메뉴 건너뛰기




Volumn 84, Issue 3, 2004, Pages 171-187

Second order methods for boundary control of the instationary Navier-Stokes system

Author keywords

Newton's method; Optimal boundary control; Second order sufficient conditions; Time dependent Navier Stokes equations

Indexed keywords


EID: 1542615357     PISSN: 00442267     EISSN: None     Source Type: Journal    
DOI: 10.1002/zamm.200310094     Document Type: Article
Times cited : (44)

References (25)
  • 1
    • 0000852499 scopus 로고    scopus 로고
    • Numerical solution of a flow-control problem: Vorticity reduction by dynamic boundary action
    • M. Berggren, Numerical solution of a flow-control problem: vorticity reduction by dynamic boundary action, SIAM J. Control Optim. 19, 829-860 (1998).
    • (1998) SIAM J. Control Optim. , vol.19 , pp. 829-860
    • Berggren, M.1
  • 3
    • 84942964039 scopus 로고
    • Output least squares stability for parameter estimation in two point value problems
    • F. Colonius and K. Kunisch, Output least squares stability for parameter estimation in two point value problems, J. Reine Angew. Math. 370, 1-29 (1986).
    • (1986) J. Reine Angew. Math. , vol.370 , pp. 1-29
    • Colonius, F.1    Kunisch, K.2
  • 7
    • 0002171573 scopus 로고
    • Concrete characterization of the domains of fractional powers of some elliptic differential operators of the second order
    • D. Fujiwara, Concrete characterization of the domains of fractional powers of some elliptic differential operators of the second order, Proc. Jpn. Acad. 43, 82-86 (1967).
    • (1967) Proc. Jpn. Acad. , vol.43 , pp. 82-86
    • Fujiwara, D.1
  • 9
    • 0032074249 scopus 로고    scopus 로고
    • Boundary value problems and optimal boundary control for the Navier-Stokes systems: The two-dimensional case
    • A. V. Fursikov, M.D. Gunzburger, and L. S. Hou, Boundary value problems and optimal boundary control for the Navier-Stokes systems: The two-dimensional case, SIAM J. Control Optim. 36, 852-894 (1998).
    • (1998) SIAM J. Control Optim. , vol.36 , pp. 852-894
    • Fursikov, A.V.1    Gunzburger, M.D.2    Hou, L.S.3
  • 12
    • 0031572072 scopus 로고    scopus 로고
    • Optimal control of two-and three-dimensional incompressible Navier-Stokes flows
    • O. Ghattas and J.-H. Bark, Optimal control of two-and three-dimensional incompressible Navier-Stokes flows, J. Comput. Phys. 136, 231-244 (1997).
    • (1997) J. Comput. Phys. , vol.136 , pp. 231-244
    • Ghattas, O.1    Bark, J.-H.2
  • 14
    • 0034454970 scopus 로고    scopus 로고
    • The velocity tracking problem for Navier-Stokes flows with boundary control
    • M. D. Gunzburger and S. Manservisi, The velocity tracking problem for Navier-Stokes flows with boundary control, SIAM J. Control Optim. 39, 594-634 (2000).
    • (2000) SIAM J. Control Optim. , vol.39 , pp. 594-634
    • Gunzburger, M.D.1    Manservisi, S.2
  • 16
    • 0034550013 scopus 로고    scopus 로고
    • Runge-Kutta methods in optimal control and the transformed adjoint system
    • W.-W. Hager, Runge-Kutta methods in optimal control and the transformed adjoint system, Numer. Math. 87, 247-282 (2000).
    • (2000) Numer. Math. , vol.87 , pp. 247-282
    • Hager, W.-W.1
  • 17
    • 0001149281 scopus 로고
    • Analysis and finite approximation of optimal control problems for the stationary Navier-Stokes equations with Dirichlet control
    • M. D. Gunzburger, L. S. Hou, and Th. P. Svobodny, Analysis and finite approximation of optimal control problems for the stationary Navier-Stokes equations with Dirichlet control, Math. Model. Numer. Anal. 25, 711-748 (1991).
    • (1991) Math. Model. Numer. Anal. , vol.25 , pp. 711-748
    • Gunzburger, M.D.1    Hou, L.S.2    Svobodny, Th.P.3
  • 18
    • 0001495143 scopus 로고    scopus 로고
    • Formulation and analysis of a sequential quadratic programming method for the optimal Dirichlet boundary control of Navier-Stokes flow
    • edited by W. H. Hager et al. Kluwer Academic Publishers B. V., Dordrecht
    • M. Heinkenschloss, Formulation and analysis of a sequential quadratic programming method for the optimal Dirichlet boundary control of Navier-Stokes flow, in: Optimal Control: Theory, Algorithms, and Applications, edited by W. H. Hager et al. (Kluwer Academic Publishers B. V., Dordrecht, 1998), pp. 178-203.
    • (1998) Optimal Control: Theory, Algorithms, and Applications , pp. 178-203
    • Heinkenschloss, M.1
  • 19
    • 0036294683 scopus 로고    scopus 로고
    • Second order methods for optimal control of time-dependent fluid flow
    • M. Hinze and K. Kunisch, Second order methods for optimal control of time-dependent fluid flow, SIAM J. Control Optim. 40, 925-946 (2001).
    • (2001) SIAM J. Control Optim. , vol.40 , pp. 925-946
    • Hinze, M.1    Kunisch, K.2
  • 20
    • 0032166349 scopus 로고    scopus 로고
    • A penalized Neumann control approach for solving an optimal Dirichlet control problem for the Navier-Stokes equations
    • L. S. Hou and S. S. Ravindran, A penalized Neumann control approach for solving an optimal Dirichlet control problem for the Navier-Stokes equations, SIAM J. Control Optim. 36, 1795-1814 (1998).
    • (1998) SIAM J. Control Optim. , vol.36 , pp. 1795-1814
    • Hou, L.S.1    Ravindran, S.S.2
  • 21
    • 0032688739 scopus 로고    scopus 로고
    • Newton's mesh independence principle for a class of optimal shape design problems
    • M. Laumen, Newton's mesh independence principle for a class of optimal shape design problems, SIAM J. Control Optim. 37, 1088 (1999).
    • (1999) SIAM J. Control Optim. , vol.37 , pp. 1088
    • Laumen, M.1
  • 24
    • 0003887517 scopus 로고
    • North Holland Publ. Comp., Amsterdam
    • R. Temam, Navier-Stokes Equation (North Holland Publ. Comp., Amsterdam, 1979).
    • (1979) Navier-Stokes Equation
    • Temam, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.