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Variational integrators of higher order for constrained dynamical systems
Author(s) -
Wenger Theresa,
OberBlöbaum Sina,
Leyendecker Sigrid
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610376
Subject(s) - variational integrator , integrator , holonomic constraints , holonomic , mathematics , convergence (economics) , order (exchange) , galerkin method , extension (predicate logic) , mathematical optimization , control theory (sociology) , computer science , classical mechanics , physics , nonlinear system , computer network , control (management) , bandwidth (computing) , finance , artificial intelligence , quantum mechanics , economics , economic growth , programming language
The variational integrators presented in [5] are applied to systems with holonomic constraints, yielding constrained higher order variational integrators that are an extension of the constrained Galerkin methods in [4]. The construction of the integrators bases on a discrete version of Hamilton's principle. The inheritance of qualitative properties associated to the solution of the dynamical system to the discrete solution is analysed. Furthermore, the convergence order of the integrators and the computational efficiency is investigated numerically. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)