Numerical method for the equilibrium configurations of a Maier-Saupe bulk potential in a Q-tensor model of an anisotropic nematic liquid crystal
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Publication:2131036
DOI10.1016/j.jcp.2021.110441OpenAlexW3160674736MaRDI QIDQ2131036
Shawn W. Walker, Jorge Viñals, Cody D. Schimming
Publication date: 25 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.13317
Numerical linear algebra (65Fxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Applications of statistical mechanics to specific types of physical systems (82Dxx)
Related Items (2)
Recent analytic development of the dynamic \(Q\)-tensor theory for nematic liquid crystals ⋮ Efficient spectral methods for quasi-equilibrium closure approximations of symmetric problems on unit circle and sphere
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Cites Work
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- Semi-discrete energy-stable schemes for a tensor-based hydrodynamic model of nematic liquid crystal flows
- Elasticity of polydomain liquid crystal elastomers
- Regularity and the behavior of eigenvalues for minimizers of a constrained \(Q\)-tensor energy for liquid crystals
- An aggregation-based algebraic multigrid method
- A mesh adaptivity scheme on the Landau-de Gennes functional minimization case in 3D, and its driving efficiency
- Ordering effects in electric splay Freedericksz transitions
- A quadrature formula for the sphere of the 131st algebraic order of accuracy
- On the stability and accuracy of partially and fully implicit schemes for phase field modeling
- A structure-preserving FEM for the uniaxially constrained \(\mathbf{Q} \)-tensor model of nematic liquid crystals
- 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
- Aggregation-Based Algebraic Multigrid for Convection-Diffusion Equations
- 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
- Finite Element Analysis of the Landau--de Gennes Minimization Problem for Liquid Crystals
- FELICITY: A Matlab/C++ Toolbox for Developing Finite Element Methods and Simulation Modeling
- SCALINGS AND LIMITS OF LANDAU-DE GENNES MODELS FOR LIQUID CRYSTALS: A COMMENT ON SOME RECENT ANALYTICAL PAPERS
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