Model reduction for the resolution of multidimensional inverse heat conduction problems

International Journal of Heat and Mass Transfer

Volumn 44, Issue 10, 2001, Pages 1899-1911

  Videcoq, E ^a   Petit, D ^a  

^a ENSMA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; HEAT FLUX; INVERSE PROBLEMS; MATHEMATICAL MODELS; SENSITIVITY ANALYSIS;

INVERSE HEAR CONDUCTION; TIME-VARYING HEAT FLUX DENSITIES;

HEAT CONDUCTION;

BOUNDARY CONDITIONS; HEAT CONDUCTION; HEAT FLUX; MATHEMATICAL MODELING;

EID: 0034744602     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0017-9310(00)00239-8     Document Type: Article

References (23)

1. J.V. Beck, B. Blackwell, A. Haji-Sheikh, Comparison of some inverse heat conduction methods using experimental data, Int. J. Heat Mass Transfer 39 (17) (1996) 3649-3657.
2. J.V. Beck, B. Blackwell, C.R. St. Clair, Inverse Heat Conduction: Ill-posed Problems, Wiley, New York, 1985, pp. 108-160.
3. E.P. Scott, J.V. Beck, Analysis of order of the sequential regularization solutions of inverse heat conduction problems, ASME J. Heat Transfer 111 (1989) 218-224.
4. O.M. Alifanov, Inverse Heat Transfer Problems, Springer, New York, 1994.
5. O.M. Alifanov, E.A. Artyukhin, S.V. Rumyantsev, Extreme Methods for Solving Ill Posed Problems with Applications to Inverse Heat Transfer, Begell House, New York, 1995, pp. 152-215.
6. A.M. Osman, K.J. Dowding, J.V. Beck, Numerical solution of the general two-dimensional inverse heat conduction problem, ASME J. Heat Transfer 119 (1997) 38-45.
7. M. Raynaud, J.V. Beck, Methodology for comparison of inverse heat conduction methods, J. Heat Transfer 110 (1988) 30-37.
8. C.C. Ji, P.-C. Tuan, H.-Y. Jang, A recursive least-squares algorithm for on-line 1-D inverse heat conduction estimation, Int. J. Heat Mass Transfer 40 (9) (1997) 2081-2096.
9. F. Scarpa, G. Milano, Kalman smoothing technique applied to the inverse heat conduction problem, Numer. Heat Transfer B 28 (1995) 79-96.
10. P.-C. Tuan, C.C. Ji, L.-W. Fong, W.-T. Huang, An input estimation approach to on-line two-dimensional inverse heat conduction problems, Numer. Heat Transfer B 29 (1996) 345-363.
11. C.-H. Huang, C.-W. Chen, A boundary-element-based inverse problem of estimating boundary conditions in an irregular domain with statistical analysis, Numer. Heat Transfer B 33 (1998) 251-268.
12. C. Le Niliot, The boundary-element method for the time-varying strength estimation of point heat sources: application to a two-dimensional diffusion system, Numer. Heat Transfer B 33 (1998) 301-321.
13. R. Pasquetti, C. Le Niliot, Boundary element approach for inverse heat conduction problems: application to a bidimensional transient numerical experiment, Numer. Heat Transfer B 20 (1991) 169-189.
14. Y. Jarny, M.N. Ozisik, J.P. Bardon, A general optimization method using adjoint equation for solving multidimensional inverse heat conduction, Int. J. Heat Mass Transfer 34 (11) (1991) 2911-2919.
15. D. Petit, V. Debray, C. Le Niliot, R. Pasquetti, Identification of local heat transfer coefficient using a boundary formulation. Comput. Meth. Heat Transfer, 1992, Springer, Milan.
16. E. Videcoq, D. Petit, H. Sadat, Resolution of inverse heat conduction problem with reduced models, in: Proceedings of 11th International Heat Transfer Conference, Kyongju, Corée, 7, 1998, pp. 89-94.
17. M. Decoster, A.R. Van Cauwenberghe, A comparative study of different reduction methods (Part 1-2), Journal A 17 (3) (1976) 58-74, 125-135.
18. P. Bertrand, G. Duc, G. Michailesco, Recent developments in model reduction, RAIRO APII 19 (1985) 131-146.
19. K. El Khoury, A. Neveu, Analyse modale des systèmes thermiques en présence de transferts non réciproques, Int. J. Heat Mass Transfer 32 (1989) 213-226.
20. M.T. Ben Jaafar, R. Pasquetti, D. Petit, Model reduction for thermal diffusion: Application of the Eitelberg, Marshall and aggregation methods to a heat transmission tube model, Int. J. Numer. Meth. Eng. 29 (1990) 599-617.
21. R. Pasquetti, D. Petit, Analyse Modale d'un Processus de Diffusion Thermique: Identification par Thermographie Infra-Rouge, Int. J. Heat Mass Transfer 31 (1988) 487-496.
22. D. Petit, R. Hachette, D. Veyret, A modal identification method to reduce a high-order model: application to heat conduction modelling, Int. J. Modelling Simulation 17 (3) (1997) 242-250.
23. E. Videcoq, Problèmes inverses en diffusion thermique instationnaire: résolution par représentation d'état et apport de la réduction de modèle, Thèse de l'Université de Poitiers 19 Novembre 1999.