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Robust adaptive computation of a one-dimensional Q-tensor model of nematic liquid crystals

MacDonald, Craig and MacKenzie, John and Ramage, Alison and Newton, Chris (2011) Robust adaptive computation of a one-dimensional Q-tensor model of nematic liquid crystals. Working paper. University of Strathclyde, Glasgow.

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This paper illustrates the use of an adaptive finite element method to solve a non-linear singularly perturbed boundary value problem which arises from a one-dimensional q-tensor model of liquid crystals. The adaptive non-uniform mesh is generated by equidistribution of a strictly positive monitor function which is a linear combination of a constant floor and a power of the first derivative of the numerical solution. by an appropriate selection of the monitor function parameters, we show that the computed numerical soluction converges at an otimal rate with respect to the mesh density and that the solution accuracy is robust to the size of singular perturbation parameter

Item type: Monograph (Working paper)
ID code: 41150
Keywords: robust, adaptive computation, one-dimensional, q-tensor model, nematic liquid crystals, uniform convergence, adaptive grids, mesh equidistribution, monitor function, Mathematics
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
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Depositing user: Pure Administrator
Date Deposited: 17 Sep 2012 15:19
Last modified: 04 Oct 2012 16:59

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