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The dual weighted residuals approach to optimal control of ordinary differential equations

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, 412 96, Gothenburg, Sweden

    Karin Kraft & Stig Larsson

Authors
  1. Karin Kraft
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  2. Stig Larsson
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Corresponding author

Correspondence to Karin Kraft.

Additional information

Communicated by Hans Petter Langtangen.

Research supported in part by the Swedish Foundation for Strategic Research through GMMC, the Gothenburg Mathematical Modelling Centre.

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Kraft, K., Larsson, S. The dual weighted residuals approach to optimal control of ordinary differential equations. Bit Numer Math 50, 587–607 (2010). https://doi.org/10.1007/s10543-010-0270-8

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  • DOI: https://doi.org/10.1007/s10543-010-0270-8

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