Computing confined elasticae

03/17/2022

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by   Sören Bartels, et al.

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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.