociedade Paranaense de Matemática
ISSN 0037-8712

Volume: 26;
Issue: 1-2;
Start page: 91;
Date: 2008;
Original page

Keywords: Stefan Problem | Crank-Nicolson method | Moving Boundary | Finite Element Method.

ABSTRACT
A mathematical model of the linear thermodynamic equations with moving ends, based on the Stefan Problem is considered. In this work, we are interested in obtaining existence, uniqueness and regularity using the Faedo-Galerkin method. For numerical solutions, we shall employ the finite element method together with the Crank-Nicolson method. A numerical experiment is presented to show the moving boundary for the problem.
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