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Computing confined elasticae (Q2110479)

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scientific article; zbMATH DE number 7636104

Language	Label	Description	Also known as
English	Computing confined elasticae	scientific article; zbMATH DE number 7636104

Statements

scholarly article

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Computing confined elasticae (English)

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Advances in Continuous and Discrete Models

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publication date

21 December 2022

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full work available at URL

https://arxiv.org/abs/2203.09453

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zbMATH Keywords

rods

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elasticity

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constraints

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numerical scheme

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MaRDI profile type

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Numerical approximation of anisotropic geometric evolution equations in the plane

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Numerical approximation of gradient flows for closed curves in Rd

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The approximation of planar curve evolutions by stable fully implicit finite element schemes that equidistribute

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Finite element methods for fourth order axisymmetric geometric evolution equations

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Stable Discretizations of Elastic Flow in Riemannian Manifolds

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A simple scheme for the approximation of the elastic flow of inextensible curves

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Finite element simulation of nonlinear bending models for thin elastic rods and plates

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Stable gradient flow discretizations for simulating bilayer plate bending with isometry and obstacle constraints

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Numerical solution of a bending-torsion model for elastic rods

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Stability of a simple scheme for the approximation of elastic knots and self-avoiding inextensible curves

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A simple scheme for the approximation of self-avoiding inextensible curves

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LDG approximation of large deformations of prestrained plates

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Elastic curves on the sphere

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Evolution of open elastic curves in \(\mathbb{R}^n\) subject to fixed length and natural boundary conditions

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Error analysis for the elastic flow of parametrized curves

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Computation of geometric partial differential equations and mean curvature flow

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Kirchhoff's theory of rods

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Confined Elastic Curves

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Discrete Gradient Flows for General Curvature Energies

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Evolution of elastic curves in \(\mathbb R^n\): Existence and computation

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What are the longest ropes on the unit sphere?

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A linear theory of straight elastic rods

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On a nonlinear partial differential algebraic system arising in the technical textile industry: analysis and numerics

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Deformation of framed curves with boundary conditions

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Knotted Elastic Curves in <i>R</i> <sup>3</sup>

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Curve straightening and a minimax argument for closed elastic curves

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A First Course in Sobolev Spaces

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An extended filament based lamellipodium model produces various moving cell shapes in the presence of chemotactic signals

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Derivation of the nonlinear bending-torsion theory for inextensible rods by \(\Gamma\)-convergence

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On the curve straightening flow of inextensible, open, planar curves

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A stable finite element method for low inertia undulatory locomotion in three dimensions

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Sobolev gradients for the Möbius energy

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Shape optimization of self-avoiding curves

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Confined elasticae and the buckling of cylindrical shells

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1186/S13662-022-03731-7

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Sitelinks

Mathematics(1 entry)

mardi Publication:2110479

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