메뉴 건너뛰기




Volumn 11, Issue 6, 2003, Pages 515-539

Multidimensional inverse heat conduction problems solution via Lagrange theory and model size reduction techniques

Author keywords

Lagrange theory; Multidimensional IHCP; Reduction techniques

Indexed keywords

BOUNDARY CONDITIONS; INTEGRATION; INVERSE PROBLEMS; LAGRANGE MULTIPLIERS; LINEAR SYSTEMS; OPTIMIZATION;

EID: 0242551523     PISSN: 10682767     EISSN: None     Source Type: Journal    
DOI: 10.1080/1068276031000114884     Document Type: Article
Times cited : (16)

References (37)
  • 5
    • 0004426263 scopus 로고
    • Calculation of surface heat flux from an internal temperature history
    • J.V. Beck (1962). Calculation of surface heat flux from an internal temperature history. ASME Paper 62-HT-46.
    • (1962) ASME Paper , vol.62 HT-46
    • Beck, J.V.1
  • 8
    • 0001018484 scopus 로고
    • Solution of an inverse problem of heat conduction by iteration methods
    • O.M. Alifanov (1974). Solution of an inverse problem of heat conduction by iteration methods. J. Engng. Phys., 26(4), 471-476.
    • (1974) J. Engng. Phys. , vol.26 , Issue.4 , pp. 471-476
    • Alifanov, O.M.1
  • 9
    • 0016532277 scopus 로고
    • Regularized numerical solution of nonlinear inverse heat conduction problem
    • O.M. Alifanov and E.A. Artyukhin (1975). Regularized numerical solution of nonlinear inverse heat conduction problem. J. Engng. Phys., 29(1), 934-938.
    • (1975) J. Engng. Phys. , vol.29 , Issue.1 , pp. 934-938
    • Alifanov, O.M.1    Artyukhin, E.A.2
  • 10
    • 0017928157 scopus 로고
    • One method of solving incorrectly stated problems
    • O.M. Alifanov and S.V. Rumyantev (1978). One method of solving incorrectly stated problems. J. Engng. Phys., 34(2), 328-331.
    • (1978) J. Engng. Phys. , vol.34 , Issue.2 , pp. 328-331
    • Alifanov, O.M.1    Rumyantev, S.V.2
  • 11
    • 0001819955 scopus 로고
    • Ways of allowing for a priory information in regularizing gradient algorithms
    • S.V. Rumyantev (1986). Ways of allowing for a priory information in regularizing gradient algorithms. J. Engng. Phys., 49(3), 932-936.
    • (1986) J. Engng. Phys. , vol.49 , Issue.3 , pp. 932-936
    • Rumyantev, S.V.1
  • 12
    • 0242532153 scopus 로고
    • Application of iterative regularization for the solution of incorrect inverse problems
    • O.M. Alifanov and S.V. Rumyantev (1987). Application of iterative regularization for the solution of incorrect inverse problems. J. Engng. Phys., 53(5), 1335-1342.
    • (1987) J. Engng. Phys. , vol.53 , Issue.5 , pp. 1335-1342
    • Alifanov, O.M.1    Rumyantev, S.V.2
  • 13
    • 0026260771 scopus 로고
    • A general optimization method using adjoint equation for solving multidimensional inverse heat conduction
    • Y. Jarny, M.N. Özişik and J.P. Bardon (1991). A general optimization method using adjoint equation for solving multidimensional inverse heat conduction. Int. J. Heat Mass Transfer, 34(11), 2911-2919.
    • (1991) Int. J. Heat Mass Transfer , vol.34 , Issue.11 , pp. 2911-2919
    • Jarny, Y.1    Özişik, M.N.2    Bardon, J.P.3
  • 14
    • 0026435143 scopus 로고
    • Inverse problem of determining unknown wall heatflux in laminar flow through a parallel plate duct
    • C.H. Huang and M.N. Özişik (1992). Inverse problem of determining unknown wall heatflux in laminar flow through a parallel plate duct. Num. Heat Transfer A, 21, 55-70.
    • (1992) Num. Heat Transfer A , vol.21 , pp. 55-70
    • Huang, C.H.1    Özişik, M.N.2
  • 15
    • 0013014645 scopus 로고    scopus 로고
    • Inverse heat conduction problem solution via second-order design sensitivities and Newton's method
    • J.E. Scheuing and D.A. Tortorelli (1996). Inverse heat conduction problem solution via second-order design sensitivities and Newton's method. Inverse Problems in Engineering, 2, 227-262.
    • (1996) Inverse Problems in Engineering , vol.2 , pp. 227-262
    • Scheuing, J.E.1    Tortorelli, D.A.2
  • 16
    • 0031250331 scopus 로고    scopus 로고
    • Transient inverse heat conduction problem solutions via Newton's method
    • G.A. Dorai and D.A. Tortorelli (1997). Transient inverse heat conduction problem solutions via Newton's method. Int. J. Heat Mass Transfer, 40(17), 4115-4127.
    • (1997) Int. J. Heat Mass Transfer , vol.40 , Issue.17 , pp. 4115-4127
    • Dorai, G.A.1    Tortorelli, D.A.2
  • 17
    • 0031559472 scopus 로고    scopus 로고
    • Whole time-domain approach to the inverse natural convection problem
    • M. Prud'homme and T.H. Nguyen (1997). Whole time-domain approach to the inverse natural convection problem. Num. Heat Transfer A, 32, 169-186.
    • (1997) Num. Heat Transfer A , vol.32 , pp. 169-186
    • Prud'homme, M.1    Nguyen, T.H.2
  • 18
    • 0345035216 scopus 로고    scopus 로고
    • A three dimensional forced convection problem in estimation surface heat flux by conjugate gradient
    • C. Huang and W. Chen (1999). A three dimensional forced convection problem in estimation surface heat flux by conjugate gradient. Int. J. Heat Mass Transfer, 42, 3387-3403.
    • (1999) Int. J. Heat Mass Transfer , vol.42 , pp. 3387-3403
    • Huang, C.1    Chen, W.2
  • 19
    • 0032719040 scopus 로고    scopus 로고
    • Fourier analysis of conjugate gradient method applied to inverse heat conduction problems
    • M. Prud'homme and T.H. Nguyen (1999). Fourier analysis of conjugate gradient method applied to inverse heat conduction problems. Int. J. Heat Mass Transfer, 42, 4447-4460.
    • (1999) Int. J. Heat Mass Transfer , vol.42 , pp. 4447-4460
    • Prud'homme, M.1    Nguyen, T.H.2
  • 20
    • 0034087070 scopus 로고    scopus 로고
    • A three dimensional forced convection problem in estimation surface heat conduction problem in estimating heat flux by conjugate gradient
    • C. Huang and S. Wang (2000). A three dimensional forced convection problem in estimation surface heat conduction problem in estimating heat flux by conjugate gradient. Int. J. Heat Mass Transfer, 43, 3171-3181.
    • (2000) Int. J. Heat Mass Transfer , vol.43 , pp. 3171-3181
    • Huang, C.1    Wang, S.2
  • 21
    • 0001921035 scopus 로고    scopus 로고
    • Numerical solution of 2-D nonlinear inverse heat conduction problems using finite-elements techniques
    • R.A. Khachfe and Y. Jarny (2000). Numerical solution of 2-D nonlinear inverse heat conduction problems using finite-elements techniques. Num. Heat Transfer, 37(1), 45-67.
    • (2000) Num. Heat Transfer , vol.37 , Issue.1 , pp. 45-67
    • Khachfe, R.A.1    Jarny, Y.2
  • 22
    • 0035931833 scopus 로고    scopus 로고
    • Determination of heat sources and heat transfer coefficient for two-dimensional heat flow - Numerical and experimental study
    • R.A. Khachfe and Y. Jarny (2001). Determination of heat sources and heat transfer coefficient for two-dimensional heat flow - numerical and experimental study. Int. J. Heat Mass Transfer, 44, 1309-1322.
    • (2001) Int. J. Heat Mass Transfer , vol.44 , pp. 1309-1322
    • Khachfe, R.A.1    Jarny, Y.2
  • 23
    • 85034168942 scopus 로고    scopus 로고
    • Régularisation d'un problème inverse en conduction par utilisation d'un modèle réduit identifié
    • D. Petit and S. Peruzzi (1996). Régularisation d'un problème inverse en conduction par utilisation d'un modèle réduit identifié. In: Proceedings Congrès SFT 96.
    • (1996) Proceedings Congrès SFT 96
    • Petit, D.1    Peruzzi, S.2
  • 25
    • 0242532161 scopus 로고    scopus 로고
    • Identification du flux de chaleur dans un essai de tribologie. Utilisation d'un modèle réduit
    • J.L. Battaglia and A. Neveu (1998). Identification du flux de chaleur dans un essai de tribologie. Utilisation d'un modèle réduit. In: Proceedings of SFT'98, Thermique et Environnement.
    • (1998) Proceedings of SFT'98, Thermique et Environnement
    • Battaglia, J.L.1    Neveu, A.2
  • 26
    • 0242700987 scopus 로고    scopus 로고
    • Réduction et inversion d'un modèle de système thermique complexe: Détermination d'une sollicitation inconnue appliquée à un bâtiment
    • A. Gafsi, G. Lefebvre and E. Palomo (2000). Réduction et inversion d'un modèle de système thermique complexe: détermination d'une sollicitation inconnue appliquée à un bâtiment. In: Proceedings of Congrès français de thermique - SFT 2000.
    • (2000) Proceedings of Congrès Français de Thermique - SFT 2000
    • Gafsi, A.1    Lefebvre, G.2    Palomo, E.3
  • 27
    • 0004163205 scopus 로고
    • John Wiley & Sons, New York
    • F.L. Lewis (1986). Optimal Control. John Wiley & Sons, New York.
    • (1986) Optimal Control
    • Lewis, F.L.1
  • 31
    • 0019533482 scopus 로고
    • Principal components analysis in linear systems: Controlability, observability and model reduction
    • B.C. Moore (1981). Principal components analysis in linear systems: controlability, observability and model reduction. IEE Transactions on Automatic Control, AC 26(1), 17-32.
    • (1981) IEE Transactions on Automatic Control , vol.AC 26 , Issue.1 , pp. 17-32
    • Moore, B.C.1
  • 32
    • 0001998924 scopus 로고
    • An approximate method for reducing the order of a linear system
    • S.A. Marshall (1966). An approximate method for reducing the order of a linear system. Control, 10, 642-643.
    • (1966) Control , vol.10 , pp. 642-643
    • Marshall, S.A.1
  • 33
    • 0021441691 scopus 로고
    • ∞-error bounds
    • ∞-error bounds. Int. J. Control, 39(6), 1115-1193.
    • (1984) Int. J. Control , vol.39 , Issue.6 , pp. 1115-1193
    • Glover, K.1
  • 34
    • 84976855597 scopus 로고
    • Solution of the matrix equation AX + XB = C
    • R.H. Bartels and G.W. Stewart (1972). Solution of the matrix equation AX + XB = C. Comm. ACM, 15, 820-826.
    • (1972) Comm. ACM , vol.15 , pp. 820-826
    • Bartels, R.H.1    Stewart, G.W.2
  • 35
    • 0032044801 scopus 로고    scopus 로고
    • The boundary-element method for the time-varying strength estimation of point heat sources: Application to a two-dimensional diffusion system
    • C. Le Niliot (1998). The boundary-element method for the time-varying strength estimation of point heat sources: application to a two-dimensional diffusion system. Numerical Heat Tranfer, Part B, 33, 301-321.
    • (1998) Numerical Heat Tranfer, Part B , vol.33 , pp. 301-321
    • Le Niliot, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.