Symplectic-Energy-Momentum Preserving Variational Integrators
Kane, C., J. E. Marsden and M. Ortiz
J. Math. Phys., 40, 3353-3371
Abstract:
The purpose of this paper is to develop variational
integrators for conservative mechanical systems that are symplectic,
energy and momentum conserving. To do this, a spacetime view of
variational integrators is employed and time step adaptation is used to
impose the constraint of conservation of energy. Criteria for the
solvability of the time steps and some numerical examples are given.
