Parametric study and optimal algorithm of a simultaneous estimation in two-dimensional inverse heat conduction problem

Inverse Problems in Science and Engineering

Volumn 16, Issue 4, 2008, Pages 461-482

  Abboudi, Said ^a   Artioukhine, Eugene ^b  

^a Systems and Transport Laboratory SeT   (France)

^b FEMTO ST INSTITUTE   (France)

Author keywords

Inverse problem; Iterative regularization; Optimal algorithm; Simultaneous estimation; Transient conduction; Two dimensional heat conduction

Indexed keywords

BOOLEAN FUNCTIONS; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; CONJUGATE GRADIENT METHOD; CONVERGENCE OF NUMERICAL METHODS; DETECTORS; ERROR ANALYSIS; ESTIMATION; FUNCTION EVALUATION; GRADIENT METHODS; HEAT CONDUCTION; HEAT FLUX; INVERSE PROBLEMS; ITERATIVE METHODS; MEASUREMENT ERRORS; NUMERICAL METHODS; PARAMETER ESTIMATION; SENSORS; SPLINES;

(I ,J) CONDITIONS; (MIN ,MAX ,+) FUNCTIONS; CONJUGATE GRADIENT (CG); CONVERGENCE RATES; CUBIC B SPLINES; EVOLUTION (CO); INVERSE HEAT CONDUCTION (IHS) PROBLEMS; INVERSE SOLUTIONS; ITERATIVE REGULARIZATION; LINEAR HEAT CONDUCTION; NUMERICAL ALGORITHMS; NUMERICAL APPROACHES; OPTIMAL ALGORITHMS; OPTIMAL CHOICE; PARAMETRIC STUDIES; SIMULTANEOUS ESTIMATION; SURFACE HEAT FLUXES; TRANSIENT TEMPERATURES; TWO-DIMENSIONAL (2D);

TWO DIMENSIONAL;

EID: 46149103434     PISSN: 17415977     EISSN: 17415985     Source Type: Journal    
DOI: 10.1080/17415970802028917     Document Type: Article

References (10)

1. Tikhonov, A.N. and Arsenin, A.V., 1977, Solution of Ill-posed Problems (New York: Wiley).
2. Beck, J.V., Blackwell, B. and St. Clair, C.R., 1985, Inverse Heat Condition: Ill-Posed Problems (New York: Wiley Intersc.).
3. Alifanov, O.M., Artyukhin, E.A. and Rumyantsev, S.V., 1995, Extreme Methods for Solving Ill Posed Problems with Applications to Inverse Heat Transfer Problems (New York: Begell House, Inc.).
4. Zabaras, N.K., Woodbury, K.A. and Raynaud, M. (Eds), 1993, Proceedings of the First International Conference on Inverse Problems in Engineering: Theory and Practice, ASME, Palm Coast, Florida, USA, June 13-18.
5. Delaunay, D., Jarny, Y. and Woodbury, K.A. (Eds), 1996, Proceedings of the 2nd International Conference on Inverse Problems in Engineering: Theory and Practice, ASME, Le Croisic, France, June 9-14.
6. Woodbury, K.A. (Ed.), 1999, Proceedings of the 3rd International Conference on Inverse Problems Engineering: Theory and Practice, ASME, Port Ludlow, Washington, USA, June 13-18.
7. Orlande, H.R.B. (Ed.), 2002, Proceedings of the 4th International Conference on Inverse Problems Engineering: Theory and Practice, Rio de Janeiro, Brasil, May 26-31.
8. Chen, H.T., et al., 2002, Estimation of two-sided boundary conditions for two dimensional inverse heat conduction problems. International Journal of Heat and Mass Transfer, 45, 15-23.
9. Hsu, P.T., Yang, Y.T. and Chen, C.K., 1990, Simultaneously estimating the initial and boundary conditions in a two dimensional hollow cylinder. International Journal of Heat and Mass Transfer, 33, 621-628.
10. Loulou, T. and Artioukhine, E., 2003, Optimal choice of descent parameter in gradient-type methods when applied to combined parameter and function or multi-function estimation. Inverse Problems in Engineering, 11(4), 273-288.