Approximation of Liquid Crystal Flows

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 singul...

Full description

Saved in:
Bibliographic Details
Published in:SIAM journal on numerical analysis 2000, Vol.37 (3), p.725-741
Main Authors: Liu, Chun, Walkington, Noel J.
Format: Article
Language:English
Subjects:
Applied mathematics
Approximation
Boundary conditions
Energy
Flow velocity
Liquid crystals
Mathematics
Navier Stokes equation
Penalty function
Spacetime
Topological regularity
Velocity
Velocity distribution
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0036-1429
1095-7170
DOI:10.1137/S0036142997327282