Fourier Spectral Approximation To A Dissipative System Modeling The Flow Of Liquid Crystals
Convergence; Error estimate; Fourier-spectral method; Liquid crystals
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.
SIAM Journal on Numerical Analysis
Number of Pages
Source API URL
Du, Qiang; Guo, Benyu; and Shen, Jie, "Fourier Spectral Approximation To A Dissipative System Modeling The Flow Of Liquid Crystals" (2002). Scopus Export 2000s. 2399.