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Adaptive grid methods for Q-tensor theory of liquid crystals : a one-dimensional feasibility study

Ramage, A. and Newton, C.J.P. (2008) Adaptive grid methods for Q-tensor theory of liquid crystals : a one-dimensional feasibility study. Molecular Crystals and Liquid Crystals, 480 (1). pp. 160-181. ISSN 1542-1406

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Abstract

This paper illustrates the use of moving mesh methods for solving partial differential equation (PDE) problems in Q-tensor theory of liquid crystals. We present the results of an initial study using a simple one-dimensional test problem which illustrates the feasibility of applying adaptive grid techniques in such situations. We describe how the grids are computed using an equidistribution principle, and investigate the comparative accuracy of adaptive and uniform grid strategies, both theoretically and via numerical examples.

Item type: Article
ID code: 13298
Keywords: nematic liquid crystals, order reconstruction, adaptive grids, moving meshes, statistics, Probabilities. Mathematical statistics, Mathematics, Materials Science(all), Chemistry(all), Condensed Matter Physics
Subjects: Science > Mathematics > Probabilities. Mathematical statistics
Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
Depositing user: Mrs Irene Spencer
Date Deposited: 13 Nov 2009 11:58
Last modified: 23 Jul 2015 12:54
URI: http://strathprints.strath.ac.uk/id/eprint/13298

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