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.
All Science Journal Classification (ASJC) codes
- Numerical Analysis
- Modeling and Simulation
- Computational Mathematics
- Applied Mathematics