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)

Vol. 50 587-607

Ämneskategorier

Beräkningsmatematik

DOI

10.1007/s10543-010-0270-8