<b>The Stefan problem with moving boundary</b> - doi: 10.5269/bspm.v26i1-2.7412

Mauro Antonio Rincon; A. Scardua

doi:10.5269/bspm.v26i1-2.7412

Mauro Antonio Rincon Instituo de Matemática-Universidade Federal do Rio de Janeiro
A. Scardua

DOI: https://doi.org/10.5269/bspm.v26i1-2.7412

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 nite element method together with the Crank-Nicolson method. A numerical experiment is presented toshow the moving boundary for the problem.

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Author Biography

Mauro Antonio Rincon, Instituo de Matemática-Universidade Federal do Rio de Janeiro

Departamento de Ciência da Computação- Instituto de Matemática - Análise Numérica de EDP