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SUMMARY:Finite Element Methods for the Stretching and Bending of Thin Stru
 ctures with Folding
DTSTART:20231220T160000
DTEND:20231220T170000
DTSTAMP:20260510T235220Z
UID:18938bc7b9cc4902fff6dd348138d2b207054f00d29c701037f8e3c8
CATEGORIES:Conferences - Seminars
DESCRIPTION:Diane Guignard\nIn [Bonito et al.\, J. Comput. Phys. (2022)]\,
  a local discontinous Galerkin method was proposed for approximating the l
 arge bending of prestrained plates\, and in [Bonito et al.\, IMA J. Numer.
  Anal. (2023)] the numerical properties of this method were explored. Thes
 e works considered deformations driven predominantly by bending. Thus\, a 
 bending energy with a metric constraint was considered. We extend these re
 sults to the case of an energy with both a bending component and a nonconv
 ex stretching component\, and we also consider folding across a crease. Th
 e proposed discretization of this energy features a continuous finite elem
 ent space\, as well as a discrete Hessian operator. We establish the Γ-co
 nvergence of the discrete to the continuous energy and also present an ene
 rgy-decreasing gradient flow for finding critical points of the discrete e
 nergy. Finally\, we provide numerical simulations illustrating the converg
 ence of minimizers and the capabilities of the model.
LOCATION:MA A1 12 https://plan.epfl.ch/?room==MA%20A1%2012
STATUS:CONFIRMED
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