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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
Convergence
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. |
| URI: | http://hdl.handle.net/1783.1/1774 |
| Appears in Collections: | MATH Journal/Magazine Articles
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