Multisymplectic Lie group variational integrator for a geometrically exact beam in R3
Demoures, François; Gay-Balmaz, François; Kobilarov, Marin; Ratiu, Tudor S.
2014

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Abstract

In this paper we develop, study, and test a Lie group multisymplectic integra- tor for geometrically exact beams based on the covariant Lagrangian formulation. We exploit the multisymplectic character of the integrator to analyze the energy and momentum map conservations associated to the temporal and spatial discrete evolutions.

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Title Multisymplectic Lie group variational integrator for a geometrically exact beam in R3
Author(s) Demoures, François ; Gay-Balmaz, François ; Kobilarov, Marin ; Ratiu, Tudor S.
Published in Communications in Nonlinear Science and Numerical Simulation
Volume 19
Issue 10
Pages 3492-3512
Date 2014
Publisher Elsevier
ISSN 1007-5704
Keywords
DOI https://doi.org/10.1016/j.cnsns.2014.02.032
Other identifier(s) View record in Web of Science
Laboratories CAG2
Record Appears in Scientific production and competences > SB - School of Basic Sciences > SB Archives > CAG2 - Chair of Algebraic Geometry (closed)
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date 2014-03-04

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