Advanced search
Publication Cover
Numerical Heat Transfer Volume 9, 1986 - Issue 1
Journal homepage
178
Views
48
CrossRef citations to date
0
Altmetric
Original Articles

A NEW FINITE-DIFFERENCE METHOD FOR THE NONLINEAR INVERSE HEAT CONDUCTION PROBLEM

M. Raynaud Université Pierre et Marie Curie, L8aboratoire d'Echanges Thermiques, Tour 66-B.315, 4,Place Jussieu, 75230, Paris Cedex 05, France
&
J. Bransier Université Pierre et Marie Curie, L8aboratoire d'Echanges Thermiques, Tour 66-B.315, 4,Place Jussieu, 75230, Paris Cedex 05, France
Pages 27-42 | Received 18 Jun 1984, Accepted 17 Dec 1984, Published online: 27 Feb 2007

Citations (48)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (17)

Chang Hoon Jeon, Ji Woong Park, Byung Wook Kang, Su Hyuk Jang, Kyung Joon Kwon, Soon Kwang Hong, Yong Min Ha & Jin Jang. (2023) Analysis of heat diffusion considering driving images on 6-inch flexible AMOLED display. Journal of Information Display 24:3, pages 169-175.
Read now
Ali Amiri-Gheisvandi, Farshad Kowsary & Mohammad Layeghi. (2023) Estimation of the local convective heat transfer coefficients of low frequency two-phase pulsating impingement jets using the IHCP. Experimental Heat Transfer 36:4, pages 421-452.
Read now
Francesco Avallone, Carlo Salvatore Greco & Dirk Ekelschot. (2013) Image resection and heat transfer measurements by IR thermography in hypersonic flows. Quantitative InfraRed Thermography Journal 10:2, pages 188-206.
Read now
Ranjan Das. (2012) A simulated annealing-based inverse computational fluid dynamics model for unknown parameter estimation in fluid flow problem. International Journal of Computational Fluid Dynamics 26:9-10, pages 499-513.
Read now
Ranjan Das & ParthaP. Dutta. (2012) Application of Simulated Annealing for Simultaneous Estimation of Parameters in a Cylindrical Fin. Numerical Heat Transfer, Part A: Applications 61:9, pages 699-716.
Read now
Yi Heng, Adel Mhamdi, Enno Wagner, Peter Stephan & Wolfgang Marquardt. (2010) Estimation of local nucleate boiling heat flux using a three-dimensional transient heat conduction model. Inverse Problems in Science and Engineering 18:2, pages 279-294.
Read now
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.
Read now
Torsten Lüttich, Adel Mhamdi & Wolfgang Marquardt. (2005) DESIGN, FORMULATION, AND SOLUTION OF MULTIDIMENSIONAL INVERSE HEAT CONDUCTION PROBLEMS. Numerical Heat Transfer, Part B: Fundamentals 47:2, pages 111-133.
Read now
Y. Candau. (2005) Solving inverse heat conduction problem with discrete wavelet transform. Inverse Problems in Science and Engineering 13:4, pages 329-339.
Read now
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.
Read now
M. Sassi & M. Raynaud. (1998) NEW SPACE-MARCHING METHOD FOR SOLVING INVERSE BOUNDARY PROBLEMS. Numerical Heat Transfer, Part B: Fundamentals 34:1, pages 31-38.
Read now
Joachim Blum & Wolfgang Marquardt. (1997) AN OPTIMAL SOLUTION TO INVERSE HEAT CONDUCTION PROBLEMS BASED ON FREQUENCY-DOMAIN INTERPRETATION AND OBSERVERS. Numerical Heat Transfer, Part B: Fundamentals 32:4, pages 453-478.
Read now
G. Blanc, J. V. Beck & M. Raynaud. (1997) SOLUTION OF THE INVERSE HEAT CONDUCTION PROBLEM WITH A TIME-VARIABLE NUMBER OF FUTURE TEMPERATURES. Numerical Heat Transfer, Part B: Fundamentals 32:4, pages 437-451.
Read now
Tzu-Fang Chen, Sui Lin & Joseph C. Y. Wang. (1996) An application of kalman filter and finite difference scheme to inverse heat conduction problems. Inverse Problems in Engineering 3:1-3, pages 163-175.
Read now
F. Scarpa & G. Milano. (1995) KALMAN SMOOTHING TECHNIQUE APPLIED TO THE INVERSE HEAT CONDUCTION PROBLEM. Numerical Heat Transfer, Part B: Fundamentals 28:1, pages 79-96.
Read now
M. Samai, Y. Jarny & D. Delaunay. (1993) AN OPTIMIZATION METHOD USING AN ADJOINT EQUATION TO IDENTIFY SOLIDIFICATION FRONT LOCATION. Numerical Heat Transfer, Part B: Fundamentals 23:1, pages 67-89.
Read now
H. C. Moulin & E. Bayo. (1992) WELL-CONDITIONED NUMERICAL METHOD FOR THE NONLINEAR INVERSE HEAT CONDUCTION PROBLEM. Numerical Heat Transfer, Part B: Fundamentals 22:3, pages 321-347.
Read now

Articles from other publishers (31)

Piotr Duda & Mariusz Konieczny. (2022) An Iterative Algorithm for the Estimation of Thermal Boundary Conditions Varying in Both Time and Space. Energies 15:7, pages 2686.
Crossref
M. Lei, M. Li, P.H. Wen & C.G. Bailey. (2018) Moving boundary analysis in heat conduction with multilayer composites by finite block method. Engineering Analysis with Boundary Elements 89, pages 36-44.
Crossref
S. Marsen, Y. Corre, H.P. Laqua, V. Moncada, D. Moseev, H. Niemann, M. Preynas & T. Stange. (2017) First results from protective ECRH diagnostics for Wendelstein 7-X. Nuclear Fusion 57:8, pages 086014.
Crossref
James Jan, Eben Prabhu, Xingfu Chen & Ulrich Weiss. (2016) Enhanced Heat Transfer Coefficient (HTC) Method to Model Air Quench Process: HTC Patching for More Accurate FEA Temperature Calculation. SAE International Journal of Passenger Cars - Mechanical Systems 9:2, pages 489-496.
Crossref
Daniel Weisz-Patrault, Alain Ehrlacher & Nicolas Legrand. (2014) Temperature and heat flux fast estimation during rolling process. International Journal of Thermal Sciences 75, pages 1-20.
Crossref
Ali FguiriNaouel DaouasM-Sassi RadhouaniHabib Ben Aissia. (2013) Inverse analysis for the determination of heat transfer coefficient. Canadian Journal of Physics 91:12, pages 1034-1043.
Crossref
Daniel Weisz-Patrault, Alain Ehrlacher & Nicolas Legrand. (2012) Evaluation of temperature field and heat flux by inverse analysis during steel strip rolling. International Journal of Heat and Mass Transfer 55:4, pages 629-641.
Crossref
R Ramanantsoa, M Masquère, J J Gonzalez, P Freton & J Pacheco. (2011) Experimental quantification of the transient heat flux transferred to the electrodes in a carbon nanotubes synthesis reactor. Journal of Physics: Conference Series 275, pages 012002.
Crossref
B. Niceno, Y. Sato, A. Badillo & M. Andreani. (2010) MULTI-SCALE MODELING AND ANALYSIS OF CONVECTIVE BOILING: TOWARDS THE PREDICTION OF CHF IN ROD BUNDLES. Nuclear Engineering and Technology 42:6, pages 620-635.
Crossref
Herbert Egger, Yi Heng, Wolfgang Marquardt & Adel Mhamdi. (2009) Efficient solution of a three-dimensional inverse heat conduction problem in pool boiling. Inverse Problems 25:9, pages 095006.
Crossref
Yi Heng, Adel Mhamdi, Sven Groß, Arnold Reusken, Martin Buchholz, Hein Auracher & Wolfgang Marquardt. (2008) Reconstruction of local heat fluxes in pool boiling experiments along the entire boiling curve from high resolution transient temperature measurements. International Journal of Heat and Mass Transfer 51:21-22, pages 5072-5087.
Crossref
Ali Fguiri, Naouel Daouas, Naceur Borjini, Med-Sassi Radhouani & Habib Ben Aïssia. (2007) Experimental inverse analysis for the determination of boundary conditions in the parallel hot wire technique. Experimental Thermal and Fluid Science 31:3, pages 209-220.
Crossref
C.F. Dong, F.Y. Sun & B.Q. Meng. (2007) A method of fundamental solutions for inverse heat conduction problems in an anisotropic medium. Engineering Analysis with Boundary Elements 31:1, pages 75-82.
Crossref
Shih-Kuo Wu & Hsin-Sen Chu. (2004) Inverse determination of surface temperature in thin-film/substrate systems with interface thermal resistance. International Journal of Heat and Mass Transfer 47:14-16, pages 3507-3515.
Crossref
Sun Kyoung Kim & Woo Il Lee. (2003) A Maximum Entropy Solution for a Two-Dimensional Inverse Heat Conduction Problem. Journal of Heat Transfer 125:6, pages 1197-1205.
Crossref
Michael Vynnycky, Je´ro^me Ferrari & Noam Lior. (2003) Some Analytical and Numerical Solutions to Inverse Problems Applied to Optimizing Phase-Transformation Tracking in Gas Quenching. Journal of Heat Transfer 125:1, pages 1-10.
Crossref
Sun Kyoung Kim & Woo Il Lee. (2002) Solution of inverse heat conduction problems using maximum entropy method. International Journal of Heat and Mass Transfer 45:2, pages 381-391.
Crossref
M. Prud'homme & T. Hung Nguyen. (2001) Solution of inverse free convection problems by conjugate gradient method: effects of Rayleigh number. International Journal of Heat and Mass Transfer 44:11, pages 2011-2027.
Crossref
Piotr Duda & Jan Taler. (2000) Numerical method for the solution of non-linear two-dimensional inverse heat conduction problem using unstructured meshes. International Journal for Numerical Methods in Engineering 48:6, pages 881-899.
Crossref
G. Blanc & M. Raynaud. (1996) Solution of the Inverse Heat Conduction Problem From Thermal Strain Measurements. Journal of Heat Transfer 118:4, pages 842-849.
Crossref
F. Mignard, C. Olagnon, G. Fantozzi, P. Chantrenne & M. Raynaud. (1996) Thermal shock behaviour of a coarse grain porous alumina. Journal of Materials Science 31:8, pages 2131-2138.
Crossref
N. J. RupertiJr.Jr., M. Raynaud & J. F. Sacadura. (1996) A Method for the Solution of the Coupled Inverse Heat Conduction-Radiation Problem. Journal of Heat Transfer 118:1, pages 10-17.
Crossref
J. Taler. (1996) A semi-numerical method for solving inverse heat conduction problemsSeminumerische Methode zur Lösung inverser Wärmeleitungsprobleme. Heat and Mass Transfer 31:3, pages 105-111.
Crossref
Diego A. Murio. 1993. The Mollification Method and the Numerical Solution of Ill-Posed Problems. The Mollification Method and the Numerical Solution of Ill-Posed Problems 60 106 .
Diego A. Murio. 1993. The Mollification Method and the Numerical Solution of Ill-Posed Problems. The Mollification Method and the Numerical Solution of Ill-Posed Problems 232 248 .
A S Carasso. (1992) Space marching difference schemes in the nonlinear inverse heat conduction problem. Inverse Problems 8:1, pages 25-43.
Crossref
J. F. Sacadura & T. T. Osman. (1990) Emissivity estimation through the solution of an inverse heat-conduction problem. Journal of Thermophysics and Heat Transfer 4:1, pages 86-91.
Crossref
M. Raynaud. 1990. Control of Distributed Parameter Systems 1989. Control of Distributed Parameter Systems 1989 389 394 .
M. Raynaud. (1989) Comparison of Space Marching Finite Difference Technique and Function Minimization Technique for The Estimation of the Front Location in Nonlinear Melting Problem. IFAC Proceedings Volumes 22:4, pages 389-394.
Crossref
E.R.G Eckert, R.J Goldstein, E Pfender, W.E Ibele, S.V Patankar, J.W Ramsey, T.W Simon, N.A Decker, T.H Kuehn, H.O Lee & S.L Girshick. (1987) Heat transfer—a review of 1986 literature. International Journal of Heat and Mass Transfer 30:12, pages 2449-2523.
Crossref
G.P. Flach & M.N. Özişik. (1987) Periodic B-spline basis for quasi-steady periodic inverse heat conduction. International Journal of Heat and Mass Transfer 30:5, pages 869-880.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.