A FINITE ELEMENT ALGORITHM FOR NEMATIC LIQUID CRYSTAL FLOW BASED ON THE GAUGE-UZAWA METHOD  

作　　者：Pengzhan Huang Yinnian He Ting Li 

机构地区：[1]College of Mathematics and System Sciences,Xinjiang University,Urumqi 830046,China [2]School of Mathematics and Statistics,Xi’an Jiaotong University,Xi’an 710049,China

出　　处：《Journal of Computational Mathematics》2022年第1期26-43,共18页计算数学（英文）

基　　金：supported by the Natural Science Foundation of China(grant number 11861067).

摘　　要：In this paper,we present a finite element algorithm for the time-dependent nematic liquid crystal flow based on the Gauge-Uzawa method.This algorithm combines the Gauge and Uzawa methods within a finite element variational formulation,which is a fully discrete projection type algorithm,whereas many projection methods have been studied without space discretization.Besides,error estimates for velocity and molecular orientation of the nematic liquid crystal flow are shown.Finally,numerical results are given to show that the presented algorithm is reliable and confirm the theoretical analysis.

关 键 词：Nematic liquid crystal model Finite element approximation Gauge-Uzawa method Error analysis 

分 类 号：O17[理学—数学]