# Mixed methods for the approximation of liquid crystal flows

- Volume: 36, Issue: 2, page 205-222
- ISSN: 0764-583X

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topLiu, Chun, and Walkington, Noel J.. "Mixed methods for the approximation of liquid crystal flows." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 36.2 (2002): 205-222. <http://eudml.org/doc/245086>.

@article{Liu2002,

abstract = {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 $\{H^2(\Omega )\}$ 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.},

author = {Liu, Chun, Walkington, Noel J.},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {liquid crystals; mixed finite element approximation; convergence; Ericksen-Leslie equations; energy estimates; director field},

language = {eng},

number = {2},

pages = {205-222},

publisher = {EDP-Sciences},

title = {Mixed methods for the approximation of liquid crystal flows},

url = {http://eudml.org/doc/245086},

volume = {36},

year = {2002},

}

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 - Modélisation Mathématique et Analyse Numérique

PY - 2002

PB - EDP-Sciences

VL - 36

IS - 2

SP - 205

EP - 222

AB - 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 ${H^2(\Omega )}$ 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.

LA - eng

KW - liquid crystals; mixed finite element approximation; convergence; Ericksen-Leslie equations; energy estimates; director field

UR - http://eudml.org/doc/245086

ER -

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