Picture of smart phone in human hand

World leading smartphone and mobile technology research at Strathclyde...

The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including by Strathclyde researchers from the Department of Computer & Information Sciences involved in researching exciting new applications for mobile and smartphone technology. But the transformative application of mobile technologies is also the focus of research within disciplines as diverse as Electronic & Electrical Engineering, Marketing, Human Resource Management and Biomedical Enginering, among others.

Explore Strathclyde's Open Access research on smartphone technology now...

A preconditioned nullspace method for liquid crystal director modelling

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

[img]
Preview
Text (Ramage-etal-SIAM-2013-A-preconditioned-nullspace-method-for-liquid-crystal-director-modeling)
Ramage_etal_SIAM_2013_A_preconditioned_nullspace_method_for_liquid_crystal_director_modeling.pdf - Final Published Version

Download (424kB) | Preview

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.