Approximation of liquid crystal flows

Chun Liu, Noel J. Walkington

Research output: Contribution to journalArticle

81 Citations (Scopus)

Abstract

The numerical solution of the flow of a liquid crystal governed by a particular instance of the Ericksen-Leslie equations is considered. Convergence of finite element approximations is established under appropriate regularity hypotheses, and numerical experiments exhibiting the interaction of singularities and the coupling of the director and momentum equations are presented.

Original languageEnglish (US)
Pages (from-to)725-741
Number of pages17
JournalSIAM Journal on Numerical Analysis
Volume37
Issue number3
DOIs
StatePublished - Jan 1 2000

Fingerprint

Liquid Crystal
Liquid crystals
Momentum
Approximation
Finite Element Approximation
Experiments
Regularity
Numerical Experiment
Numerical Solution
Singularity
Interaction

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

Cite this

Liu, Chun ; Walkington, Noel J. / Approximation of liquid crystal flows. In: SIAM Journal on Numerical Analysis. 2000 ; Vol. 37, No. 3. pp. 725-741.
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Approximation of liquid crystal flows. / Liu, Chun; Walkington, Noel J.

In: SIAM Journal on Numerical Analysis, Vol. 37, No. 3, 01.01.2000, p. 725-741.

Research output: Contribution to journalArticle

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