The dual weighted residuals approach to optimal control of ordinary differential equations
Artikel i vetenskaplig tidskrift, 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
Författare
Karin Kraft
Göteborgs universitet
Chalmers, Matematiska vetenskaper, Matematik
Stig Larsson
Göteborgs universitet
Chalmers, Matematiska vetenskaper, Matematik
BIT (Copenhagen)
0006-3835 (ISSN) 15729125 (eISSN)
Vol. 50 3 587-607Ämneskategorier
Beräkningsmatematik
DOI
10.1007/s10543-010-0270-8