Multisymplectic variational integrators for PDEs of geometrically exact beam dynamics using algorithmic differentiation | Zendy

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Multisymplectic variational integrators for PDEs of geometrically exact beam dynamics using algorithmic differentiation

Author(s) -

Leitz Thomas,

Leyendecker Sigrid

Publication year - 2016

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201610364

Subject(s) - variational integrator , computation , automatic differentiation , integrator , mathematics , euler's formula , lagrangian , beam (structure) , matrix (chemical analysis) , dynamics (music) , mathematical analysis , classical mechanics , physics , algorithm , quantum mechanics , materials science , optics , composite material , acoustics , voltage

For the simulation of geometrically exact beam dynamics [4], a multisymplectic Lie‐group variational integrator [3] is derived. Based on the implementation of the discrete Lagrangian, algorithmic differentiation is used in the computation of both, the discrete Euler‐Lagrange equations, and the Jacobi matrix needed for the Newton‐Raphson iteration. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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