a1 Department of Mathematics, Pennsylvania State, University, University Park, PA 18601, USA.
a2 Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA 15213, USA.
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.
(Received December 11 2000)
(Revised January 7 2002)
(Online publication May 15 2002)
Mathematics Subject Classification: