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典型文献
A FINITE ELEMENT ALGORITHM FOR NEMATIC LIQUID CRYSTAL FLOW BASED ON THE GAUGE-UZAWA METHOD
文献摘要:
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.
文献关键词:
作者姓名:
Pengzhan Huang;Yinnian He;Ting Li
作者机构:
College of Mathematics and System Sciences,Xinjiang University,Urumqi 830046,China;School of Mathematics and Statistics,Xi'an Jiaotong University,Xi'an 710049,China
引用格式:
[1]Pengzhan Huang;Yinnian He;Ting Li-.A FINITE ELEMENT ALGORITHM FOR NEMATIC LIQUID CRYSTAL FLOW BASED ON THE GAUGE-UZAWA METHOD)[J].计算数学(英文版),2022(01):26-43
A类:
FINITE,ELEMENT,ALGORITHM,NEMATIC,LIQUID,CRYSTAL,GAUGE,UZAWA,Uzawa
B类:
FOR,FLOW,BASED,ON,THE,METHOD,In,this,paper,we,finite,element,algorithm,dependent,nematic,liquid,crystal,flow,Gauge,This,combines,methods,within,variational,formulation,which,fully,discrete,projection,type,whereas,many,have,been,studied,without,space,discretization,Besides,error,estimates,velocity,molecular,orientation,are,shown,Finally,numerical,results,given,that,presented,reliable,confirm,theoretical,analysis
AB值:
0.553303
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