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Error estimates of a sphere-constraint-preserving numerical scheme for Ericksen-Leslie system with variable density
Danxia Wang, Fang Liu, Hongen Jia and Jianwen Zhang Discrete and Continuous Dynamical Systems - B 28(11) 5814 (2023) https://doi.org/10.3934/dcdsb.2023079
A second-order BDF convex splitting numerical scheme for the Ericksen-Leslie equation
Longtime behavior of a second order finite element scheme simulating the kinematic effects in liquid crystal dynamics
Mouhamadou Samsidy Goudiaby, Ababacar Diagne and Leon Matar Tine Communications on Pure & Applied Analysis 20(10) 3499 (2021) https://doi.org/10.3934/cpaa.2021116
Inf-Sup Stable Finite Element Methods for the Landau--Lifshitz--Gilbert and Harmonic Map Heat Flow Equations
Juan Vicente Gutiérrez-Santacreu and Marco Restelli SIAM Journal on Numerical Analysis 55(6) 2565 (2017) https://doi.org/10.1137/17M1116799
A Finite Element Method for Nematic Liquid Crystals with Variable Degree of Orientation
Ricardo H. Nochetto, Shawn W. Walker and Wujun Zhang SIAM Journal on Numerical Analysis 55(3) 1357 (2017) https://doi.org/10.1137/15M103844X
A projection‐based time‐splitting algorithm for approximating nematic liquid crystal flows with stretching
Roberto C. Cabrales, Francisco Guillén‐González and Juan Vicente Gutiérrez‐Santacreu ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 97(10) 1204 (2017) https://doi.org/10.1002/zamm.201600247
A Time-Splitting Finite-Element Stable Approximation for the Ericksen--Leslie Equations
R. C. Cabrales, F. Guillén-González and J. V. Gutiérrez-Santacreu SIAM Journal on Scientific Computing 37(2) B261 (2015) https://doi.org/10.1137/140960979
Numerics for Liquid Crystals with Variable Degree of Orientation