메뉴 건너뛰기




Volumn 81, Issue 2, 2001, Pages 83-97

Optimal control of a phase-field model using proper orthogonal decomposition

Author keywords

Optimal control; Phase field model; Proper orthogonal decomposition

Indexed keywords


EID: 33747791725     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/1521-4001(200102)81:2<83::AID-ZAMM83>3.0.CO;2-R     Document Type: Article
Times cited : (73)

References (26)
  • 1
    • 0003671160 scopus 로고    scopus 로고
    • Proper orthogonal decomposition for reduced basis feedback controllers for parabolic equations
    • Techn. rep.
    • ATWELL, J. A.; KING, B. B.: Proper orthogonal decomposition for reduced basis feedback controllers for parabolic equations. Techn. rep., ICAM Report 99-01-01 (1999).
    • (1999) ICAM Report 99-01-01
    • Atwell, J.A.1    King, B.B.2
  • 3
    • 0003851376 scopus 로고    scopus 로고
    • Turbulence, coherent structures, dynamical systems and symmetry
    • Cambridge University Press
    • BERKOOZ, G.; HOLMES, P.; LUMLEY, J. L.: Turbulence, coherent structures, dynamical systems and symmetry. Cambridge Monographs on Mechanics. Cambridge University Press 1996.
    • (1996) Cambridge Monographs on Mechanics
    • Berkooz, G.1    Holmes, P.2    Lumley, J.L.3
  • 4
    • 34249988665 scopus 로고
    • Extracting qualitative dynamics from experimantal data
    • BROOMHEAD, D. S.; KING, G. P.: Extracting qualitative dynamics from experimantal data. Physica 20D (1986), 217-236.
    • (1986) Physica , vol.20 D , pp. 217-236
    • Broomhead, D.S.1    King, G.P.2
  • 5
    • 34250131162 scopus 로고
    • An analysis of a phase field model of a free boundary
    • CAGINALP, G.: An analysis of a phase field model of a free boundary. Arch. Rat. Mech. Analysis 92 (1986), 205-245.
    • (1986) Arch. Rat. Mech. Analysis , vol.92 , pp. 205-245
    • Caginalp, G.1
  • 6
    • 0000432505 scopus 로고
    • Karhunen-Loéve expansion of Burgers' model of turbulence
    • CHAMBERS, D. H.; ADRIAN, R. J.; MOIN, P.; STEWART, D. S.; SUNG, H. J.: Karhunen-Loéve expansion of Burgers' model of turbulence. Phys. Fluids 31 (1988) 9, 2573-2582.
    • (1988) Phys. Fluids , vol.31 , Issue.9 , pp. 2573-2582
    • Chambers, D.H.1    Adrian, R.J.2    Moin, P.3    Stewart, D.S.4    Sung, H.J.5
  • 10
    • 0141611213 scopus 로고
    • Numerical simulation of free boundary problems using phase field models
    • MAFELAP
    • FIX, G.: Numerical simulation of free boundary problems using phase field models. In: The mathematics of finite elements and applications. IV. MAFELAP 1981, 1982, pp. 265-279.
    • (1981) The Mathematics of Finite Elements and Applications , vol.4 , pp. 265-279
    • Fix, G.1
  • 11
    • 0141722856 scopus 로고
    • Analysis of the Lagrange-SQP-Newton method for the control of a phase-field equation
    • Techn. rep.
    • HEINCKENSCHLOSS, M.; TRÖLTZSCH, F.: Analysis of the Lagrange-SQP-Newton method for the control of a phase-field equation. Techn. rep., ICAM Report 95-03-01 (1995).
    • (1995) ICAM Report 95-03-01
    • Heinckenschloss, M.1    Tröltzsch, F.2
  • 12
    • 0010450094 scopus 로고
    • Numerical solution of a constrained control problem for a phase field model
    • DESCH, W.; KAPPEL, F.; KUNISCH, K. (eds.): Optimal control of partial differential equations. Birkhäuser-Verlag, Basel, Boston, Berlin
    • HEINKENSCHLOSS, M.; SACHS, E. W.: Numerical solution of a constrained control problem for a phase field model. In: DESCH, W.; KAPPEL, F.; KUNISCH, K. (eds.): Optimal control of partial differential equations. Int. Ser. Numer. Math. Vol. 118. Birkhäuser-Verlag, Basel, Boston, Berlin 1994, pp. 171-187.
    • (1994) Int. Ser. Numer. Math. , vol.118 , pp. 171-187
    • Heinkenschloss, M.1    Sachs, E.W.2
  • 14
    • 0010729852 scopus 로고
    • Optimal control of a phase-field model for solification
    • HOFFMANN, K.-H.; JIANG, L.: Optimal control of a phase-field model for solification. Numer. Funct. Anal. Optimiz. 13 (1992) 1 & 2, 11-27.
    • (1992) Numer. Funct. Anal. Optimiz. , vol.13 , Issue.1-2 , pp. 11-27
    • Hoffmann, K.-H.1    Jiang, L.2
  • 15
    • 0030304771 scopus 로고    scopus 로고
    • Augmented Lagrangian-SQP-methods in Hilbert spaces and application to control in the coefficient problems
    • ITO, K.; KUNISCH, K.: Augmented Lagrangian-SQP-methods in Hilbert spaces and application to control in the coefficient problems. SIAM J. Optimization 6 (1996) 1, 96-125.
    • (1996) SIAM J. Optimization , vol.6 , Issue.1 , pp. 96-125
    • Ito, K.1    Kunisch, K.2
  • 16
    • 0004159331 scopus 로고    scopus 로고
    • A reduced basis method for control problems governed by PDEs
    • Control and Estimation of Distributed Parameter Systems
    • ITO, K.; RAVINDRAN, S. S.: A reduced basis method for control problems governed by PDEs. Control and Estimation of Distributed Parameter Systems, Intern. Ser. of Numer. Math. 126 (1998).
    • (1998) Intern. Ser. of Numer. Math. , vol.126
    • Ito, K.1    Ravindran, S.S.2
  • 18
    • 0033177060 scopus 로고    scopus 로고
    • Control of Burgers' equation by a reduced order approach using proper orthogonal decomposition
    • KUNISCH, K.; VOLKWEIN, S.: Control of Burgers' equation by a reduced order approach using proper orthogonal decomposition. JOTA 102 (1999) 2, 345-371.
    • (1999) JOTA , vol.102 , Issue.2 , pp. 345-371
    • Kunisch, K.1    Volkwein, S.2
  • 20
    • 0003991008 scopus 로고    scopus 로고
    • Proper orthogonal decomposition for flow calculations and optimal control in a horizontal CVD reactor
    • North Carolina State University, Center for Research in Scientific Computation, CRSC-TR98-13 (submitted)
    • LY, H. V.; TRAN, H. T.: Proper orthogonal decomposition for flow calculations and optimal control in a horizontal CVD reactor. North Carolina State University, Center for Research in Scientific Computation, CRSC-TR98-13 (1998); Quart. Appl. Math, (submitted).
    • (1998) Quart. Appl. Math
    • Ly, H.V.1    Tran, H.T.2
  • 21
    • 0004006120 scopus 로고
    • Optimal control of nonlinear parabolic systems. Theory, algorithms, and applications
    • Marcel Dekkar, Inc.
    • NEITTAANMÄKI, P.; TIBA, D.: Optimal control of nonlinear parabolic systems. Theory, algorithms, and applications. Pure and Applied Mathematics. Marcel Dekkar, Inc. 1994.
    • (1994) Pure and Applied Mathematics
    • Neittaanmäki, P.1    Tiba, D.2
  • 24
    • 0000246863 scopus 로고
    • Turbulence and the dynamics of coherent structures. Parts I-III
    • SIROVICH, L.: Turbulence and the dynamics of coherent structures. Parts I-III. Quart. Appl. Math. 45 (1987), 561-590.
    • (1987) Quart. Appl. Math. , vol.45 , pp. 561-590
    • Sirovich, L.1
  • 25
    • 0027879547 scopus 로고
    • On the early history of the singular value decomposition
    • STEWART, G. W.: On the early history of the singular value decomposition. SIAM Review 35 (1993), 551-566.
    • (1993) SIAM Review , vol.35 , pp. 551-566
    • Stewart, G.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.