On the geometry of discrete contact mechanics
Mathematical Physics
2021-05-05 v1 Numerical Analysis
math.MP
Numerical Analysis
Abstract
In this paper, we continue the construction of variational integrators adapted to contact geometry started in \cite{VBS}, in particular, we introduce a discrete Herglotz Principle and the corresponding discrete Herglotz Equations for a discrete Lagrangian in the contact setting. This allows us to develop convenient numerical integrators for contact Lagrangian systems that are conformally contact by construction. The existence of an exact Lagrangian function is also discussed.
Keywords
Cite
@article{arxiv.2003.11892,
title = {On the geometry of discrete contact mechanics},
author = {Alexandre Anahory Simoes and David Martín de Diego and Manuel de León and Manuel Lainz Valcázar},
journal= {arXiv preprint arXiv:2003.11892},
year = {2021}
}