Abstract
We present a fully discrete convergent finite difference scheme for the Q-tensor flow of liquid crystals based on the energy-stable semidiscrete scheme by Zhao et al. [Comput. Methods Appl. Mech. Engrg., 2017, pp. 803--825]. We prove stability properties of the scheme and show convergence to weak solutions of the Q-tensor flow equations. We demonstrate the performance of the scheme in numerical simulations.
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