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The numerical solution of the flow of a liquid crystal governed by a particular instance of the Ericksen-Leslie equations is considered. Convergence results for this system rely crucially upon energy estimates which involve norms of the director field. We show how a mixed method may be used to eliminate the need for Hermite finite elements and establish convergence of the method.
@article{M2AN_2002__36_2_205_0,
author = {Liu, Chun and Walkington, Noel J.},
title = {Mixed methods for the approximation of liquid crystal flows},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {205--222},
publisher = {EDP-Sciences},
volume = {36},
number = {2},
year = {2002},
doi = {10.1051/m2an:2002010},
mrnumber = {1906815},
zbl = {1032.76035},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2002010/}
}
TY - JOUR AU - Liu, Chun AU - Walkington, Noel J. TI - Mixed methods for the approximation of liquid crystal flows JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2002 SP - 205 EP - 222 VL - 36 IS - 2 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/m2an:2002010/ DO - 10.1051/m2an:2002010 LA - en ID - M2AN_2002__36_2_205_0 ER -
%0 Journal Article %A Liu, Chun %A Walkington, Noel J. %T Mixed methods for the approximation of liquid crystal flows %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2002 %P 205-222 %V 36 %N 2 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/m2an:2002010/ %R 10.1051/m2an:2002010 %G en %F M2AN_2002__36_2_205_0
Liu, Chun; Walkington, Noel J. Mixed methods for the approximation of liquid crystal flows. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 36 (2002) no. 2, pp. 205-222. doi: 10.1051/m2an:2002010
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