Simulation of Q-Tensor Fields with Constant Orientational Order Parameter in the Theory of Uniaxial Nematic Liquid Crystals

DOI10.1007/978-3-319-00786-1_17zbMath1321.82034OpenAlexW2185805059MaRDI QIDQ2950238

Alexander Raisch, Sören Bartels

Publication date: 8 October 2015

Published in: Singular Phenomena and Scaling in Mathematical Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-00786-1_17

Mathematics Subject Classification ID

Related Items (8)

Accelerated Gradient Descent Methods for the Uniaxially Constrained Landau-de Gennes Model ⋮ Numerical method for the equilibrium configurations of a Maier-Saupe bulk potential in a Q-tensor model of an anisotropic nematic liquid crystal ⋮ Optimal a priori discretization error bounds for geodesic finite elements ⋮ A structure-preserving FEM for the uniaxially constrained \(\mathbf{Q} \)-tensor model of nematic liquid crystals ⋮ Optimal Control of the Landau–de Gennes Model of Nematic Liquid Crystals ⋮ On the convergence of an IEQ-based first-order semi-discrete scheme for the Beris-Edwards system ⋮ The Q-tensor model with uniaxial constraint ⋮ A stable scheme and its convergence analysis for a 2D dynamic Q-tensor model of nematic liquid crystals

Uses Software

• DistMesh

Cites Work

• Finite element methods for director fields on flexible surfaces
• Landau-De Gennes theory of nematic liquid crystals: the Oseen-Frank limit and beyond
• Finite element approximation of large bending isometries
• Numerical analysis of a finite element scheme for the approximation of harmonic maps into surfaces
• A New Algorithm For Computing Liquid Crystal Stable Configurations: The Harmonic Mapping Case
• A Simple Mesh Generator in MATLAB
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