31 citations · 78 across the 10 of their papers we have counts for
3 papers · 1 filter
A Finite Element Method for a Phase Field Model of Nematic Liquid Crystal Droplets
Amanda E. Diegel, Shawn W. Walker
We develop a novel finite element method for a phase field model of nematic liquid crystal droplets. The continuous model considers a free energy comprised of three components: the…
The Ericksen Model of Liquid Crystals with Colloidal and Electric Effects
Ricardo H. Nochetto, Shawn W. Walker, Wujun Zhang
We present a robust discretization of the Ericksen model of liquid crystals with variable degree of orientation coupled with colloidal effects and electric fields. The total energy…
Analysis of the finite element method for the Laplace--Beltrami equation on surfaces with regions of high curvature using graded meshes
Johnny Guzman, Alexandre Madureira, Marcus Sarkis +1
We derive error estimates for the piecewise linear finite element approximation of the Laplace--Beltrami operator on a bounded, orientable, , surface without boundary on gener…