Multisymplectic Lie group variational integrator for a geometrically exact beam in R3

Autor:	Demoures, François, Gay-Balmaz, François, Kobilarov, Marin, Ratiu, Tudor S.
Rok vydání:	2014
Předmět:	Mathematics - Numerical Analysis Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
DOI:	10.1016/j.cnsns.2014.02.032
Popis:	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. Comment: Article in press. 22 pages, 18 figures. Received 20 November 2013, Received in revised form 26 February 2014, Accepted 27 February 2014. Communications in Nonlinear Science and Numerical Simulation. 2014
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1403.5410 Zobrazit plný text záznamu View this record from Arxiv