JIMO
Control parametrization and finite element method for controlling multi-species reactive transport in a circular pool
Heung Wing Joseph Lee Chi Kin Chan Karho Yau Kar Hung Wong Colin Myburgh
Journal of Industrial & Management Optimization 2013, 9(3): 505-524 doi: 10.3934/jimo.2013.9.505
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.
keywords: Galerkin Scheme Species concentration control parametrization circular pool non-negativity requirement of state variables. optimal control

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