A second-order numerical scheme for the Ericksen-Leslie equation

A second-order numerical scheme for the Ericksen-Leslie equation

In this paper, we consider a finite element approximation for the Ericksen-Leslie model of nematic liquid crystal. Based on a saddle-point formulation of the director vector, a second-order backward differentiation formula (BDF) numerical scheme is proposed, where a pressure-correction strategy is u...

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Bibliographic Details
Main Authors: Danxia Wang, Ni Miao, Jing Liu
Format: Article
Language:English
Published: AIMS Press 2022-06-01
Series:AIMS Mathematics
Subjects:
ericksen-leslie equation
nematic liquid crystal
finite element
second-order accuracy
pressure-correction
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022867?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2022867?viewType=HTML

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