American Institute of Mathematical Sciences

July  2013, 9(3): 505-524. doi: 10.3934/jimo.2013.9.505

Control parametrization and finite element method for controlling multi-species reactive transport in a circular pool

 1 Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China, China 2 School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, South Africa, South Africa

Received  October 2011 Revised  October 2012 Published  April 2013

In this paper, we consider an optimal control problem for a cleaning program involving effluent discharge of several species in a circular pool. A computational scheme combining control parametrization and finite element method is used to develop a cleaning program to meet the environmental health requirements. A numerical example is solved to illustrate the efficiency of our method.
Citation: Heung Wing Joseph Lee, Chi Kin Chan, Karho Yau, Kar Hung Wong, Colin Myburgh. Control parametrization and finite element method for controlling multi-species reactive transport in a circular pool. Journal of Industrial & Management Optimization, 2013, 9 (3) : 505-524. doi: 10.3934/jimo.2013.9.505
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