On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth
type: Item
instance of: scholarly article
title: On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth
zbMATH Open document ID: 1201.80075
author: John W. Barrett
author: Harald Garcke
author: Robert Nürnberg
published in: Journal of Computational Physics
publication date: 2010-09-13T00:00:00Z
review text: This paper deals with a strong and weak formulations of the Stefan problem and the Mullins-Sekerke problem. A coupled finite element approximation for the interface evolution and the diffusion equation is introduced. Solution methods for the discrete equations and mesh adaptation strategies are discussed. Several numerical experiments including simulations of snow crystal formations are presented.
reviewed by: Pavol Chocholatý
Mathematics Subject Classification ID: 80M10
zbMATH DE Number: 5784800
zbMATH Keywords: Stefan problem
zbMATH Keywords: Mullins-Sekerka problem
zbMATH Keywords: surface tension
zbMATH Keywords: anisotropy
zbMATH Keywords: kinetic undercooling
zbMATH Keywords: Gibbs-Thomson law
zbMATH Keywords: dendritic growth
zbMATH Keywords: snow crystal growth
zbMATH Keywords: parametric finite elements
describes a project that uses: AMD
describes a project that uses: ALBERTA
describes a project that uses: UMFPACK
describes a project that uses: LDL
MaRDI profile type: Publication
full work available at URL: j.jcp.2010.04.039
OpenAlex ID: W1985719552
Wikidata QID: Q117202675
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DOI: 10.1016/J.JCP.2010.04.039