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SCALINGS AND LIMITS OF LANDAU-DE GENNES MODELS FOR LIQUID CRYSTALS: A COMMENT ON SOME RECENT ANALYTICAL PAPERS

Mathematical modelling and analysis, 2018-06, Vol.23 (3), p.414-432

Gartland Jr, Eugene C.

2018

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A Preconditioned Nullspace Method for Liquid Crystal Director Modeling

SIAM journal on scientific computing, 2013-01, Vol.35 (1), p.B226-B247

2013

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Forces and variational compatibility for equilibrium liquid crystal director models with coupled electric fields

Continuum mechanics and thermodynamics, 2020-11, Vol.32 (6), p.1559-1593

Gartland, Eugene C.

2020

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A model liquid crystal cell in an RC circuit

Journal of physics communications, 2021-07, Vol.5 (7), p.75006

Gartland, Eugene C

2021

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A RENORMALIZED NEWTON METHOD FOR LIQUID CRYSTAL DIRECTOR MODELING

SIAM journal on numerical analysis, 2015-01, Vol.53 (1), p.251-278

2015

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An analytic mean-field model for the magnetic response of a ferrofluid monolayer

Soft matter, 2013-01, Vol.9 (25), p.5991-68

2013

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Electric-Field-Induced Instabilities in Nematic Liquid Crystals

SIAM journal on applied mathematics, 2021-01, Vol.81 (2), p.304-334

Gartland, Eugene C.

2021

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Finite Element Analysis of the Landau-De Gennes Minimization Problem for Liquid Crystals

SIAM journal on numerical analysis, 1998-02, Vol.35 (1), p.336-362

1998

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Minimum Principle for Indefinite Mean-Field Free Energies

Archive for rational mechanics and analysis, 2010-04, Vol.196 (1), p.143-189

2010

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Modeling optical properties of liquid-crystal devices by numerical solution of time-harmonic Maxwell equations

Journal of the Optical Society of America. A, Optics, image science, and vision, 2004-07, Vol.21 (7), p.1344

2004

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Universal mean-field phase diagram for biaxial nematics obtained from a minimax principle

Physical review. E, Statistical, nonlinear, and soft matter physics, 2006-05, Vol.73 (5 Pt 1), p.051709-051709, Article 051709

2006

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Elastic forces on nematic point defects

Continuum mechanics and thermodynamics, 2002-06, Vol.14 (3), p.307-319

2002

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Multidimensional Director Modeling Using the Q Tensor Representation in a Liquid Crystal Cell and Its Application to the π Cell with Patterned Electrodes

Japanese Journal of Applied Physics, 1999-01, Vol.38 (1R), p.135

1999

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Order reconstruction in frustrated nematic twist cells

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 2003-08, Vol.68 (2 Pt 1), p.021707-021707, Article 021707

2003

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On the Uniform Convergence of the Scharfetter-Gummel Discretization in One Dimension

SIAM journal on numerical analysis, 1993-06, Vol.30 (3), p.749-758

Gartland, Eugene C.

1993

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Bifurcation analysis of the twist-Fréedericksz transition in a nematic liquid-crystal cell with pre-twist boundary conditions

European journal of applied mathematics, 2009-06, Vol.20 (3), p.269-287

2009

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Analysis of a Simplified Liquid Crystal Shear-Flow Model

SIAM journal on applied mathematics, 1994-04, Vol.54 (2), p.317-332

Gartland, Eugene C.

1994

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Newton iteration for partial differential equations and the approximation of the identity

Numerical algorithms, 2000-01, Vol.25 (1-4), p.181-195

2000

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Strong Stability of Compact Discrete Boundary Value Problems via Exact Discretizations

SIAM journal on numerical analysis, 1988-02, Vol.25 (1), p.111-123

Gartland, Eugene C.

1988

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High order finite-difference methods for two-point boundary value problems with singular sources

Journal of computational physics, 1986, Vol.64 (2), p.473-489

Gartland, Eugene C

1986

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Accurate approximation of eigenvalues and zeros of selected eigenfunctions of regular Sturm-Liouville problems

Mathematics of computation, 1984-04, Vol.42 (166), p.427-439

Gartland, Eugene C.

1984

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Uniform High-Order Difference Schemes for a Singularly Perturbed Two-Point Boundary Value Problem

Mathematics of computation, 1987-05, Vol.48 (178), p.551-564

Gartland, Eugene C.

1987

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Algorithms defined by Nash iteration: some implementations via multilevel collocation and smoothing

Journal of computational and applied mathematics, 2000-07, Vol.119 (1), p.161-183

2000

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Multicollinear effects of weighted least squares regression

Statistics & probability letters, 1983, Vol.1 (4), p.207-211

1983

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Graded-Mesh Difference Schemes for Singularly Perturbed Two-Point Boundary Value Problems

Mathematics of computation, 1988, Vol.51 (184), p.631-657

Gartland, Eugene C.

1988

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SCALINGS AND LIMITS OF LANDAU-DE GENNES MODELS FOR LIQUID CRYSTALS: A COMMENT ON SOME RECENT ANALYTICAL PAPERS

A Preconditioned Nullspace Method for Liquid Crystal Director Modeling

Forces and variational compatibility for equilibrium liquid crystal director models with coupled electric fields

A model liquid crystal cell in an RC circuit

A RENORMALIZED NEWTON METHOD FOR LIQUID CRYSTAL DIRECTOR MODELING

An analytic mean-field model for the magnetic response of a ferrofluid monolayer

Electric-Field-Induced Instabilities in Nematic Liquid Crystals

Finite Element Analysis of the Landau-De Gennes Minimization Problem for Liquid Crystals

Minimum Principle for Indefinite Mean-Field Free Energies

Modeling optical properties of liquid-crystal devices by numerical solution of time-harmonic Maxwell equations

Universal mean-field phase diagram for biaxial nematics obtained from a minimax principle

Elastic forces on nematic point defects

Multidimensional Director Modeling Using the Q Tensor Representation in a Liquid Crystal Cell and Its Application to the π Cell with Patterned Electrodes

Order reconstruction in frustrated nematic twist cells

On the Uniform Convergence of the Scharfetter-Gummel Discretization in One Dimension

Bifurcation analysis of the twist-Fréedericksz transition in a nematic liquid-crystal cell with pre-twist boundary conditions

Analysis of a Simplified Liquid Crystal Shear-Flow Model

Newton iteration for partial differential equations and the approximation of the identity

Strong Stability of Compact Discrete Boundary Value Problems via Exact Discretizations

High order finite-difference methods for two-point boundary value problems with singular sources

Accurate approximation of eigenvalues and zeros of selected eigenfunctions of regular Sturm-Liouville problems

Uniform High-Order Difference Schemes for a Singularly Perturbed Two-Point Boundary Value Problem

Algorithms defined by Nash iteration: some implementations via multilevel collocation and smoothing

Multicollinear effects of weighted least squares regression

Graded-Mesh Difference Schemes for Singularly Perturbed Two-Point Boundary Value Problems

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