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Article Dans Une Revue Communications in Nonlinear Science and Numerical Simulation Année : 2014

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

Résumé

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.

Dates et versions

hal-01086681 , version 1 (24-11-2014)

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Francois Demoures, Francois Gay-Balmaz, Marin Kobilarov, Tudor S. Ratiu. Multisymplectic Lie group variational integrator for a geometrically exact beam in R-3. Communications in Nonlinear Science and Numerical Simulation, 2014, 19 (10), pp.3492-3512. ⟨10.1016/j.cnsns.2014.02.032⟩. ⟨hal-01086681⟩
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