Exact energy-conserving and linear discretization scheme for geometrically non-linear models
Résumé
In this contribution, we discuss a discretization scheme for geometrically non linear mechanical models that give rise to an exact energy balance, but only requires a solution of a linear system. The system is rewritten in Hamiltonian form using a Poisson bracket. By combining an implicit midpoint integration on the energy part and a Störmer-Verlet integrator for the displacement-like variable, the resulting scheme conserves the energy exactly, while only requiring the solution of a linear system
| Origine | Fichiers produits par l'(les) auteur(s) |
|---|