Presented by:
Sigrid Leyendecker
Date:
Wednesday 4th September 2019 - 15:00 to 16:00
Venue:
INI Seminar Room 2
Event:
Abstract:
Mechanical
systems with dynamics on varying time scales, e.g. including highly oscillatory
motion, impose challenging questions for numerical integration schemes. High
resolution is required to guarantee a stable integration of the fast
frequencies. However, for the simulation of the slow dynamics, integration with
a lower resolution is accurate enough - and computationally cheaper, especially
for costly function evaluations. Two approaches are presented, a mixed order
Galerkin variational integrator and a multirate variational integrator, and
analysed with respect to the preservation of invariants, computational costs,
accuracy and linear stability.
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