Finite element methods for the stretching and bending of thin structures with folding

A Bonito, D Guignard, A Morvant - Numerische Mathematik, 2024 - Springer
Abstract In Bonito (J. Comput. Phys. 448: 110719, 2022), a local discontinous Galerkin
method was proposed for approximating the large bending of prestrained plates, and in …

Reduced membrane model for liquid crystal polymer networks: Asymptotics and computation

L Bouck, RH Nochetto, S Yang - Journal of the Mechanics and Physics of …, 2024 - Elsevier
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 …

Liquid Crystal Variational Problems: Modeling, Numerical Analysis, and Computation

LC Bouck - 2023 - search.proquest.com
LIQUID CRYSTAL VARIATIONAL, PROBLEMS: MODELING, NUMERICAL ANALYSIS AND
COMPUTATION Lucas Christopher Bouck Doctor of Ph Page 1 ABSTRACT Title of Dissertation …

Plate theory for metric-constrained actuation of liquid crystal elastomer sheets

L Bouck, D Padilla-Garza, P Plucinsky - arXiv preprint arXiv:2410.00333, 2024 - arxiv.org
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 …

Two novel numerical methods for gradient flows: generalizations of the Invariant Energy Quadratization method

Y Yue - Numerical Algorithms, 2024 - Springer
In this paper, we conduct an in-depth investigation of the structural intricacies inherent to the
Invariant Energy Quadratization (IEQ) method as applied to gradient flows, and we dissect …

[PDF][PDF] A Bibliography of Publications in SIAM Journal on Numerical Analysis: 2010–2019

NHF Beebe - 2024 - ctan.math.utah.edu
A Bibliography of Publications in SIAM Journal on Numerical Analysis: 2010–2019 Page 1
A Bibliography of Publications in SIAM Journal on Numerical Analysis: 2010–2019 Nelson …