Discrete dynamics of complex bodies with substructural dissipation: variational integrators and convergence
Mathematical Physics
2008-03-12 v1 Analysis of PDEs
math.MP
Abstract
For the linearized setting of the dynamics of complex bodies we construct variational integrators and prove their convergence by making use of BV estimates on the rate fields. We allow for peculiar substructural inertia and internal dissipation, all accounted for by a d'Alembert-Lagrange-type principle.
Cite
@article{arxiv.0803.1653,
title = {Discrete dynamics of complex bodies with substructural dissipation: variational integrators and convergence},
author = {Matteo Focardi and Paolo Maria Mariano},
journal= {arXiv preprint arXiv:0803.1653},
year = {2008}
}
Comments
23 pages, in print on Discrete and Continuous Dynamical Systems B