Tangent-point energies and ropelength as gamma-limits of discrete tangent-point energies on biarc curves
From MaRDI portal
Publication:2679383
DOI10.1186/s13662-022-03750-4OpenAlexW4317039598MaRDI QIDQ2679383
Anna Lagemann, Heiko von der Mosel
Publication date: 20 January 2023
Published in: Advances in Continuous and Discrete Models (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.16383
Cites Work
- Linear functional analysis. An application-oriented introduction. Translated from the 6th German edition by Robert Nürnberg
- On some knot energies involving Menger curvature
- Energy of a knot
- Global curvature and self-contact of nonlinearly elastic curves and rods
- On the minimum ropelength of knots and links
- Global curvature for rectifiable loops
- Regularity theory for tangent-point energies: the non-degenerate sub-critical case
- Curves between Lipschitz and \(C^1\) and their relation to geometric knot theory
- THE ENERGY SPACES OF THE TANGENT POINT ENERGIES
- Shapes of tight composite knots
- Discrete Möbius energy
- TANGENT-POINT SELF-AVOIDANCE ENERGIES FOR CURVES
- Global curvature, thickness, and the ideal shapes of knots
- A simple scheme for the approximation of self-avoiding inextensible curves
- Knot Tightening by Constrained Gradient Descent
- Stability of a simple scheme for the approximation of elastic knots and self-avoiding inextensible curves
- Variational convergence of discrete elasticae
- Discrete knot energies
- POLYGONAL APPROXIMATION AND ENERGY OF SMOOTH KNOTS
- The ropelength of complex knots
- Discrete thickness
- Banach gradient flows for various families of knot energies
- A speed preserving Hilbert gradient flow for generalized integral Menger curvature
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Tangent-point energies and ropelength as gamma-limits of discrete tangent-point energies on biarc curves
