SIAM Journal on Control and Optimization
Theoretical and Numerical Analysis of an Optimal Control Problem Related to Wastewater Treatment
SIAM Journal on Control and Optimization
A wastewater treatment problem: study of the numerical convergence
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics
Numerical Optimization for the Location of Wastewater Outfalls
Computational Optimization and Applications
Some Methods for Nonlinear Multi-objective Optimization
EMO '01 Proceedings of the First International Conference on Evolutionary Multi-Criterion Optimization
Multi-objective Pareto-optimal control: an application to wastewater management
Computational Optimization and Applications
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Wastewater treatment has become one of the most important environmental problems, especially for the particular case of urban areas. In this work we use numerical simulation, and combine optimal control theory of partial differential equations with multi-objective optimization techniques to formulate and solve this type of problems. Specifically, the main objective of this paper is to detail the mathematical tools that we can use in order to assess in decision making related to determining the sewage depuration intensities in a wastewater treatment system. We show the usefulness of our techniques by solving a realistic problem posed in the estuary of Vigo (NW Spain) with the free software SOS, recently developed by the authors.