메뉴 건너뛰기




Volumn 22, Issue 3, 2002, Pages 399-417

Numerical optimization for the location of wastewater outfalls

Author keywords

Duality method; Interior point algorithm; Nelder Mead method; Optimal control; Optimal location of wastewater outfall

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; GALERKIN METHODS; OPTIMAL CONTROL SYSTEMS; OUTFALLS; PROBLEM SOLVING; SEWAGE TREATMENT; WASTEWATER;

EID: 0036737604     PISSN: 09266003     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1019767123324     Document Type: Article
Times cited : (28)

References (18)
  • 4
    • 0003327942 scopus 로고    scopus 로고
    • Mathematical modelling and optimal control methods in water pollution
    • J.I. Díaz (Ed.), Springer-Verlag: Berlin
    • A. Bermúdez, "Mathematical modelling and optimal control methods in water pollution," in The Mathematics of Models for Climatology and Environment. J.I. Díaz (Ed.), Springer-Verlag: Berlin, 1997.
    • (1997) The Mathematics of Models for Climatology and Environment
    • Bermúdez, A.1
  • 5
    • 0001959446 scopus 로고
    • Un problème de contrôle ponctuel lié à l'emplacement optimal d'émissaires d'evacuation sous-marine
    • A. Bermúdez, A. Martínez, and C. Rodríguez, "Un problème de contrôle ponctuel lié à l'emplacement optimal d'émissaires d'evacuation sous-marine," C.R. Acad. Sci. Paris, Ser. I, vol. 313, pp. 515-518, 1991.
    • (1991) C.R. Acad. Sci. Paris, Ser. I , vol.313 , pp. 515-518
    • Bermúdez, A.1    Martínez, A.2    Rodríguez, C.3
  • 6
    • 0002567973 scopus 로고
    • Solving shallow water equations by a mixed implicit finite element method
    • A. Bermúdez, C. Rodríguez, and M.A. Vilar, "Solving shallow water equations by a mixed implicit finite element method," IMA J. Numer. Anal., vol. 11, pp. 79-97, 1991.
    • (1991) IMA J. Numer. Anal. , vol.11 , pp. 79-97
    • Bermúdez, A.1    Rodríguez, C.2    Vilar, M.A.3
  • 7
    • 0002510176 scopus 로고
    • Controle des systemes elliptiques semilineaires comportant des contraintes sur l'etat
    • H. Brezis and J.L. Lions (Eds.), Longman: New York
    • F. Bonnans and E. Casas, "Controle des systemes elliptiques semilineaires comportant des contraintes sur I'etat," in Nonlinear Partial Differential Equations and Applications, vol. 8. H. Brezis and J.L. Lions (Eds.), Longman: New York, 1988.
    • (1988) Nonlinear Partial Differential Equations and Applications , vol.8
    • Bonnans, F.1    Casas, E.2
  • 8
    • 0031189751 scopus 로고    scopus 로고
    • Pontryagin's principle for state constrained boundary control problems of semilinear parabolic equations
    • E. Casas, "Pontryagin's principle for state constrained boundary control problems of semilinear parabolic equations," SIAM J. Control Optim., vol. 35, pp. 1297-1327, 1997.
    • (1997) SIAM J. Control Optim. , vol.35 , pp. 1297-1327
    • Casas, E.1
  • 9
    • 34250293137 scopus 로고
    • A globally convergent method for nonlinear optimization
    • S.P. Han, "A globally convergent method for nonlinear optimization," J. Optim.Theory Appl., vol. 22, pp. 297-309, 1977.
    • (1977) J. Optim. Theory Appl. , vol.22 , pp. 297-309
    • Han, S.P.1
  • 10
    • 0022789973 scopus 로고
    • A two stage feasible directions algorithm for nonlinear constrained optimization
    • J. Herskovits, "A two stage feasible directions algorithm for nonlinear constrained optimization," Math. Programming, vol. 36, pp. 19-38, 1986.
    • (1986) Math. Programming , vol.36 , pp. 19-38
    • Herskovits, J.1
  • 11
    • 0032334030 scopus 로고    scopus 로고
    • A feasible directions interior point technique for nonlinear optimization
    • J. Herskovits, "A feasible directions interior point technique for nonlinear optimization," J. Optim. Theory Appl., vol. 99, pp. 121-146, 1998.
    • (1998) J. Optim. Theory Appl. , vol.99 , pp. 121-146
    • Herskovits, J.1
  • 12
    • 0033274347 scopus 로고    scopus 로고
    • Detection and remediation of stagnation in the Nelder-Mead algorithm using a sufficient decrease condition
    • C.T. Kelley, "Detection and remediation of stagnation in the Nelder-Mead algorithm using a sufficient decrease condition," SIAM J. Optim., vol. 10, pp. 43-55, 1999.
    • (1999) SIAM J. Optim. , vol.10 , pp. 43-55
    • Kelley, C.T.1
  • 13
    • 0032251894 scopus 로고    scopus 로고
    • Convergence properties of the Nelder-Mead simplex algorithm in low dimensions
    • J.C. Lagarias, J.A. Reeds, M.H. Wright, and P.E. Wright, "Convergence properties of the Nelder-Mead simplex algorithm in low dimensions," SIAM J. Optim., vol. 9, pp. 112-147, 1998.
    • (1998) SIAM J. Optim. , vol.9 , pp. 112-147
    • Lagarias, J.C.1    Reeds, J.A.2    Wright, M.H.3    Wright, P.E.4
  • 14
  • 15
    • 0343789636 scopus 로고    scopus 로고
    • Theoretical and numerical analysis of an optimal control problem related to wastewater treatment
    • A. Martínez, C. Rodríguez, and M.E. Vázquez-Méndez, "Theoretical and numerical analysis of an optimal control problem related to wastewater treatment," SIAM J. Control Optim., vol. 38, pp. 1534-1553, 2000.
    • (2000) SIAM J. Control Optim. , vol.38 , pp. 1534-1553
    • Martínez, A.1    Rodríguez, C.2    Vázquez-Méndez, M.E.3
  • 16
    • 0000238336 scopus 로고
    • A simplex method for function minimization
    • J.A. Nelder and R. Mead, "A simplex method for function minimization," Comput. J., vol. 7, pp. 308-313, 1965.
    • (1965) Comput. J. , vol.7 , pp. 308-313
    • Nelder, J.A.1    Mead, R.2
  • 17
    • 0024036003 scopus 로고
    • A QP-free globally convergent locally superlinearly convergent algorithm for inequality constrained optimization
    • E.R. Panier, A.L. Tits, and J. Herskovits, "A QP-free globally convergent locally superlinearly convergent algorithm for inequality constrained optimization," SIAM J. Control Optim., vol. 26, pp. 788-810, 1988.
    • (1988) SIAM J. Control Optim. , vol.26 , pp. 788-810
    • Panier, E.R.1    Tits, A.L.2    Herskovits, J.3
  • 18
    • 0000195048 scopus 로고
    • Finite element convergence for singular data
    • R. Scott, "Finite element convergence for singular data," Numer. Math., vol. 21, pp. 317-327, 1973.
    • (1973) Numer. Math. , vol.21 , pp. 317-327
    • Scott, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.