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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 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
Constrained Optimization for Liquid Crystal Equilibria
J. H. Adler, D. B. Emerson, S. P. MacLachlan and T. A. Manteuffel SIAM Journal on Scientific Computing 38(1) B50 (2016) https://doi.org/10.1137/141001846
Numerical approximations to a new phase field model for two phase flows of complex fluids
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
Global existence and regularity of a 1 liquid crystal system
An Overview on Numerical Analyses of Nematic Liquid Crystal Flows
S. Badia, F. Guillén-Gónzalez and J. V. Gutiérrez-Santacreu Archives of Computational Methods in Engineering 18(3) 285 (2011) https://doi.org/10.1007/s11831-011-9061-x
Finite-dimensional global attractor for a system modeling the 2D nematic liquid crystal flow
Finite element approximation of nematic liquid crystal flows using a saddle-point structure
Santiago Badia, Francisco Guillén-González and Juan Vicente Gutiérrez-Santacreu Journal of Computational Physics 230(4) 1686 (2011) https://doi.org/10.1016/j.jcp.2010.11.033
Finite Element Approximations of the Ericksen–Leslie Model for Nematic Liquid Crystal Flow
Roland Becker, Xiaobing Feng and Andreas Prohl SIAM Journal on Numerical Analysis 46(4) 1704 (2008) https://doi.org/10.1137/07068254X
An energy law preserving C0 finite element scheme for simulating the kinematic effects in liquid crystal dynamics
Phase-field simulations of interfacial dynamics in viscoelastic fluids using finite elements with adaptive meshing
Pengtao Yue, Chunfeng Zhou, James J. Feng, Carl F. Ollivier-Gooch and Howard H. Hu Journal of Computational Physics 219(1) 47 (2006) https://doi.org/10.1016/j.jcp.2006.03.016
Simulations of singularity dynamics in liquid crystal flows: A C0 finite element approach