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)

Vol. 50 3 587-607

Subject Categories

Computational Mathematics

DOI

10.1007/s10543-010-0270-8

More information

Created

10/7/2017