1 citations · 2 across the 7 of their papers we have counts for
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Unconstrained Scheme for Geometrically Constrained Gradient Flows
Sören Bartels, Lucas Bouck, Christian Palus
In this paper, we study the approximation of gradient flows of harmonic maps, which serve as model problems for applications in micromagnetics, liquid crystals, and nonlinear plate…
Inf-Sup Stability of Parabolic TraceFEM
Lucas Bouck, Ricardo H. Nochetto, Mansur Shakipov +1
We develop a parabolic inf-sup theory for a modified TraceFEM semi-discretization in space of the heat equation posed on a stationary surface embedded in . We conside…
Projection-Free Method for the Full Frank-Oseen Model of Liquid Crystals
Lucas Bouck, Ricardo H. Nochetto
Liquid crystals are materials that experience an intermediate phase where the material can flow like a liquid, but the molecules maintain an orientation order. The Frank-Oseen mode…
Reduced Membrane Model for Liquid Crystal Polymer Networks: Asymptotics and Computation
Lucas Bouck, Ricardo H. Nochetto, Shuo Yang
We examine a reduced membrane model of liquid crystal polymer networks (LCNs) via asymptotics and computation. This model requires solving a minimization problem for a non-convex s…
Convergent FEM for a membrane model of liquid crystal polymer networks
Lucas Bouck, Ricardo H. Nochetto, Shuo Yang
We design a finite element method (FEM) for a membrane model of liquid crystal polymer networks (LCNs). This model consists of a minimization problem of a non-convex stretching ene…