AI Chat AI Image Generator AI Video Text to Speech

Simulation of constrained elastic curves and application to a conical sheet indentation problem

04/23/2020

∙

by Sören Bartels, et al.

∙

∙

We consider variational problems that model the bending behavior of curves that are constrained to belong to given hypersurfaces. Finite element discretizations of corresponding functionals are justified rigorously via Gamma-convergence. The stability of semi-implicit discretizations of gradient flows is investigated which provide a practical method to determine stationary configurations. A particular application of the considered models arises in the description of conical sheet deformations.

research

∙ 11/19/2019

Numerical simulation of inextensible elastic ribbons

Using dimensionally reduced models for the numerical simulation of thin ...

0 Sören Bartels, et al. ∙

research

∙ 03/22/2023

Migrating elastic flows

Huisken's problem asks whether there is an elastic flow of closed planar...

0 Tomoya Kemmochi, et al. ∙

research

∙ 08/01/2022

Structure-preserving numerical methods for constrained gradient flows of planar closed curves with explicit tangential velocities

In this paper, we consider numerical approximation of constrained gradie...

0 Tomoya Kemmochi, et al. ∙

research

∙ 09/08/2023

Modelling, Analysis and Numerical Simulation of a Spring-Rods System with Unilateral Constraints

In this paper we consider a mathematical model which describes the equil...

0 Anna Ochal, et al. ∙

research

∙ 08/10/2021

Simulating Self-Avoiding Isometric Plate Bending

Inspired by recent results on self-avoiding inextensible curves, we prop...

0 Sören Bartels, et al. ∙

research

∙ 11/21/2019

A converging finite element scheme for motion by curvature of a network with a triple junction

A new semi-discrete finite element scheme for the evolution of three par...

0 Paola Pozzi, et al. ∙

research

∙ 12/13/2021

Stabilized finite element methods for a fully-implicit logarithmic reformulation of the Oldroyd-B constitutive law

Logarithmic conformation reformulations for viscoelastic constitutive la...

0 Stefan Wittschieber, et al. ∙