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

查看全文 作　　者：Pengzhan [1]Huang;Yinnian [2]He;Ting [1]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》索引2022年第40卷第1期,共18页

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

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

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