Theoretical Framework of a Variational Formulation for Nonlinear Heat Transfer with Phase Changes

Eric Feulvarch, Jean-Christophe Roux and Jean-Michel Bergheau

Mathematical Problems in Engineering, 2013, vol. 2013, 1-6

Abstract:

This paper discusses mathematical results for a variational formulation dedicated to heat transfer with phase changes. Practical finite element experiences show that the studied formulation can lead to difficulties for the numerical resolution at each time step. The aim of the paper is to show that such numerical pathologies do not come from the basic variational formulation by showing existence and uniqueness of the solution.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:257104

DOI: 10.1155/2013/257104

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