Hamilton-Pontryagin variational integrators
نویسنده
چکیده
In this paper we discuss the applications of the Hamilton-Pontryagin variational principle for designing time-adaptive variational integrators. First, we review the multisymplectic formalism of field theories. Next, we review the Hamilton-Pontryagin principle and show how it can be used to handle time reparametrizations in a very natural way. Finally, we derive a time-adaptive variational integrator for a mechanical system and present the results of our numerical simulations.
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Hamilton-Pontryagin Integrators on Lie Groups Part I: Introduction and Structure-Preserving Properties
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