RATTLie: a variational Lie group integration scheme for constrained mechanical systems

DOI10.1016/j.cam.2019.112492zbMath1460.65156OpenAlexW2979244002WikidataQ115359794 ScholiaQ115359794MaRDI QIDQ2223805

Stefan Hante, Martin Arnold

Publication date: 3 February 2021

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2019.112492

zbMATH Keywords

geometric integrationvariational integratorconstrained systems

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items (2)

B-stability of numerical integrators on Riemannian manifolds ⋮ A Lie group variational integration approach to the full discretization of a constrained geometrically exact Cosserat beam model

Cites Work

• Unnamed Item
• Numerical aspects in the dynamic simulation of geometrically exact rods
• Multi-body dynamics simulation of geometrically exact Cosserat rods
• RATTLE: A velocity version of the SHAKE algorithm for molecular dynamics calculations
• On the dynamics in space of rods undergoing large motions - A geometrically exact approach
• A perturbation analysis for the dynamical simulation of mechanical multibody systems
• Discrete variational Lie group formulation of geometrically exact beam dynamics
• Spectral variational integrators
• Lie group variational integrators for the full body problem
• Discrete mechanics and variational integrators
• Geometric Numerical Integration
• Variational integrators for constrained dynamical systems

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