Stability of flat interfaces during semidiscrete solidification
- Volume: 36, Issue: 4, page 573-595
- ISSN: 0764-583X
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topVeeser, Andreas. "Stability of flat interfaces during semidiscrete solidification." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 36.4 (2002): 573-595. <http://eudml.org/doc/244637>.
@article{Veeser2002,
abstract = {The stability of flat interfaces with respect to a spatial semidiscretization of a solidification model is analyzed. The considered model is the quasi-static approximation of the Stefan problem with dynamical Gibbs–Thomson law. The stability analysis bases on an argument developed by Mullins and Sekerka for the undiscretized case. The obtained stability properties differ from those with respect to the quasi-static model for certain parameter values and relatively coarse meshes. Moreover, consequences on discretization issues are discussed.},
author = {Veeser, Andreas},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {(Mullins-Sekerka) stability analysis; morphological instabilities; spatial semidiscretization; moving finite elements; phase transitions; surface tension; Stefan condition; dendritic growth; secondary sidebranching; Mullins-Sekerka stability analysis},
language = {eng},
number = {4},
pages = {573-595},
publisher = {EDP-Sciences},
title = {Stability of flat interfaces during semidiscrete solidification},
url = {http://eudml.org/doc/244637},
volume = {36},
year = {2002},
}
TY - JOUR
AU - Veeser, Andreas
TI - Stability of flat interfaces during semidiscrete solidification
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 2002
PB - EDP-Sciences
VL - 36
IS - 4
SP - 573
EP - 595
AB - The stability of flat interfaces with respect to a spatial semidiscretization of a solidification model is analyzed. The considered model is the quasi-static approximation of the Stefan problem with dynamical Gibbs–Thomson law. The stability analysis bases on an argument developed by Mullins and Sekerka for the undiscretized case. The obtained stability properties differ from those with respect to the quasi-static model for certain parameter values and relatively coarse meshes. Moreover, consequences on discretization issues are discussed.
LA - eng
KW - (Mullins-Sekerka) stability analysis; morphological instabilities; spatial semidiscretization; moving finite elements; phase transitions; surface tension; Stefan condition; dendritic growth; secondary sidebranching; Mullins-Sekerka stability analysis
UR - http://eudml.org/doc/244637
ER -
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