# Mixed Methods for the Approximation of Liquid Crystal Flows

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- 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 36.2 (2010): 205-222. <http://eudml.org/doc/194101>.

@article{Liu2010,

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 H2(Ω) 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},

keywords = {Liquid Crystals; Mixed Finite Element Approximation; Convergence.; Ericksen-Leslie equations; mixed finite element approximation; convergence; energy estimates; director field},

language = {eng},

month = {3},

number = {2},

pages = {205-222},

publisher = {EDP Sciences},

title = {Mixed Methods for the Approximation of Liquid Crystal Flows},

url = {http://eudml.org/doc/194101},

volume = {36},

year = {2010},

}

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

DA - 2010/3//

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 H2(Ω) 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; mixed finite element approximation; convergence; energy estimates; director field

UR - http://eudml.org/doc/194101

ER -

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## Citations in EuDML Documents

top- Noel J. Walkington, Numerical approximation of nematic liquid crystal flows governed by the Ericksen-Leslie equations
- F. M. Guillén-González, J. V. Gutiérrez-Santacreu, A linear mixed finite element scheme for a nematic Ericksen–Leslie liquid crystal model
- Noel J. Walkington, Numerical approximation of nematic liquid crystal flows governed by the Ericksen-Leslie equations

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