Voir la notice de l'article provenant de la source Numdam
Numerical approximation of the flow of liquid crystals governed by the Ericksen-Leslie equations is considered. Care is taken to develop numerical schemes which inherit the Hamiltonian structure of these equations and associated stability properties. For a large class of material parameters compactness of the discrete solutions is established which guarantees convergence.
@article{M2AN_2011__45_3_523_0,
author = {Walkington, Noel J.},
title = {Numerical approximation of nematic liquid crystal flows governed by the {Ericksen-Leslie} equations},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {523--540},
publisher = {EDP-Sciences},
volume = {45},
number = {3},
year = {2011},
doi = {10.1051/m2an/2010065},
mrnumber = {2804649},
zbl = {1267.76008},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2010065/}
}
TY - JOUR AU - Walkington, Noel J. TI - Numerical approximation of nematic liquid crystal flows governed by the Ericksen-Leslie equations JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2011 SP - 523 EP - 540 VL - 45 IS - 3 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/m2an/2010065/ DO - 10.1051/m2an/2010065 LA - en ID - M2AN_2011__45_3_523_0 ER -
%0 Journal Article %A Walkington, Noel J. %T Numerical approximation of nematic liquid crystal flows governed by the Ericksen-Leslie equations %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2011 %P 523-540 %V 45 %N 3 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/m2an/2010065/ %R 10.1051/m2an/2010065 %G en %F M2AN_2011__45_3_523_0
Walkington, Noel J. Numerical approximation of nematic liquid crystal flows governed by the Ericksen-Leslie equations. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 45 (2011) no. 3, pp. 523-540. doi: 10.1051/m2an/2010065
Cité par Sources :