Computing confined elasticae
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Publication:6393996
DOI10.1186/S13662-022-03731-7arXiv2203.09453MaRDI QIDQ6393996
Publication date: 17 March 2022
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.
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Finite difference methods applied to problems in solid mechanics (74S20)
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