Theoretical Framework of a Variational Formulation for Nonlinear Heat Transfer with Phase Changes. (14th February 2013)

• Record Type: Journal Article
• Authors: Feulvarch, Eric; Roux, Jean-Christophe; Bergheau, Jean-Michel
• Other Names: Celentano Diego J. Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2013(2013)
• Publication Date: 2013-02-14
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2013/257104
• Languages: English
• ISSNs: 1024-123X

Abstract

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.