Theoretical and Numerical Analysis of an Optimal Control Problem Related to Wastewater Treatment
SIAM Journal on Control and Optimization
Nonmonotone Spectral Projected Gradient Methods on Convex Sets
SIAM Journal on Optimization
Numerical Optimization for the Location of Wastewater Outfalls
Computational Optimization and Applications
Journal of Computational and Applied Mathematics
A numerical method for nonconvex multi-objective optimal control problems
Computational Optimization and Applications
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This work treats, within a multi-objective framework, of an economical-ecological problem related to the optimal management of a wastewater treatment system consisting of several purifying plants. The problem is formulated as a multi-objective parabolic optimal control problem and it is studied from a cooperative point of view, looking for Pareto-optimal solutions. The weighting method is used here to characterize the Pareto solutions of our problem. To obtain them, a numerical algorithm--based in a characteristics-Galerkin discretization--is proposed and numerical results for a real world situation in the estuary of Vigo (NW Spain) are also presented.