31 citations · 78 across the 10 of their papers we have counts for
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math.NA2019
A structure-preserving FEM for the uniaxially constrained -tensor model of nematic liquid crystals
Juan Pablo Borthagaray, Ricardo H. Nochetto, Shawn W. Walker
We consider the one-constant Landau - de Gennes model for nematic liquid crystals. The order parameter is a traceless tensor field , which is constrained to be uniaxial…
math.NA2019
The Hellan-Herrmann-Johnson method with curved elements
Douglas N. Arnold, Shawn W. Walker
We study the finite element approximation of the Kirchhoff plate equation on domains with curved boundaries using the Hellan-Herrmann-Johnson (HHJ) method. We prove optimal converg…