Theoretical framework of a variational formulation for nonlinear heat transfer with phase changes
type: Item
instance of: scholarly article
title: Theoretical framework of a variational formulation for nonlinear heat transfer with phase changes
zbMATH Open document ID: 1296.35087
DOI: 10.1155/2013/257104
author: Eric Feulvarch
author: Jean-Christophe Roux
author: Jean-Michel Bergheau
published in: Mathematical Problems in Engineering
publication date: 2014-10-13T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 35K59
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
Mathematics Subject Classification ID: 35Q79
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 65M60
zbMATH DE Number: 6354571
Wikidata QID: Q59025258
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/257104
OpenAlex ID: W2032864583
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description: scientific article; zbMATH DE number 6354571