메뉴 건너뛰기




Volumn 15, Issue 9, 2005, Pages 1393-1416

The water conveyance problem: Optimal purification of polluted waters

Author keywords

Numerical optimization; Optimal control; Pollution; Shallow water

Indexed keywords


EID: 23944481380     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202505000790     Document Type: Article
Times cited : (16)

References (21)
  • 2
    • 0028498650 scopus 로고
    • Recent developments in the numerical simulation of shallow water equations 1: Boundary conditions
    • V. I. Agoshkov, A. Quarteroni and F. Saleri, Recent developments in the numerical simulation of shallow water equations 1: Boundary conditions, Appl. Numer. Math. 15 (1994) 175-200.
    • (1994) Appl. Numer. Math. , vol.15 , pp. 175-200
    • Agoshkov, V.I.1    Quarteroni, A.2    Saleri, F.3
  • 6
  • 7
    • 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. 11 (1991) 79-97.
    • (1991) IMA J. Numer. Anal. , vol.11 , pp. 79-97
    • Bermúdez, A.1    Rodríguez, C.2    Vilar, M.A.3
  • 8
    • 0003199436 scopus 로고
    • Mathematical techniques for some environmental problems related to water
    • eds. J. I. Díaz and J. L. Lions (Masson)
    • A. Bermúdez, Mathematical techniques for some environmental problems related to water, in Mathematics, Climate and Environment, eds. J. I. Díaz and J. L. Lions (Masson, 1993).
    • (1993) Mathematics, Climate and Environment
    • Bermúdez, A.1
  • 10
    • 0000631470 scopus 로고    scopus 로고
    • Some smoothness and uniqueness results for a shallow-water problem
    • F. J. Chatelon and P. Orenga, Some smoothness and uniqueness results for a shallow-water problem, Adv. Differential Eqns. 3 (1998) 155-176.
    • (1998) Adv. Differential Eqns. , vol.3 , pp. 155-176
    • Chatelon, F.J.1    Orenga, P.2
  • 11
    • 0011013256 scopus 로고    scopus 로고
    • Finite element approximations to the system of shallow water equations I. Continuous-time a priori error estimates
    • S. Chippada, C. N. Dawson, M. L. Martinez and M. F. Wheeler, Finite element approximations to the system of shallow water equations I. Continuous-time a priori error estimates, SIAM J. Numer. Anal. 35 (1998) 692-711.
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 692-711
    • Chippada, S.1    Dawson, C.N.2    Martinez, M.L.3    Wheeler, M.F.4
  • 12
    • 84984423987 scopus 로고
    • Three-step explicit finite element computation of shallow water flows on a massively parallel computer
    • K. Kashiyama, H. Ito, M. Behr and T. Tezduyar, Three-step explicit finite element computation of shallow water flows on a massively parallel computer, Int. J. Numer. Meth. Fluids 21 (1995) 885-900.
    • (1995) Int. J. Numer. Meth. Fluids , vol.21 , pp. 885-900
    • Kashiyama, K.1    Ito, H.2    Behr, M.3    Tezduyar, T.4
  • 13
    • 0001139342 scopus 로고
    • Global existence of classical solutions in the dissipative shallow water equations
    • P. E. Kloeden, Global existence of classical solutions in the dissipative shallow water equations, SIAM J. Math. Anal 16 (1985) 301-315.
    • (1985) SIAM J. Math. Anal , vol.16 , pp. 301-315
    • Kloeden, P.E.1
  • 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. 38 (2000) 1534-1553.
    • (2000) SIAM J. Control Optim. , vol.38 , pp. 1534-1553
    • Martínez, A.1    Rodríguez, C.2    Vázquez-Méndez, M.E.3
  • 17
    • 0018030846 scopus 로고
    • Theoretical and practical aspects of some initial boundary value problems in fluid dynamics
    • J. Oliger and A. Sundström, Theoretical and practical aspects of some initial boundary value problems in fluid dynamics, SIAM J. Appl. Math. 35 (1978) 419-446.
    • (1978) SIAM J. Appl. Math. , vol.35 , pp. 419-446
    • Oliger, J.1    Sundström, A.2
  • 18
    • 16244404505 scopus 로고
    • A theorem on the existence of solutions of a shallow-water problem
    • P. Orenga, A theorem on the existence of solutions of a shallow-water problem, Arch. Rat. Mech. Anal. 130 (1995) 183-204.
    • (1995) Arch. Rat. Mech. Anal. , vol.130 , pp. 183-204
    • Orenga, P.1
  • 19
    • 0001175293 scopus 로고
    • A mixed finite element method for 2nd order elliptic problems
    • Lecture Notes in Math., eds. I. Galligani and E. Magenes (Springer)
    • P. A. Raviart and J. M. Thomas, A mixed finite element method for 2nd order elliptic problems, in Mathematical Aspects of Finite Element Methods, Lecture Notes in Math., Vol. 606, eds. I. Galligani and E. Magenes (Springer, 1977).
    • (1977) Mathematical Aspects of Finite Element Methods , vol.606
    • Raviart, P.A.1    Thomas, J.M.2
  • 20
    • 0032337006 scopus 로고    scopus 로고
    • Global existence for the Cauchy problem for the viscous shallow water equations
    • L. Sundbye, Global existence for the Cauchy problem for the viscous shallow water equations, Rocky Mountain J. Math. 28 (1998) 1135-1152.
    • (1998) Rocky Mountain J. Math. , vol.28 , pp. 1135-1152
    • Sundbye, L.1
  • 21
    • 0011649201 scopus 로고
    • Existence and uniqueness of a classical solution of an initial-boundary value problem of the theory of shallow waters
    • B. A. Ton, Existence and uniqueness of a classical solution of an initial-boundary value problem of the theory of shallow waters, SIAM J. Math. Anal. 12 (1981) 229-241.
    • (1981) SIAM J. Math. Anal. , vol.12 , pp. 229-241
    • Ton, B.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.