Multidimensional director modeling using the Q tensor representation in a liquid crystal cell and its application to the π cell with patterned electrodes H Mori, EC Gartland Jr, JR Kelly, PJ Bos Japanese journal of applied physics 38 (1R), 135, 1999 | 229 | 1999 |
Graded-mesh difference schemes for singularly perturbed two-point boundary value problems EC Gartland Mathematics of Computation 51 (184), 631-657, 1988 | 169 | 1988 |
Fine structure of defects in radial nematic droplets S Mkaddem, EC Gartland Jr Physical Review E 62 (5), 6694, 2000 | 139 | 2000 |
Electric-field-induced nematic-cholesteric transition and three-dimensional director structures in homeotropic cells II Smalyukh, BI Senyuk, P Palffy-Muhoray, OD Lavrentovich, H Huang, ... Physical Review E 72 (6), 061707, 2005 | 127 | 2005 |
Finite element analysis of the Landau--de Gennes minimization problem for liquid crystals TA Davis, EC Gartland Jr SIAM Journal on Numerical Analysis 35 (1), 336-362, 1998 | 126 | 1998 |
A new configurational transition in inhomogeneous nematics P Palffy-Muhoray, EC Gartland, JR Kelly Liquid Crystals 16 (4), 713-718, 1994 | 102 | 1994 |
Instability of radial hedgehog configurations in nematic liquid crystals under Landau–de Gennes free-energy models EC Gartland Jr, S Mkaddem Physical Review E 59 (1), 563, 1999 | 97 | 1999 |
Uniform high-order difference schemes for a singularly perturbed two-point boundary value problem EC Gartland Mathematics of computation 48 (178), 551-564, 1987 | 96 | 1987 |
Universal mean-field phase diagram for biaxial nematics obtained from a minimax principle F Bisi, EG Virga, EC Gartland Jr, G De Matteis, AM Sonnet, GE Durand Physical Review E 73 (5), 051709, 2006 | 88 | 2006 |
Order reconstruction in frustrated nematic twist cells F Bisi, EC Gartland Jr, R Rosso, EG Virga Physical Review E 68 (2), 021707, 2003 | 70 | 2003 |
A preconditioned nullspace method for liquid crystal director modeling A Ramage, EC Gartland Jr SIAM Journal on Scientific Computing 35 (1), B226-B247, 2013 | 55 | 2013 |
Numerical minimization of the Landau-de Gennes free energy: defects in cylindrical capillaries EC Gartland Jr, P Palffy-Muhoray, RS Varga Molecular Crystals and Liquid Crystals 199 (1), 429-452, 1991 | 48 | 1991 |
Scalings and limits of Landau-deGennes models for liquid crystals: A comment on some recent analytical papers EC Gartland Jr arXiv preprint arXiv:1512.08164, 2015 | 47 | 2015 |
Discrete weighted mean approximation of a model convection-diffusion equation EC Gartland, Jr SIAM Journal on Scientific and Statistical Computing 3 (4), 460-472, 1982 | 43 | 1982 |
Comparison of analytical calculations to finite-difference time-domain simulations of one-dimensional spatially varying anisotropic liquid crystal structures CM Titus, PJ Bos, JR Kelly, EC Gartland Japanese journal of applied physics 38 (3R), 1488, 1999 | 39 | 1999 |
Asymmetric transmissive behavior of liquid-crystal diffraction gratings CM Titus, JR Kelly, EC Gartland, SV Shiyanovskii, JA Anderson, PJ Bos Optics Letters 26 (15), 1188-1190, 2001 | 38 | 2001 |
Structure and stability of bent core liquid crystal fibers C Bailey, EC Gartland Jr, A Jákli Physical Review E 75 (3), 031701, 2007 | 35 | 2007 |
Elastic forces on nematic point defects EC Gartland Jr, AM Sonnet, EG Virga Continuum Mechanics and Thermodynamics 14 (3), 307, 2002 | 31 | 2002 |
Electric-field induced transitions in a cholesteric liquid-crystal film with negative dielectric anisotropy EC Gartland, H Huang, OD Lavrentovich, P Palffy-Muhoray, II Smalyukh, ... Journal of Computational and Theoretical Nanoscience 7 (4), 709-725, 2010 | 28 | 2010 |
An analysis of a uniformly convergent finite difference/finite element scheme for a model singular-perturbation problem EC Gartland Mathematics of computation 51 (183), 93-106, 1988 | 26 | 1988 |