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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 39, 2001 - Issue 3
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Original Articles

MULTIPLE TRANSIENT POINT HEAT SOURCES IDENTIFICATION IN HEAT DIFFUSION: APPLICATION TO NUMERICAL TWO- AND THREE-DIMENSIONAL PROBLEMS

Pages 277-301 | Published online: 29 Oct 2010

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Yung-Wei Chen. (2019) Simultaneous determination of the heat source and the initial data by using an explicit Lie-group shooting method. Numerical Heat Transfer, Part B: Fundamentals 75:4, pages 239-264.
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Tser-Son Wu, Ching-Liu Chu, Ming-I Char & Yu-Ching Yang. (2012) Inverse Thermo-Mechanical Analysis of a Functionally Graded Fin. Journal of Thermal Stresses 35:9, pages 733-748.
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M. Mierzwiczak & J.A. Kołodziej. (2011) The determination of heat sources in two dimensional inverse steady heat problems by means of the method of fundamental solutions. Inverse Problems in Science and Engineering 19:6, pages 777-792.
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Win-Jin Chang, Haw-Long Lee & Yu-Ching Yang. (2011) Estimation of Heat Flux and Thermal Stresses in Functionally Graded Hollow Circular Cylinders. Journal of Thermal Stresses 34:7, pages 740-755.
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Yu-Ching Yang, Wen-Lih Chen & Haw-Long Lee. (2011) A Nonlinear Inverse Problem in Estimating the Heat Generation in Rotary Friction Welding. Numerical Heat Transfer, Part A: Applications 59:2, pages 130-149.
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Tien-Mo Shih, Chandrasekhar Thamire, Chao-Ho Sung & An-Lu Ren. (2010) Literature Survey of Numerical Heat Transfer (2000–2009): Part I. Numerical Heat Transfer, Part A: Applications 57:3-4, pages 159-296.
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Mostafa Sefidgar, Ali Hakkaki-Fard & Farshad Kowsary. (2009) Application of Wavelet in Highly Ill-Posed Inverse Heat Conduction Problem. Heat Transfer Engineering 30:6, pages 516-527.
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Wen-Lih Chen & Yu-Ching Yang. (2008) Estimation of the Transient Heat Transfer Rate at the Boundary of an Electronic Chip Packaging. Numerical Heat Transfer, Part A: Applications 54:10, pages 945-961.
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Aziz Azimi, Siamak Kazemzadeh Hannani & Bijan Farhanieh. (2008) Structured Multiblock Body-Fitted Grids Solution of Transient Inverse Heat Conduction Problems in an Arbitrary Geometry. Numerical Heat Transfer, Part B: Fundamentals 54:3, pages 260-290.
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Aziz Azimi, Siamak Kazemzadeh Hannani & Bijan Farhanieh. (2008) Implementation of Geometrical Domain Decomposition Method for Solution of Axisymmetric Transient Inverse Heat Conduction Problems. Heat Transfer Engineering 29:3, pages 255-271.
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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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Aziz Azimi, Siamak Kazemzadeh Hannani & Bijan Farhanieh. (2005) Structured Multiblock Grid Solution of Two-Dimensional Transient Inverse Heat Conduction Problems in Cartesian Coordinate System. Numerical Heat Transfer, Part B: Fundamentals 48:6, pages 571-590.
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Articles from other publishers (27)

Jairo Rocha de Faria, Daniel Lesnic, Rômulo da Silva Lima & Thiago José Machado. (2022) The method of fundamental solutions for pointwise source reconstruction. Computers & Mathematics with Applications 114, pages 171-179.
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Zhong-Rong Lu, Tiancheng Pan & Li Wang. (2019) A sparse regularization approach to inverse heat source identification. International Journal of Heat and Mass Transfer 142, pages 118430.
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N. Ghiasi & A. Khosravifard. (2019) A novel method for estimation of intensity and location of multiple point heat sources based on strain measurement. Engineering Analysis with Boundary Elements 98, pages 203-216.
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John Murray-Bruce & Pier Luigi Dragotti. (2016) Solving inverse source problems for linear PDEs using sparse sensor measurements. Solving inverse source problems for linear PDEs using sparse sensor measurements.
John Murray-Bruce & Pier Luigi Dragotti. (2015) Estimating Localized Sources of Diffusion Fields Using Spatiotemporal Sensor Measurements. IEEE Transactions on Signal Processing 63:12, pages 3018-3031.
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M.R. Golbahar Haghighi, P. Malekzadeh & M. Afshari. (2015) Inverse estimation of heat flux and pressure in functionally graded cylinders with finite length. Composite Structures 121, pages 1-15.
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M. R. Golbahar Haghighi, P. Malekzadeh & M. Afshari. (2014) Inverse internal pressure estimation of functionally graded cylindrical shells under thermal environment. Acta Mechanica 225:12, pages 3377-3393.
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Ajit K. Parwani, Prabal Talukdar & P.M.V. Subbarao. (2013) Simultaneous estimation of strength and position of a heat source in a participating medium using DE algorithm. Journal of Quantitative Spectroscopy and Radiative Transfer 127, pages 130-139.
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Wen-Lih Chen, Huann-Ming Chou & Yu-Ching Yang. (2013) An inverse problem in estimating the space-dependent thermal conductivity of a functionally graded hollow cylinder. Composites Part B: Engineering 50, pages 112-119.
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F. Bozzoli, G. Pagliarini & S. Rainieri. (2013) Experimental validation of the filtering technique approach applied to the restoration of the heat source field. Experimental Thermal and Fluid Science 44, pages 858-867.
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Haw-Long Lee, Win-Jin Chang, Wen-Lih Chen & Yu-Ching Yang. (2012) Inverse heat transfer analysis of a functionally graded fin to estimate time-dependent base heat flux and temperature distributions. Energy Conversion and Management 57, pages 1-7.
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Haw-Long Lee, Win-Jin Chang, Shu-Huang Sun & Yu-Ching Yang. (2012) Estimation of temperature distributions and thermal stresses in a functionally graded hollow cylinder simultaneously subjected to inner-and-outer boundary heat fluxes. Composites Part B: Engineering 43:2, pages 786-792.
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Yu-Ching Yang & Wen-Lih Chen. (2011) A nonlinear inverse problem in estimating the heat flux of the disc in a disc brake system. Applied Thermal Engineering 31:14-15, pages 2439-2448.
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Wen-Lih Chen & Yu-Ching Yang. (2011) Inverse prediction of frictional heat flux and temperature in sliding contact with a protective strip by iterative regularization method. Applied Mathematical Modelling 35:6, pages 2874-2886.
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M Andrle, F Ben Belgacem & A El Badia. (2011) Identification of moving pointwise sources in an advection–dispersion–reaction equation. Inverse Problems 27:2, pages 025007.
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Magdalena Mierzwiczak & Jan Adam Kołodziej. (2010) Application of the method of fundamental solutions and radial basis functions for inverse transient heat source problem. Computer Physics Communications 181:12, pages 2035-2043.
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Srinivasan Sundhar Ram, Venugopal V. Veeravalli & Angelina Nedić. 2009. Sensor Networks. Sensor Networks 17 38 .
Wen-Lih Chen & Yu-Ching Yang. (2009) Inverse estimation for the unknown frost geometry on the external wall of a forced-convection pipe. Energy Conversion and Management 50:6, pages 1457-1464.
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Wen-Lih Chen, Yu-Ching Yang & Shao-Shu Chu. (2009) Estimation of heat generation at the interface of cylindrical bars during friction process. Applied Thermal Engineering 29:2-3, pages 351-357.
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David T.W. Lin & Ching-yu Yang. (2007) The estimation of the strength of the heat source in the heat conduction problems. Applied Mathematical Modelling 31:12, pages 2696-2710.
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Ching-yu Yang. (2006) The determination of two moving heat sources in two-dimensional inverse heat problem. Applied Mathematical Modelling 30:3, pages 278-292.
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Ching-Yu Yang. (2005) Estimation of Multiple Heat Sources in Two-Dimensional Heat Conduction Problems. Journal of Thermophysics and Heat Transfer 19:3, pages 388-394.
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Christophe Le Niliot & Frédéric Lefèvre. (2004) A parameter estimation approach to solve the inverse problem of point heat sources identification. International Journal of Heat and Mass Transfer 47:4, pages 827-841.
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R.J Goldstein, E.R.G Eckert, W.E Ibele, S.V Patankar, T.W Simon, T.H Kuehn, P.J Strykowski, K.K Tamma, J.V.R Heberlein, J.H Davidson, J Bischof, F.A Kulacki, U Kortshagen & S Garrick. (2003) Heat transfer––a review of 2001 literature. International Journal of Heat and Mass Transfer 46:11, pages 1887-1992.
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Frédéric Lefèvre & Christophe Le Niliot. (2002) The BEM for point heat source estimation: application to multiple static sources and moving sources. International Journal of Thermal Sciences 41:6, pages 536-545.
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Fr?d?ric Lef?vre & Christophe Le Niliot. (2002) Multiple transient point heat sources identification in heat diffusion: application to experimental 2D problems. International Journal of Heat and Mass Transfer 45:9, pages 1951-1964.
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David Nortershauser & Pierre Millan. (2001) Estimation of moving heat sources with a three-dimensional unsteady inverse method. Aerospace Science and Technology 5:8, pages 529-540.
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