Multisymplectic Lie group variational integrator for a geometrically exact beam in R-3

Demoures, Francois
Gay-Balmaz, Francois
Kobilarov, Marin
Ratiu, Tudor S.

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Publication date

January 2014

DOI

10.1016/j.cnsns.2014.02.032

Publisher

Elsevier

Abstract

International audienceIn this paper we develop, study, and test a Lie group multisymplectic integrator 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. (C) 2014 Elsevier B.V. All rights reserved

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Multisymplectic Lie group variational integrator for a geometrically exact beam in R-3

Abstract

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Multisymplectic Lie group variational integrator for a geometrically exact beam in R-3

Abstract

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