Artículo
Error analysis of forced discrete mechanical systems
Fecha de publicación:
12/2021
Editorial:
American Institute of Mathematical Sciences
Revista:
Journal of Geometric Mechanics
ISSN:
1941-4889
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
The purpose of this paper is to perform an error analysis of the variational integrators of mechanical systems subject to external forcing. Es- sentially, we prove that when a discretization of contact order r of the La- grangian and force are used, the integrator has the same contact order. Our analysis is performed first for discrete forced mechanical systems defined over TQ, where we study the existence of ows, the construction and properties of discrete exact systems and the contact order of the ows (variational integra- tors) in terms of the contact order of the original systems. Then we use those results to derive the corresponding analysis for the analogous forced systems defined over Q x Q.
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Articulos(CCT - PATAGONIA NORTE)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - PATAGONIA NORTE
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - PATAGONIA NORTE
Citación
Fernandez, Javier; Graiff Zurita, Sebastián Elías; Grillo, Sergio Daniel; Error analysis of forced discrete mechanical systems; American Institute of Mathematical Sciences; Journal of Geometric Mechanics; 13; 4; 12-2021; 533-606
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