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arXiv · 2203.09453

Computing confined elasticae

Sören Bartels·Pascal Weyer
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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.

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Sören Bartels, Pascal Weyer. 2022-03-17. Computing confined elasticae. https://arxiv.org/abs/2203.09453

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