Title

Fourier Spectral Approximation To A Dissipative System Modeling The Flow Of Liquid Crystals

Keywords

Convergence; Error estimate; Fourier-spectral method; Liquid crystals

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.

Publication Date

12-1-2002

Publication Title

SIAM Journal on Numerical Analysis

Volume

39

Issue

3

Number of Pages

735-762

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1137/S0036142900373737

Socpus ID

0035382413 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0035382413

This document is currently not available here.

Share

COinS