A gradient based numerical approach to simulate elastic rod

DOI10.1016/J.MATCOM.2021.07.001OpenAlexW3180786678MaRDI QIDQ2666305

Abdul Majid

Publication date: 22 November 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2021.07.001

zbMATH Keywords

preconditioningconjugate gradientinextensibilitybending energytwist energy

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Fluid mechanics (76-XX)

Uses Software

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Cites Work

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• Continuation of equilibria and stability of slender elastic rods using an asymptotic numerical method
• Approximate solutions to Poisson-Boltzmann systems with Sobolev gradients
• Non-linear dynamic intertwining of rods with self-contact
• Application of Sobolev gradient method to Poisson-Boltzmann system
• A Sobolev gradient method for construction of elastic curves in regular surfaces
• Kirchhoff's theory of rods
• Biological applications of the dynamics of twisted elastic rods
• Constructing fair curves and surfaces with a Sobolev gradient method
• Twisted elastic rings and the rediscoveries of Michell's instability
• Sobolev gradient preconditioning for image‐processing PDEs
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• Minimal Surfaces and Sobolev Gradients
• Lagrangian Aspects of the Kirchhoff Elastic Rod
• Dynamics of an open elastic rod with intrinsic curvature and twist in a viscous fluid

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