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Control Parametrization and Finite Element Method for Controlling Multi-species Reactive Transport in a Rectangular Diffuser Unit

Author

Listed:
  • K. H. Wong

    (University of the Witwatersrands)

  • H. W. J. Lee

    (The Hong Kong Polytechnic University)

  • C. K. Chan

    (The Hong Kong Polytechnic University)

Abstract

The paper describes a problem involving optimal effluent release in a rectangular diffuser unit. The total amount of effluent released is to be maximized while observing given concentration bounds at the release end of the unit. The effluent degrades while passing through the unit. A computational scheme using combined control parametrization and finite element method is developed for solving the problem. Numerical examples have been solved to illustrate the efficiency of our method.

Suggested Citation

  • K. H. Wong & H. W. J. Lee & C. K. Chan, 2011. "Control Parametrization and Finite Element Method for Controlling Multi-species Reactive Transport in a Rectangular Diffuser Unit," Journal of Optimization Theory and Applications, Springer, vol. 150(1), pages 118-141, July.
    • Handle: RePEc:spr:joptap:v:150:y:2011:i:1:d:10.1007_s10957-011-9826-2
    DOI: 10.1007/s10957-011-9826-2
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    Cited by:

    1. K. H. Wong & H. W. J. Lee & C. K. Chan & C. Myburgh, 2013. "Control Parametrization and Finite Element Method for Controlling Multi-species Reactive Transport in an Underground Channel," Journal of Optimization Theory and Applications, Springer, vol. 157(1), pages 168-187, April.

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