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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

AN OPTIMAL SOLUTION TO INVERSE HEAT CONDUCTION PROBLEMS BASED ON FREQUENCY-DOMAIN INTERPRETATION AND OBSERVERS

Joachim Blum Lehrstuhl für Prozesstechnik, RWTHAachen University of Technology, Turmstrasse 46, Aachen, 52056, Germany
&
Wolfgang Marquardt Lehrstuhl für Prozesstechnik, RWTHAachen University of Technology, Turmstrasse 46, Aachen, 52056, GermanyCorrespondenceE-mail: [email protected]
Pages 453-478 | Received 14 Feb 1997, Accepted 15 Jul 1997, Published online: 23 Mar 2007

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Valério Luiz Borges, Priscila F.B. Sousa & Gilmar Guimarães. (2008) Experimental determination of thermal conductivity and diffusivity using a partially heated surface method without heat flux transducer. Inverse Problems in Science and Engineering 16:8, pages 1047-1067.
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Priscila F.B. Sousa, Solidônio R. Carvalho & Gilmar Guimarães. (2008) Dynamic observers based on Green's functions applied to 3D inverse thermal models. Inverse Problems in Science and Engineering 16:6, pages 743-761.
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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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Xingjian Xue, Rogelio Luck & John T. Berry. (2005) Comparisons and improvements concerning the accuracy and robustness of inverse heat conduction algorithms. Inverse Problems in Science and Engineering 13:2, pages 177-199.
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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.
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Articles from other publishers (21)

M. R. Shahnazari, F. Roohi Shali, A. Saberi & M. H. Moosavi. (2021) A New Hybrid Method for Solving Inverse Heat Conduction Problems. International Journal of Mechanics 15, pages 151-158.
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D.G. Cuadrado, A. Marconnet & G. Paniagua. (2020) Non-linear Non-Iterative transient inverse conjugate heat transfer method applied to microelectronics. International Journal of Heat and Mass Transfer 152, pages 119503.
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Mohammad B. Haddadi & Reza Maddahian. (2016) A New Algorithm for Image Reconstruction of Electrical Capacitance Tomography Based on Inverse Heat Conduction Problems. IEEE Sensors Journal 16:6, pages 1786-1794.
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Ana Paula Fernandes, Marcelo Braga dos Santos & Gilmar Guimarães. (2015) An analytical transfer function method to solve inverse heat conduction problems. Applied Mathematical Modelling 39:22, pages 6897-6914.
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Priscila F.B. de Sousa, Valério L. Borges, Igor C. Pereira, Marcio B. da Silva & Gilmar Guimarães. (2012) Estimation of heat flux and temperature field during drilling process using dynamic observers based on Green's function. Applied Thermal Engineering 48, pages 144-154.
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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.
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R. Pourgholi, N. Azizi, Y.S. Gasimov, F. Aliev & H.K. Khalafi. (2009) Removal of numerical instability in the solution of an inverse heat conduction problem. Communications in Nonlinear Science and Numerical Simulation 14:6, pages 2664-2669.
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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.
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A. Shidfar & R. Pourgholi. (2006) Numerical approximation of solution of an inverse heat conduction problem based on Legendre polynomials. Applied Mathematics and Computation 175:2, pages 1366-1374.
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Torsten Lüttich, Wolfgang Marquardt, Martin Buchholz & Hein Auracher. (2006) Identification of unifying heat transfer mechanisms along the entire boiling curve. International Journal of Thermal Sciences 45:3, pages 284-298.
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Sung-Chong Chung. (2005) Temperature estimation in drilling processes by using an observer. International Journal of Machine Tools and Manufacture 45:15, pages 1641-1651.
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A. Shidfar & R. Pourgholi. (2005) Application of finite difference method to analysis an ill-posed problem. Applied Mathematics and Computation 168:2, pages 1400-1408.
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J-Y Ahn & S-C Chung. (2016) Real-time estimation of the temperature distribution and expansion of a ball screw system using an observer. Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture 218:12, pages 1667-1681.
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H Auracher & W Marquardt. (2004) Heat transfer characteristics and mechanisms along entire boiling curves under steady-state and transient conditions. International Journal of Heat and Fluid Flow 25:2, pages 223-242.
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Adel Mhamdi & Wolfgang Marquardt. (2004) Estimation of Reaction Rates by Nonlinear System Inversion. IFAC Proceedings Volumes 37:1, pages 167-172.
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Tae-Hoon Kim & Sung-Chong Chung. (2003) Analysis of Thermal Behavior and Temperature Estimation by using an Observer in Drilling Processes. Transactions of the Korean Society of Mechanical Engineers A 27:9, pages 1499-1507.
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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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Somchart Chantasiriwan. (2001) An algorithm for solving multidimensional inverse heat conduction problem. International Journal of Heat and Mass Transfer 44:20, pages 3823-3832.
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R Hohl, J Blum, M Buchholz, T Lüttich, H Auracher & W Marquardt. (2001) Model-based experimental analysis of pool boiling heat transfer with controlled wall temperature transients. International Journal of Heat and Mass Transfer 44:12, pages 2225-2238.
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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.
Crossref
Joachim Blum & Wolfgang Marquardt. 2000. Transient Phenomena in Multiphase and Multicomponent Systems. Transient Phenomena in Multiphase and Multicomponent Systems 227 240 .

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