A coupled Ericksen/Allen-Cahn model for liquid crystal droplets

DOI10.1016/j.camwa.2018.03.013zbMath1419.82070OpenAlexW2794570509MaRDI QIDQ2001286

Shawn W. Walker, Angelique Morvant, Ethan Seal

Publication date: 3 July 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.03.013

zbMATH Keywords

finite element methoddefectsliquid crystalsAllen-CahndropletsEricksen model

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Liquid crystals (76A15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items

Conservative Allen-Cahn equation with a nonstandard variable mobility, The numerical solutions for the energy-dissipative and mass-conservative Allen-Cahn equation, A finite element method for the generalized Ericksen model of nematic liquid crystals, The two-dimensional liquid crystal droplet problem with a tangential boundary condition

Uses Software

• FELICITY

Cites Work

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