Using an adaptive FEM to determine the optimal control of a
vehicle during a collision avoidance manoeuvre

K. Kraft, S. Larsson, and M. Lidberg

Proceedings of The 48th Scandinavian Conference on
Simulation and Modeling (SIMS 2007), 
Peter Bunus, Dag Fritzson and Claus Führer (eds), 
Linköping University Electronic Press,  
http://www.ep.liu.se/ecp/027/015/

Abstract
The optimal manoeuvering of a vehicle during a collision
avoidance manoeuvre is investigated. A basic model where
the vehicle is modelled by a mass-particle and the mathematical
formulation of the optimal manoeuvre are presented.
The resulting two-point boundary problem is solved
by an adaptive finite element method and the theory behind
this method is described.