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Control Parametrization and Finite Element Method for Controlling Multi-species Reactive Transport in an Underground Channel

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)

  • C. Myburgh

    (University of the Witwatersrands)

Abstract

In this paper, a cleaning program involving effluent discharge of several species in a one-dimensional underground channel is considered. Due to environmental health requirements, the outlet concentration of each species at any time during the entire cleaning activities has to be kept at a certain low level in order to offset the deteriorating effect of contaminant destruction. Thus, a computational scheme using combined control parametrization and finite element method is used to develop a cleaning program to meet the above environmental health requirements. Numerical examples have been used to illustrate the efficiency of our method.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:joptap:v:157:y:2013:i:1:d:10.1007_s10957-012-0148-9
    DOI: 10.1007/s10957-012-0148-9
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    References listed on IDEAS

    as
    1. 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.
    2. G. Vossen, 2010. "Switching Time Optimization for Bang-Bang and Singular Controls," Journal of Optimization Theory and Applications, Springer, vol. 144(2), pages 409-429, February.
    3. C.Y. Kaya & J.L. Noakes, 2003. "Computational Method for Time-Optimal Switching Control," Journal of Optimization Theory and Applications, Springer, vol. 117(1), pages 69-92, April.
    4. Bin Li & Chang Jun Yu & Kok Lay Teo & Guang Ren Duan, 2011. "An Exact Penalty Function Method for Continuous Inequality Constrained Optimal Control Problem," Journal of Optimization Theory and Applications, Springer, vol. 151(2), pages 260-291, November.
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