Linear numerical schemes for a \(\mathbf{Q}\)-tensor system for nematic liquid crystals

Finite element methods applied to problems in solid mechanics (74S05) Iterative numerical methods for linear systems (65F10) Liquid crystals (76A15) Crystals in solids (74N05)

Cites Work

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Weak solutions for an initial-boundary \(\mathcal{Q}\)-tensor problem related to liquid crystals
Error analysis of a mixed finite element method for the Cahn-Hilliard equation
Energy dissipation and regularity for a coupled Navier-Stokes and Q-tensor system
Hydrostatic theory of liquid crystals
Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows
Robustness of error estimates for phase field models at a class of topological changes
On the stability and accuracy of partially and fully implicit schemes for phase field modeling
Long-time behavior of global weak solutions for a Beris-Edwards type model of nematic liquid crystals
Numerical method for the equilibrium configurations of a Maier-Saupe bulk potential in a Q-tensor model of an anisotropic nematic liquid crystal
The Q-tensor model with uniaxial constraint
A novel linear second order unconditionally energy stable scheme for a hydrodynamic \(\mathbf{Q} \)-tensor model of liquid crystals
Second order schemes and time-step adaptivity for Allen-Cahn and Cahn-Hilliard models
Some constitutive equations for liquid crystals
Recent analytic development of the dynamic \(Q\)-tensor theory for nematic liquid crystals
Arbitrarily high-order unconditionally energy stable SAV schemes for gradient flow models
Energy stable numerical schemes for a hydrodynamic model of nematic liquid crystals
Dissipative Ordered Fluids
Well-Posedness of a Fully Coupled Navier--Stokes/Q-tensor System with Inhomogeneous Boundary Data
Equilibrium order parameters of nematic liquid crystals in the Landau-de Gennes theory
A stable scheme and its convergence analysis for a 2D dynamic Q-tensor model of nematic liquid crystals
Convergence Analysis of a Fully Discrete Energy-Stable Numerical Scheme for the Q-Tensor Flow of Liquid Crystals
Arbitrarily High-Order Unconditionally Energy Stable Schemes for Thermodynamically Consistent Gradient Flow Models
A Time-Splitting Finite-Element Stable Approximation for the Ericksen--Leslie Equations
A posteriorierror control for the Allen–Cahn problem: circumventing Gronwall's inequality
SOME CONSTITUTIVE EQUATIONS FOR ANISOTROPIC FLUIDS
A hydrodynamical model of nematic liquid crystal films with a general state of orientational order
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

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