Ramage, A. and Newton, C.J.P. (2008) Adaptive grid methods for Qtensor theory of liquid crystals : a onedimensional feasibility study. Molecular Crystals and Liquid Crystals, 480 (1). pp. 160181. ISSN 15421406

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Abstract
This paper illustrates the use of moving mesh methods for solving partial differential equation (PDE) problems in Qtensor theory of liquid crystals. We present the results of an initial study using a simple onedimensional 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:  11 Dec 2015 23:56 
URI:  http://strathprints.strath.ac.uk/id/eprint/13298 
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