1 citations · 2 across the 7 of their papers we have counts for
8 papers
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…
Commutativity and non-commutativity of limits in the nonlinear bending theory for prestrained microheterogeneous plates
Klaus Boehnlein, Lucas Bouck, Stefan Neukamm +2
In this paper we study the derivation of nonlinear bending models for prestrained elastic plates from three-dimensional non-linear elasticity via homogenization and dimension reduc…
Plate theory for metric-constrained actuation of liquid crystal elastomer sheets
Lucas Bouck, David Padilla-Garza, Paul Plucinsky
Liquid crystal elastomers (LCEs) marry the large deformation response of a cross-linked polymer network with the nematic order of liquid crystals pendent to the network. Of particu…
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…
A hydrodynamical model of nematic liquid crystal films with a general state of orientational order
Lucas Bouck, Ricardo H. Nochetto, Vladimir Yushutin
We develop a Q-tensor model of nematic liquid crystals occupying a stationary surface which represents a fluidic material film in space. In addition to the evolution due to Landau-…