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.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematical Physics
Mathematics
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Zusammenfassung: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.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2014.02.032