info:eu-repo/semantics/article
Error analysis of forced discrete mechanical systems
Fecha
2021-12Registro en:
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
1941-4889
CONICET Digital
CONICET
Autor
Fernandez, Javier
Graiff Zurita, Sebastián Elías
Grillo, Sergio Daniel
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.