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Title: Fourier spectral approximation to a dissipative system modeling the flow of liquid crystals
Authors: Du, Qiang
Guo, Benyu
Shen, Jie
Keywords: Liquid crystals
Fourier-spectral method
Error estimate
Issue Date: Jun-2001
Citation: SIAM journal on numerical analysis, v. 39, no. 3, p. 735-762
Abstract: We study a Fourier-spectral method for a dissipative system modeling the flow of liquid crystals. We first prove its convergence in a suitable sense and establish the existence of a global weak solution of the original problem and its uniqueness in the two dimensional case. Then we derive error estimates which exhibit the spectral accuracy of the Fourier-spectral method. We also construct a fully discrete scheme and carry out a complete stability and error analysis for it. Finally, we present some illustrative numerical results.
Rights: Copyright © SIAM. This paper is made available with permission of the Society for Industrial and Applied Mathematics for limited noncommerical distribution only.
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