Gamma-Convergent Projection-Free Finite Element Methods for Nematic Liquid Crystals: The Ericksen Model
DOI10.1137/21M1407495zbMath1487.65154arXiv2103.13926OpenAlexW3138374136MaRDI QIDQ5072584
Michele Ruggeri, Shuo Yang, Ricardo H. Nochetto
Publication date: 29 April 2022
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.13926
Numerical optimization and variational techniques (65K10) 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 difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Liquid crystals (76A15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Applications to the sciences (65Z05)
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- Existence of minimal energy configurations of nematic liquid crystals with variable degree of orientation
- Liquid crystals with variable degree of orientation
- A regularity theory for harmonic maps
- Harmonic maps with defects
- The Ericksen model of liquid crystals with colloidal and electric effects
- A structure-preserving FEM for the uniaxially constrained \(\mathbf{Q} \)-tensor model of nematic liquid crystals
- Iterative solution and preconditioning for the tangent plane scheme in computational micromagnetics
- The Q-tensor model with uniaxial constraint
- Projection-free approximation of geometrically constrained partial differential equations
- On nematic liquid crystals with variable degree of orientation
- An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
- Numerical analysis of a finite element scheme for the approximation of harmonic maps into surfaces
- Relaxation Methods for Liquid Crystal Problems
- A New Algorithm For Computing Liquid Crystal Stable Configurations: The Harmonic Mapping Case
- A Preconditioned Nullspace Method for Liquid Crystal Director Modeling
- A finite element method for the generalized Ericksen model of nematic liquid crystals
- A Finite Element Method for Nematic Liquid Crystals with Variable Degree of Orientation
- Convergence rates of symplectic Pontryagin approximations in optimal control theory
- Introduction
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