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The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs.

Strathprints serves world leading Open Access research by the University of Strathclyde, including research by the Strathclyde Institute of Pharmacy and Biomedical Sciences (SIPBS), where research centres such as the Industrial Biotechnology Innovation Centre (IBioIC), the Cancer Research UK Formulation Unit, SeaBioTech and the Centre for Biophotonics are based.

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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.