Picture of person typing on laptop with programming code visible on the laptop screen

World class computing and information science 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 researchers from the Department of Computer & Information Sciences involved in mathematically structured programming, similarity and metric search, computer security, software systems, combinatronics and digital health.

The Department also includes the iSchool Research Group, which performs leading research into socio-technical phenomena and topics such as information retrieval and information seeking behaviour.

Explore

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 (2012) Robust adaptive computation of a one-dimensional Q-tensor model of nematic liquid crystals. Computers and Mathematics with Applications, 64 (11). pp. 3627-3640. ISSN 0898-1221

Full text not available in this repository. Request a copy from the Strathclyde author

Abstract

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 solution converges at an optimal rate with respect to the mesh density and that the solution accuracy is robust to the size of singular perturbation parameter.