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

K. H. Wong (), H. W. J. Lee () and C. K. Chan
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K. H. Wong: University of the Witwatersrands
H. W. J. Lee: The Hong Kong Polytechnic University
C. K. Chan: The Hong Kong Polytechnic University

Journal of Optimization Theory and Applications, 2011, vol. 150, issue 1, No 8, 118-141

Abstract: 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.

Keywords: Rectangular diffuser unit; Optimal control; Galerkin scheme; Control parametrization; Non-negativity requirement of state variables; Approximation of state equations (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-011-9826-2

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