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A preconditioned nullspace method for liquid crystal director modelling

Ramage, Alison and Gartland, Jr, E.C. (2013) A preconditioned nullspace method for liquid crystal director modelling. SIAM Journal on Scientific Computing, 35 (1). B226–B247. ISSN 1064-8275

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Abstract

We present a preconditioned nullspace method for the numerical solution of large sparse linear systems that arise from discretizations of continuum models for the orientational properties of liquid crystals. The approach effectively deals with pointwise unit-vector constraints, which are prevalent in such models. The indefinite, saddle-point nature of such problems, which can arise from either or both of two sources (pointwise unit-vector constraints, coupled electric fields), is illustrated. Both analytical and numerical results are given for a model problem.

Item type: Article
ID code: 41706
Notes: Accepted for publication.
Keywords: nullspace method, unit-vector constraints , saddle-point problems , liquid crystals, Mathematics, Computational Mathematics, Applied Mathematics
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
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Depositing user: Pure Administrator
Date Deposited: 24 Oct 2012 16:00
Last modified: 27 Mar 2014 10:39
URI: http://strathprints.strath.ac.uk/id/eprint/41706

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