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. Preprint / 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
ORCID iDs
MacDonald, Craig ORCID: https://orcid.org/0000-0002-9996-674X, MacKenzie, John ORCID: https://orcid.org/0000-0003-4412-7057, Ramage, Alison ORCID: https://orcid.org/0000-0003-4709-0691 and Newton, Chris;-
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Item type: Monograph(Preprint / Working Paper) ID code: 41150 Dates: DateEvent2011PublishedSubjects: Science > Mathematics Department: Faculty of Science > Mathematics and Statistics Depositing user: Pure Administrator Date deposited: 17 Sep 2012 14:19 Last modified: 11 Nov 2024 16:02 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/41150