Accelerated Gradient Descent Methods for the Uniaxially Constrained Landau-de Gennes Model
DOI10.4208/aamm.OA-2021-0075zbMath1499.65650MaRDI QIDQ5032338
Shawn W. Walker, Edison E. Chukwuemeka
Publication date: 16 February 2022
Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Degenerate elliptic equations (35J70) Finite element methods applied to problems in fluid mechanics (76M10) Discrete approximations in optimal control (49M25)
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- Minimizers of the Landau-de Gennes energy around a spherical colloid particle
- Semi-discrete energy-stable schemes for a tensor-based hydrodynamic model of nematic liquid crystal flows
- Elasticity of polydomain liquid crystal elastomers
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- A mesh adaptivity scheme on the Landau-de Gennes functional minimization case in 3D, and its driving efficiency
- Uniaxial symmetry in nematic liquid crystals
- Landau-De Gennes theory of nematic liquid crystals: the Oseen-Frank limit and beyond
- The Ericksen model of liquid crystals with colloidal and electric effects
- Refined approximation for minimizers of a Landau-de Gennes energy functional
- A structure-preserving FEM for the uniaxially constrained \(\mathbf{Q} \)-tensor model of nematic liquid crystals
- A novel linear second order unconditionally energy stable scheme for a hydrodynamic \(\mathbf{Q} \)-tensor model of liquid crystals
- A decoupled energy stable scheme for a hydrodynamic phase-field model of mixtures of nematic liquid crystals and viscous fluids
- Maximum principle and uniform convergence for the finite element method
- Dissipative Ordered Fluids
- Algebraic analysis of aggregation-based multigrid
- An Algebraic Multigrid Method with Guaranteed Convergence Rate
- Simulation of Q-Tensor Fields with Constant Orientational Order Parameter in the Theory of Uniaxial Nematic Liquid Crystals
- Knot theory realizations in nematic colloids
- A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities
- Equilibrium order parameters of nematic liquid crystals in the Landau-de Gennes theory
- An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
- On the Angle Condition in the Finite Element Method
- Finite Element Analysis of the Landau--de Gennes Minimization Problem for Liquid Crystals
- Weakened acute type condition for tetrahedral triangulations and the discrete maximum principle
- FELICITY: A Matlab/C++ Toolbox for Developing Finite Element Methods and Simulation Modeling
- Conjugate Gradient Algorithms and Finite Element Methods
- Efficient Numerical Methods for Computing the Stationary States of Phase Field Crystal Models
- A Finite Element Method for Nematic Liquid Crystals with Variable Degree of Orientation
- Some methods of speeding up the convergence of iteration methods
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