November 8, 2025Open Access

Quasi-optimal error estimate for the approximation of the elastic flow of inextensible curves

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Convergence proves significant improvements in approximating elastic flow dynamics over discrete models.
Key evidence indicates the stability proof reinforces the reliability of the approximation methods used.
Approach employs a semi-discrete problem combined with a fully discrete time-stepping scheme to enhance solution accuracy.
Significance highlights potential advancements in computational techniques for simulating inextensible curves through refined error estimates.

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Assessment shows quasi-optimal convergence and stability of numerical simulations for elastic flow of inextensible curves.

Bartels et al. (2025) studied this question.

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