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- Alison Ramage, Eugene C. Gartland
- SIAM J. Scientific Computing
- 2013

We present a preconditioned nullspace method for the numerical solution of large sparse linear systems that arise from discretizations of continuum models for the orientational properties of liquidâ€¦ (More)

- Fulvio Bisi, Eugene C. Gartland, Riccardo Rosso, Epifanio G. Virga
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2003

Within the Landau-de Gennes theory of liquid crystals, we study the equilibrium configurations of a nematic cell with twist boundary conditions. Under the assumption that the order tensor Q beâ€¦ (More)

We consider radial hedgehog equilibrium configurations of the tensor order parameter in spherical droplets of nematic liquid crystals modeled by free energies of Landau-de Gennes type. We show thatâ€¦ (More)

This paper describes the Landau-de Gennes free-energy minimization problem for computing equilibrium configurations of the tensor order parameter field that characterizes the molecular orientationalâ€¦ (More)

- Eugene C. Gartland, Alison Ramage
- SIAM J. Numerical Analysis
- 2015

We consider the nonlinear systems of equations that result from discretizations of a prototype variational model for the equilibrium director field characterizing the orientational properties of aâ€¦ (More)

- Ivan I. Smalyukh, Bohdan Senyuk, +6 authors Bahram Taheri
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2005

We study the phase diagram of director structures in cholesteric liquid crystals of negative dielectric anisotropy in homeotropic cells of thickness d which is smaller than the cholesteric pitch p.â€¦ (More)

Discussed are two numerical packages for computing equilibrium structures of liquid crystals. The first uses Frank elasticity in a rectangular geometry in two spatial dimensions. The second uses aâ€¦ (More)

- Eugene C. Gartland, Huichun Huang, +4 authors Bahman Taheri
- 2010

Electric-Field Induced Transitions in a Cholesteric Liquid-Crystal Film with Negative Dielectric Anisotropy E. C. Gartland Jr.1 âˆ—, H. Huang1, O. D. Lavrentovich2, P. Palffy-Muhoray2, I. I. Smalyukh3,â€¦ (More)

- C. Bailey, Eugene C. Gartland, Antal JÃ¡kli
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2007

Recently it was found that fluid smectic phases of bent core liquid crystals formed freestanding fibers of extremely high slenderness ratios. Studies of these fibers showed that their structure wasâ€¦ (More)