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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 32, 1997 - Issue 4
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Original Articles

SOLUTION OF THE INVERSE HEAT CONDUCTION PROBLEM WITH A TIME-VARIABLE NUMBER OF FUTURE TEMPERATURES

G. Blanc Centre de Thermique-ESA CNRS 5008, I.N.SA. de Lyon, Bat. 404, 20 av. A. Einstein, Villeurbanne, Cedex, 69621, FranceCorrespondenceE-mail (for M. Raynaud): [email protected]
,
J. V. Beck Heat Transfer Group, Department of Mechanical Engineering, Michigan State University, East Lansing, Michigan, USA
&
M. Raynaud Centre de Thermique-ESA CNRS 5008, I.N.S-A. de Lyon, Bat. 404, 20 av. A. Einstein, Villeurbanne, Cedex, 69621, France
Pages 437-451 | Received 04 Apr 1997, Accepted 12 Jun 1997, Published online: 23 Mar 2007

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José M. Gutiérrez, José M. Aguado Teixe, Juan A. Martín & Paloma R. Cubillas. (2016) A Hybrid Procedure for the Sequential Estimation of Surface Heat Flux From Measurements of Surface Temperature. Heat Transfer Engineering 37:16, pages 1325-1340.
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M.A. Marois, M. Désilets & M. Lacroix. (2011) Prediction of a 2-D Solidification Front in High Temperature Furnaces by an Inverse Analysis. Numerical Heat Transfer, Part A: Applications 59:3, pages 151-166.
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S. K. Ali, M. S. Hamed & M. F. Lightstone. (2010) A Modified Online Input Estimation Algorithm for Inverse Modeling of Steel Quenching. Numerical Heat Transfer, Part B: Fundamentals 57:1, pages 1-29.
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James V. Beck. (2008) Filter solutions for the nonlinear inverse heat conduction problem. Inverse Problems in Science and Engineering 16:1, pages 3-20.
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N. Daouas & M.-S. Radhouani. (2007) Experimental validation of an extended Kalman smoothing technique for solving nonlinear inverse heat conduction problems. Inverse Problems in Science and Engineering 15:7, pages 765-782.
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Jian Su & AllenT. Chwang. (2007) Estimation of Heat Transfer Coefficient of Cryogen Spray Cooling with Alifanov's Iterative Regularization Method. Numerical Heat Transfer, Part A: Applications 51:8, pages 781-794.
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Sun Kyoung Kim. (2006) Object-Oriented Development of Inverse Heat Conduction Code Adaptable to Various Configurations. Numerical Heat Transfer, Part B: Fundamentals 50:3, pages 269-284.
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N. Daouas & M.-S. Radhouani. (2004) A NEW APPROACH OF THE KALMAN FILTER USING FUTURE TEMPERATURE MEASUREMENTS FOR NONLINEAR INVERSE HEAT CONDUCTION PROBLEMS. Numerical Heat Transfer, Part B: Fundamentals 45:6, pages 565-585.
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A.F. Emery . (2004) Transient and steady state free convection from a horizontal cylinder. Inverse Problems in Science and Engineering 12:5, pages 535-548.
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Jean-Luc Battaglia. (2002) A Modal Approach to Solve Inverse Heat Conduction Problems. Inverse Problems in Engineering 10:1, pages 41-63.
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Patricia K. Lamm & Thomas L. Scofield. (2001) LOCAL REGULARIZATION METHODS FOR THE STABILIZATION OF LINEAR ILL-POSED EQUATIONS OF VOLTERRA TYPE. Numerical Functional Analysis and Optimization 22:7-8, pages 913-940.
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T.T. Wu, C. Zhang, H.L. Ji, C.C. Tao & J.H. Qiu. (2022) A temperature field reconstruction method for debonding defect identification in laminated structures. Journal of Physics: Conference Series 2184:1, pages 012050.
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Nejla Gaaloul & Naouel Daouas. (2018) An extended approach of a Kalman smoothing technique applied to a transient nonlinear two-dimensional inverse heat conduction problem. International Journal of Thermal Sciences 134, pages 224-241.
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J. I. Frankel & M. Keyhani. (2017) Response function formulation for inverse heat conduction: concept. Journal of Engineering Mathematics 110:1, pages 75-95.
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Yanhao Li, Guangjun Wang & Hong Chen. (2015) Simultaneously estimation for surface heat fluxes of steel slab in a reheating furnace based on DMC predictive control. Applied Thermal Engineering 80, pages 396-403.
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José María Gutiérrez Cabeza, Juan Andrés Martín García & Alfonso Corz Rodríguez. (2008) Filter digital form of two future temperature methods for the inverse heat conduction: A spectral comparison. International Journal for Numerical Methods in Biomedical Engineering 26:5, pages 554-573.
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Zone-Ching Lin, Chang-Cheng Chen & Hsin-Ho Wang. (2009) The determination of material strength coefficient and strain hardening constant by inverse method. Journal of Materials Processing Technology 209:5, pages 2393-2401.
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S Alestra, J Collinet & F Dubois. (2008) An inverse method for non linear ablative thermics with experimentation of automatic differentiation. Journal of Physics: Conference Series 135, pages 012003.
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Zone-Ching Lin & Chun-kung Chen. (2006) Inverse calculation of the friction coefficient for upsetting a cylindrical mild steel by the experimental load. Journal of Materials Processing Technology 178:1-3, pages 297-306.
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José María Gutiérrez Cabeza, Juan Andrés Martín García & Alfonso Corz Rodríguez. (2005) A sequential algorithm of inverse heat conduction problems using singular value decomposition. International Journal of Thermal Sciences 44:3, pages 235-244.
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Alfonso Corz, Jose´ M. Gutie´rrez & Juan A. Martı´n. (2004) Comparison of Two Procedures for the Estimation of Surface Temperature History Using Function Specification Method. Journal of Heat Transfer 126:3, pages 475-479.
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J.R. Shenefelt, R. Luck, R.P. Taylor & J.T. Berry. (2002) Solution to inverse heat conduction problems employing singular value decomposition and model-reduction. International Journal of Heat and Mass Transfer 45:1, pages 67-74.
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E.R.G. Eckert, R.J. Goldstein, W.E. Ibele, S.V. Patankar, T.W. Simon, T.H. Kuehn, P.J. Strykowski, K.K. Tamma, A. Bar-Cohen, J.V.R. Heberlein, J.H. Davidson, J. Bischof, F.A. Kulacki, U. Kortshagen & S. Garrick. (2000) Heat transfer — a review of 1997 literature. International Journal of Heat and Mass Transfer 43:14, pages 2431-2528.
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Patricia K Lamm & Thomas L Scofield. (2000) Sequential predictor-corrector methods for the variable regularization of Volterra inverse problems. Inverse Problems 16:2, pages 373-399.
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