Optimal management of a bioreactor for eutrophicated water treatment: a numerical approach

DOI10.1007/s10915-009-9344-7zbMath1203.65170OpenAlexW2088843261MaRDI QIDQ618564

Francisco J. Fernández, Aurea Martínez, Lino Jose Alvarez-Vázquez

Publication date: 16 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-009-9344-7

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Classical flows, reactions, etc. in chemistry (92E20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

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Uses Software

• Ipopt
• SQPlab

Cites Work

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• Mathematical analysis of a three-dimensional eutrophication model
• Multi-objective Pareto-optimal control: An application to wastewater management
• Pareto-optimal solutions for a wastewater treatment problem
• The defect correction principle and discretization methods
• Pontryagin's principle for time-optimal problems
• Failure of global convergence for a class of interior point methods for nonlinear programming
• On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
• Interior Methods for Nonlinear Optimization
• A Globally Convergent Linearly Constrained Lagrangian Method for Nonlinear Optimization
• Line Search Filter Methods for Nonlinear Programming: Motivation and Global Convergence
• Time optimal problems with boundary controls

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