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Mixed Methods for the Approximation of Liquid Crystal Flows

Published online by Cambridge University Press:  15 May 2002

Chun Liu  and
Noel J. Walkington
Chun Liu
Affiliation:
Department of Mathematics, Pennsylvania State, University, University Park, PA 18601, USA.
Noel J. Walkington
Affiliation:
Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA 15213, USA.
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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.

Keywords

Liquid CrystalsMixed Finite Element ApproximationConvergence.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 36 , Issue 2 , March 2002 , pp. 205 - 222
Copyright
© EDP Sciences, SMAI, 2002

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