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

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

In 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...

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Veröffentlicht in:Communications in nonlinear science & numerical simulation 2014-10, Vol.19 (10), p.3492-3512
Hauptverfasser: Demoures, Francois, Gay-Balmaz, Francois, Kobilarov, Marin, Ratiu, Tudor S.
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Mathematics
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container_end_page 3512
container_issue 10
container_start_page 3492
container_title Communications in nonlinear science & numerical simulation
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creator Demoures, Francois
Gay-Balmaz, Francois
Kobilarov, Marin
Ratiu, Tudor S.
description In 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.
doi_str_mv 10.1016/j.cnsns.2014.02.032
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Mathematics
title Multisymplectic Lie group variational integrator for a geometrically exact beam in R-3
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