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

Journal of Scientific Computing

Volumn 43, Issue 1, 2010, Pages 67-91

  Alvarez Vázquez, Lino J ^a   Fernández, Francisco J ^b   Martínez, Aurea ^a  

^a UNIVERSITY OF VIGO   (Spain)

^b UNIVERSITY OF SANTIAGO DE COMPOSTELA   (Spain)

Author keywords

Bioreactor; Eutrophication; Numerical optimization; Optimal control

Indexed keywords

CONSTRAINED OPTIMAL CONTROL PROBLEMS; CONTROL PROBLEMS; DISCRETE-STATE SYSTEMS; NUMERICAL ALGORITHMS; NUMERICAL APPROACHES; NUMERICAL OPTIMIZATIONS; NUMERICAL RESOLUTION; OBJECTIVE FUNCTIONS; OPTIMAL CONTROL; OPTIMAL CONTROLS; OPTIMAL DESIGN; OPTIMAL MANAGEMENT; REAL-WORLD PROBLEM; STATE-CONTROL;

BIOCONVERSION; BIOLOGICAL WATER TREATMENT; BIOREACTORS; COMPUTATION THEORY; EUTROPHICATION; RESERVOIRS (WATER); STRUCTURED PROGRAMMING;

OPTIMIZATION;

EID: 77951130408     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10915-009-9344-7     Document Type: Article

References (22)

1. L.J. Alvarez-Vázquez F.J. Fernández R. Muñoz-Sola 2009 Mathematical analysis of a three-dimensional eutrophication model J. Math. Anal. Appl. 349 135 155 1147.92038 10.1016/j.jmaa.2008.08.031 2455737
2. Alvarez-Vázquez, L.J., Fernández, F.J.: Optimal control of a bioreactor. Preprint, University of Vigo (2008)
3. Alvarez-Vázquez, L.J., Fernández, F.J., Martínez, A.: Analysis of a time optimal control problem related to the management of a bioreactor. Preprint, University of Vigo (2009)
4. L.J. Alvarez-Vázquez N. García-Chan A. Martínez M.E. Vázquez-Méndez 2008 Multi-objective Pareto-optimal control: An application to wastewater management Comput. Optim. Appl. 10.1007/s10589-008- 9190-9
5. L.J. Alvarez-Vázquez N. García-Chan A. Martínez M.E. Vázquez-Méndez 2009 Pareto-optimal solutions for a wastewater treatment problem J. Comput. Appl. Math. 10.1016/j.cam.2009.08.076
6. Bonnans, J.F., Gilbert, J.C., Lemaréchal, C., Sagastizábal, C.: Numerical Optimization. Springer, Berlin (2006)
7. Canale, R.P.: Modeling Biochemical Processes in Aquatic Ecosystems. Ann Arbor Science Publishers, Ann Arbor (2005)
8. M. Drago B. Cescon L. Iovenitti 2001 A three-dimensional numerical model for eutrophication and pollutant transport Ecol. Model. 145 17 34 10.1016/S0304-3800(01)00384-2 (Pubitemid 33136668)
9. A. Forsgren P.E. Gill M.H. Wright 2002 Interior methods for nonlinear optimization SIAM Rev. 44 525 597 1028.90060 10.1137/S0036144502414942 1980444
10. M.P. Friedlander M.A. Saunders 2005 A globally convergent linearly constrained Lagrangian method for nonlinear optimization SIAM J. Optim. 15 863 897 1077.90065 10.1137/S1052623402419789 2142864 (Pubitemid 41156919)
11. R. Goldyn E. Szelag-Wasielewska 2005 The effects of two shallow reservoirs on the phyto- and bacterio-plankton of lowland river Pol. J. Environ. Stud. 14 437 444
12. Nocedal, J., Wright, S.J.: Numerical Optimization. Springer, New York (2006)
13. L. Paul 2003 Nutrient elimination in pre-dams: Results of long term studies Hydrobiologia 504 289 295 10.1023/B:HYDR.0000008528.34920.b2 (Pubitemid 38092612)
14. K. Pütz J. Benndorf 1998 The importance of pre-reservoirs for the control of eutrophication of reservoirs Water Sci. Technol. 37 317 324
15. J.P. Raymond H. Zidani 1999 Pontryagin's principle for time-optimal problems J. Optim. Theory Appl. 101 375 402 0952.49020 10.1023/A:1021793611520 1684676
16. J.P. Raymond H. Zidani 2000 Time optimal problems with boundary controls Differ. Integral Equ. 13 1039 1072 0983.49016 1775245
17. W. Scharf 2007 Biomanipulation as a useful water quality management tool in deep stratifying reservoirs Hydrobiologia 583 21 42 10.1007/s10750-006-0471-y (Pubitemid 46525415)
18. H.J. Stetter 1978 The defect correction principle and discretization methods Numer. Math. 29 425 443 0362.65052 10.1007/BF01432879 474803
19. A. Wächter L.T. Biegler 2000 Failure of global convergence for a class of interior point methods for nonlinear programming Math. Program. 88 565 574 0963.65063 10.1007/PL00011386 1782156
20. A. Wächter L.T. Biegler 2005 Line search filter methods for nonlinear programming: motivation and global convergence SIAM J. Optim. 16 1 31 1114.90128 10.1137/S1052623403426556 2177767
21. A. Wächter L.T. Biegler 2006 On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming Math. Program. 106 25 57 1134.90542 10.1007/s10107-004-0559-y 2195616 (Pubitemid 41813168)
22. Zienkiewicz, O.C., Taylor, R.L.: The Finite Element Method, vol. 1. Butterworth-Heinemann, Oxford (2000)