Finite Element Approximation of Large-Scale Isometric Deformations of Parametrized Surfaces
type: Item
instance of: scholarly article
title: Finite Element Approximation of Large-Scale Isometric Deformations of Parametrized Surfaces
zbMATH Open document ID: 1501.65126
DOI: 10.1137/21M1455292
author: Martin Rumpf
author: Stefan Simon
author: Christoph Smoch
published in: SIAM Journal on Numerical Analysis
publication date: 2022-10-27T00:00:00Z
full work available at URL: https://arxiv.org/abs/2110.13604
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 74K25
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74G65
Mathematics Subject Classification ID: 49M41
Mathematics Subject Classification ID: 35Q74
zbMATH DE Number: 7608229
zbMATH Keywords: thin elastic shells
zbMATH Keywords: bending energy
zbMATH Keywords: isometric deformations
zbMATH Keywords: discrete Kirchhoff triangle
describes a project that uses: Ipopt
MaRDI profile type: Publication
arXiv ID: 2110.13604
cites work: Approximation of Large Bending Isometries with Discrete Kirchhoff Triangles
cites work: Introduction
cites work: Numerical Solution of a Föppl--von Kármán Model
cites work: Bilayer Plates: Model Reduction, Γ-Convergent Finite Element Approximation, and Discrete Gradient Flow
cites work: Plates with incompatible prestrain
cites work: DG approach to large bending plate deformations with isometry constraint
cites work: Finite elements. Theory, fast solvers and applications in elasticity theory
cites work: A pessimistic bilevel stochastic problem for elastic shape optimization
cites work: Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence.
cites work: A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
cites work: On Spherical Image Maps Whose Jacobians Do Not Change Sign
cites work: Approximation of flat \(W ^{2,2}\) isometric immersions by smooth ones
cites work: On material optimisation for nonlinearly elastic plates and shells
cites work: The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
cites work: The membrane shell model in nonlinear elasticity: A variational asymptotic derivation
cites work: On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
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description: scientific article; zbMATH DE number 7608229