| Issue |
ESAIM: M2AN
Volume 36, Number 2, March/April 2002
|
|
|---|---|---|
| Page(s) | 205 - 222 | |
| DOI | https://doi.org/10.1051/m2an:2002010 | |
| Published online | 15 May 2002 | |
Mixed Methods for the Approximation of Liquid Crystal Flows
1
Department of Mathematics, Pennsylvania State,
University, University Park, PA 18601, USA.
2
Department of Mathematics, Carnegie
Mellon University, Pittsburgh, PA 15213, USA.
Received:
11
December
2000
Revised:
7
January
2002
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.
Mathematics Subject Classification: 65M60 / 76A15
Key words: Liquid Crystals / Mixed Finite Element Approximation / Convergence.
© EDP Sciences, SMAI, 2002
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