Mixed methods for the approximation of liquid crystal flows
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 36 (2002) no. 2, p. 205-222

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 ${H}^{2}\left(\Omega \right)$ 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.

DOI : https://doi.org/10.1051/m2an:2002010
Classification:  65M60,  76A15
Keywords: liquid crystals, mixed finite element approximation, convergence
@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 - Mod\'elisation Math\'ematique et Analyse Num\'erique},
publisher = {EDP-Sciences},
volume = {36},
number = {2},
year = {2002},
pages = {205-222},
doi = {10.1051/m2an:2002010},
zbl = {1032.76035},
mrnumber = {1906815},
language = {en},
url = {http://www.numdam.org/item/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 - Modélisation Mathématique et Analyse Numérique, Volume 36 (2002) no. 2, pp. 205-222. doi : 10.1051/m2an:2002010. http://www.numdam.org/item/M2AN_2002__36_2_205_0/

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