Parametric identification of a heating mobile source in a three-dimensional geometry

References

• Muniz WB, de Campos Velho HFD, Ramos FM. A comparison of some inverse methods for estimating the initial condition of the heat equation. J. Comput. Appl. Math. 1999;103:145–163.10.1016/S0377-0427(98)00249-0
   Web of Science ®Google Scholar
• Li HY, Yan WM. Identification of wall heat flux for turbulent forced convection by inverse analysis. Int. J. Heat Mass Transfer. 2003;46:1041–1048.10.1016/S0017-9310(02)00364-2
   Web of Science ®Google Scholar
• Telejko T, Malinowski Z. Application of an inverse solution to the thermal conductivity identification using the finite element method. J. Mater. Process. Technol. 2004;146:145–155.10.1016/j.jmatprotec.2003.10.006
   Web of Science ®Google Scholar
• Silva SMMLE, Vilarinho L, Scotti A, Ong TH, Guimaraes G. Heat flux determination in the gas-tungsten-arc welding process by using a three-dimensional model in inverse heat conduction problem. High Temp. High Press. 2003;35/36:117–126.
   Web of Science ®Google Scholar
• Wippo V, Devrient M, Kern M, Jaeschke P, Frick T, Stute U, Schmidt M, Haferkamp H. Evaluation of a pyrometric-based temperature measuring process for the laser transmission welding. Phys. Procedia. 2012;39:128–136.10.1016/j.phpro.2012.10.022
   Google Scholar
• Zhou JH, Zhang YW, Chen JK, Feng ZC. Inverse estimation of surface heating condition in a three-dimensional object using conjugate gradient method. Int. J. Heat Mass Transfer. 2010;53:2643–2654.10.1016/j.ijheatmasstransfer.2010.02.048
   Web of Science ®Google Scholar
• Museux N, Perez L, Autrique L, Agay D. Skin burns after laser exposure: histological analysis and predictive simulation. Burns. 2012;38:658–667.10.1016/j.burns.2011.12.006
   PubMed Web of Science ®Google Scholar
• Neto AJ, Özişik MN. Simultaneous estimation of location and timewise-varying strength of a plane heat source. Numer. Heat Transfer, Part A. 1993;24:467–477.10.1080/10407789308902635
   Web of Science ®Google Scholar
• Khachfe RA, Jarny Y. Numerical solution of 2-D nonlinear inverse heat conduction problems using finite-element techniques. Numer. Heat Transfer, Part B. 2000;37:45–67.
   Web of Science ®Google Scholar
• Abou khachfe RA, Jarny Y. Determination of heat sources and heat transfer coefficient for two-dimensional heat flow – numerical and experimental study. Int. J. Heat Mass Transfer. 2001;44:1309–1322.10.1016/S0017-9310(00)00186-1
   Web of Science ®Google Scholar
• Lefèvre F, Le Niliot C. Multiple transient point heat sources identification in heat diffusion: application to experimental 2D problems. Int. J. Heat Mass Transfer. 2002;45:1951–1964.10.1016/S0017-9310(01)00299-X
   Web of Science ®Google Scholar
• Beck JV, Blackwell B, Clair CRS. Inverse heat conduction. New York (NY): John Wiley; 1985.
   Google Scholar
• Hensel E. Inverse theory and applications for engineers. Englewood Cliffs (NJ): Prentice-Hall; 1991.
   Google Scholar
• Alifanov OM. Inverse heat transfer problems. Berlin: Springer-Verlag; 1979. p. 384.
   Google Scholar
• Blanc G, Raynaud M, Chau TH. A guide for the use of the function specification method for 2D inverse heat conduction problems. Revue Générale de Thermique. 1998;37:17–30.10.1016/S0035-3159(97)82463-4
   Web of Science ®Google Scholar
• Jarny Y, Ozisik MN, Bardon JP. A general optimization method using adjoint equation for solving multidimensional inverse heat conduction. Int. J. Heat Mass Transfer. 1991;34:2911–2919.10.1016/0017-9310(91)90251-9
   Web of Science ®Google Scholar
• Huang CH, Wang SP. A three-dimensional inverse heat conduction problem in estimating surface heat flux by conjugate gradient method. Int. J. Heat Mass Transfer. 1999;42:3387–3403.10.1016/S0017-9310(99)00020-4
   Web of Science ®Google Scholar
• Huang CH, Chen WC. A three-dimensional inverse forced convection problem in estimating surface heat flux by conjugate gradient method. Int. J. Heat Mass Transfer. 2000;43:3171–3181.10.1016/S0017-9310(99)00330-0
   Web of Science ®Google Scholar
• Rouquette S, Autrique L, Chaussavoine C, Thomas L. Identification of influence factors in a thermal model of a plasma-assisted chemical vapor deposition process. Inverse Prob. Sci. Eng. 2007;15:489–515.10.1080/17415970600838764
   Web of Science ®Google Scholar
• Feng ZC, Chen JK, Zhang YW, Griggs JL. Estimation of front surface temperature and heat flux of a locally heated plate from distributed sensor data on the back surface. Int. J. Heat Mass Transfer. 2011;54:3431–3439.10.1016/j.ijheatmasstransfer.2011.03.043
   Web of Science ®Google Scholar
• Zhou JH, Zhang YW, Chen JK, Feng ZC. Inverse estimation of surface temperature induced by a moving heat source in a 3-D object based on back surface temperature with random measurement errors. Numer. Heat Transfer, Part A. 2012;61:85–100.10.1080/10407782.2012.644166
   Web of Science ®Google Scholar
• Zhou JH, Zhang YW, Chen JK, Feng ZC. Inverse estimation of front surface temperature of a plate with laser heating and convection–radiation cooling. Int. J. Therm. Sci. 2012;52:22–30.10.1016/j.ijthermalsci.2011.09.009
   Web of Science ®Google Scholar
• Dennis B, Dulikravich GS. Inverse determination of unsteady temperatures and heat fluxes on inaccessible boundaries. J. Inverse and III-posed Prob. 2012;20:791–803.
   Web of Science ®Google Scholar
• Gardarein JL, Corre Y, Rigollet F, Le Niliot C, Reichle R, Andrew P. Thermal quadrupoles approach for two-dimensional heat flux estimation using infrared and thermocouple measurements on the JET tokamak. Int. J. Therm. Sci. 2009;48:1–13.10.1016/j.ijthermalsci.2008.02.005
   Web of Science ®Google Scholar
• Gaspar J, Gardarein JL, Rigollet F, Le Niliot C, Corre Y, Devaux S. Nonlinear heat flux estimation in the JET divertor with the ITER like wall. Int. J. Therm. Sci. 2013;72:82–91.10.1016/j.ijthermalsci.2013.04.029
   Web of Science ®Google Scholar
• Le Niliot C, Lefèvre F. A parameter estimation approach to solve the inverse problem of point heat sources identification. Int. J. Heat Mass Transfer. 2004;47:827–841.10.1016/j.ijheatmasstransfer.2003.08.011
   Web of Science ®Google Scholar
• Tarantola A. Inverse problem theory and Methods for Model Parameter Estimation. SIAM Soc. Ind. Appl. Math. 2005:342.
   Google Scholar
• Perez L, Gillet M, Autrique L. Parametric identification of a multi-layered intumescent system. In: 5th International Conference: Inverse Problems (Identification, Design and Control); 2007 May 10–17; Russia, Moscow.
   Google Scholar
• Weinstock RP. Calculus of variations. New York (NY): McGraw-Hill; 1952. p. 326.
   Google Scholar
• Alifanov OM, Artyukhin EA, Rumyantsev SV. Extreme methods for solving ill posed problems with applications to inverse heat transfer problems. New York (NY): Begell House; 1995.
   Google Scholar
• Powell MJD. Restart procedures for the conjugate gradient method. Math. Program. (North-Holland Publishing Company). 1977;12:241–254.
   Web of Science ®Google Scholar