Computing confined elasticae
Numerical Analysis
2022-03-18 v1 Numerical Analysis
Abstract
A numerical scheme for computing arc-length parametrized curves of low bending energy that are confined to convex domains is devised. The convergence of the discrete formulations to a continuous model and the unconditional stability of an iterative scheme are addressed. Numerical simulations confirm the theoretical results and lead to a classification of observed optimal curves within spheres.
Keywords
Cite
@article{arxiv.2203.09453,
title = {Computing confined elasticae},
author = {Sören Bartels and Pascal Weyer},
journal= {arXiv preprint arXiv:2203.09453},
year = {2022}
}