Solution of the inverse heat conduction problem with a time-variable number of future temperatures

Numerical Heat Transfer, Part B: Fundamentals

Volumn 32, Issue 4, 1997, Pages 437-451

  Blanc, G ^a   Beck, J V ^b   Raynaud, M ^a  

^a UNIVERSITÉ DE LYON   (France)

^b MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; HEAT FLUX; INVERSE PROBLEMS; MEASUREMENT ERRORS;

FUNCTION SPECIFICATION ALGORITHM; INVERSE HEAT CONDUCTION PROBLEM (IHCP);

HEAT CONDUCTION;

EID: 0031374032     PISSN: 10407790     EISSN: 15210626     Source Type: Journal    
DOI: 10.1080/10407799708915018     Document Type: Article

References (13)

1. J. V. Beck, Nonlinear Estimation Applied to the Nonlinear Inverse Heat Conduction Problem, Int. J. Heat Mass Transfer, vol. 13, pp. 703-716, 1970.
2. O. M. Alifanov and E. A. Artyukhin, Identification of Mathematical Models of Transient Heat Transfer Processes. Numerical Methods in Thermal Problems, Proc. Fourth Int. Conf. (U.K), pp. 771-779, Pineridge Press, Swansea, UK, 1985.
3. Y. Jamy, N. Ozisik, and J. P. Bardon, A General Optimization Method Using Adjoint Equation for Solving Multidimensional Inverse Heat Conduction, Int. J. Heat Mass Transfer, vol. 34, no. 11, pp. 2911-2919, 1991.
4. M. Raynaud and J. Bransier, A New Finite Difference Method for Nonlinear Inverse Heat Conduction Problem, Numer. Heat Transfer, vol. 9, no. 1, pp. 27-42, 1986.
5. D. Murio, The Modification Method and the Numerical Solution of Ill-Posed Problems, Wiley-Interscience, New York, 1993.
6. G. Blanc and M. Raynaud, Solution of the Inverse Heat Conduction Problem from Thermal Strain Measurements, J. Heat Transfer, vol. 118, pp. 842-849, 1996.
7. I. V. Beck, B. Blackwell, and C. R. St. Clair, Inverse Heat Conduction-Ill-Posed Problems, Wiley-Interscience, New York, 1985.
8. J. V. Beck, Comparison of the Iterative Regularization and Function Specification Algorithms for the Inverse Heat Conduction Problem, Proc. First Conf. on Inverse Problems in Engineering: Theory and Practice, Palm Coast, FL, pp. 23-30, ASME, New York, 1993.
9. J. V. Beck, B. Blackwell, and A. Haji-Sheikh, Comparison of Some Inverse Heat Conduction Methods Using Experimental Data, Int. J. Heat Mass Transfer, vol. 39, no. 17, pp. 3649-3657, 1996.
10. G. P. Flach and M. N. Ozisik, An Adaptive Inverse Heat Conduction Method with Automatic Control, J. Heat Transfer, vol. 114, pp, 5-13, 1992.
11. K. A. Woodbury and K. Thakur, Redundant Data and Future Times in the Inverse Heat Conduction Problem, Inverse Problems in Engineering, vol. 2, pp. 319-333, 1996.
12. A. A. Artyukhin, Iterative Algorithm for Estimating Temperature-Dependent Thermophysical Characteristics, Proc. First Conf. on Inverse Problems in Engineering: Theory and Practice, Palm Coast, FL, pp. 101-108, ASME, New York, 1993.
13. D. M. Trujillo and H. R. Busby, Optimal Regularization of the Inverse Heat-Conduction Problem, J. Thermophys., vol. 3, no. 4, pp. 423-427, 1989