# Stability of flat interfaces during semidiscrete solidification

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- 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 36.4 (2010): 573-595. <http://eudml.org/doc/194117>.

@article{Veeser2010,

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},

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; spatial semidiscretization; phase transitions; secondary sidebranching},

language = {eng},

month = {3},

number = {4},

pages = {573-595},

publisher = {EDP Sciences},

title = {Stability of flat interfaces during semidiscrete solidification},

url = {http://eudml.org/doc/194117},

volume = {36},

year = {2010},

}

TY - JOUR

AU - Veeser, Andreas

TI - Stability of flat interfaces during semidiscrete solidification

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

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; spatial semidiscretization; phase transitions; secondary sidebranching

UR - http://eudml.org/doc/194117

ER -

## References

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