Mixed methods for the approximation of liquid crystal flows

Chun Liu, Noel J. Walkington

Research output: Contribution to journalArticlepeer-review

46 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)205-222
Number of pages18
JournalMathematical Modelling and Numerical Analysis
Volume36
Issue number2
DOIs
StatePublished - 2002

All Science Journal Classification (ASJC) codes

  • Analysis
  • Numerical Analysis
  • Modeling and Simulation
  • Computational Mathematics
  • Applied Mathematics

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