论文标题
液晶Q量流的完全离散的能量稳定数值方案的收敛分析
Convergence analysis of a fully discrete energy-stable numerical scheme for the Q-tensor flow of liquid crystals
论文作者
论文摘要
我们为基于Zhao，Yang，Gong和Wang的能量稳定的半分化方案的液晶Q量流提供了完全离散的收敛有限差异方案（Comput。MethodsAppl。Mech。Engrg。2017）。我们证明了该方案的稳定性，并显示了Q量流程方程的弱解。我们在数值模拟中演示了该方案的性能。
We present a fully discrete convergent finite difference scheme for the Q-tensor flow of liquid crystals based on the energy-stable semi-discrete scheme by Zhao, Yang, Gong, and Wang (Comput. Methods Appl. Mech. Engrg. 2017). 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.
