液晶Q张量流的能量稳定全离散数值格式的收敛性分析
Convergence analysis of a fully discrete energy-stable numerical scheme for the Q-tensor flow of liquid crystals
摘要：
基于Zhao，Yang，Gong，and Wang（Comput.方法应用机械工程2017年）的报告。我们证明了该格式的稳定性，并证明了其收敛于Q-张量流方程的弱解。我们证明了该计划的性能在数值模拟。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
