The dual weighted residuals approach to optimal control of ordinary differential equations
Journal article, 2010
The methodology of dual weighted residuals is applied to an optimal control problem for ordinary differential equations. The differential equations are discretized by finite element methods. An a posteriori error estimate is derived and an adaptive algorithm is formulated. The algorithm is implemented in Matlab and tested on a simple model problem from vehicle dynamics.
vehicle dynamics
boundary value problem
a posteriori
differential-algebraic
Finite element
adaptive
error estimate
dual weighted residual
Author
Karin Kraft
University of Gothenburg
Chalmers, Mathematical Sciences, Mathematics
Stig Larsson
University of Gothenburg
Chalmers, Mathematical Sciences, Mathematics
BIT (Copenhagen)
0006-3835 (ISSN) 15729125 (eISSN)
Vol. 50 3 587-607Subject Categories
Computational Mathematics
DOI
10.1007/s10543-010-0270-8