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Original Articles

Global time method for inverse heat conduction problem

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Pages 651-664 | Received 12 Feb 2012, Accepted 13 Feb 2012, Published online: 24 Apr 2012

References

  • Burggraf, OR, 1964. An exact solution of the inverse problem in heat conduction theory and application, J. Heat Transfer 86 (1964), pp. 373–382.
  • Beck, JV, , Calculation of surface heat flux from an internal temperature history, ASME Paper no. 62-HT-46, 1962.
  • Kurpisz, K, and Nowak, AJ, 1995. Inverse Thermal Problems. Southampton: Computational Mechanics Publications; 1995.
  • Beck, JV, Blackwell, B, and Haji-Sheikh, A, 1996. Comparison of some inverse heat conduction methods using experimental data, Int. J. Heat Mass Transfer 39 (17) (1996), pp. 3649–3657.
  • Beck, JV, 2008. Filter solutions for the nonlinear inverse heat conduction problem, Inverse Prob. Sci. Eng. 16 (1) (2008), pp. 3–20.
  • D'souza, N, , Numerical solution of one-dimensional inverse transient heat conduction by finite difference method, Winter Annual Meeting, ASME Paper no. 75-WA/HT-81, Houston, TX, 1974.
  • Elkins, BS, Keyhani, M, and Frankel, JI, , Methodology for stable and accurate resolution of the inverse heat conduction problem, Int. J. Numer. Methods Eng., in review.
  • Carasso, AS, 1992. Space marching difference schemes in the nonlinear inverse heat conduction problem, Inverse Prob. 8 (1) (1992), pp. 25–43.
  • Carasso, AS, 1993. Slowly divergent space marching schemes in the inverse heat conduction problem, Numer. Heat Transfer, Part B 23 (1) (1993), pp. 111–126.
  • Al-Khalidy, N, 1999. Analysis of boundary inverse heat conduction problems using space marching with Savitzky-Gollay digital filter, Int. Commun. Heat Mass Transfer 26 (2) (1999), pp. 199–208.
  • Murio, DA, and Hinestroza, D, 1993. The space marching solution of the inverse heat conduction problem and the identification of the initial temperature distribution, Comput. Math. Appl. 25 (4) (1993), pp. 55–63.
  • Taler, J, 1999. A new space marching method for solving inverse heat conduction problems, Forschung im Ingenieurwesen 64 (11) (1999), pp. 296–306.
  • Lohle, S, Battaglia, JL, Batsale, JC, Bourserau, F, Conte, D, Jullien, P, Ootegem, B van, Couzi, J, and Lasserre, JP, , Estimation of high heat flux in supersonic plasma flows, Proceedings of IEEE Industrial Electronics, IECON, Paris, 2006.
  • Lohle, S, Battaglia, JL, Batsale, JC, Enouf, O, Dubard, J, and Filtz, JR, 2007. Characterization of a heat flux sensor using short pulse laser calibration, Rev. Sci. Instrum. 78 (5) (2007), p. 6.
  • Battaglia, JL, Cois, O, Puigsegur, L, and Oustaloup, A, 2001. Solving an inverse heat conduction problem using a non-integer identified model, Int. J. Heat Mass Transfer 44 (14) (2001), pp. 2671–2680.
  • Taler, J, 1996. A semi-numerical method for solving inverse heat conduction problems, Heat Mass Transfer 31 (3) (1996), pp. 105–111.
  • Kim, SK, and Lee, WI, 2002. Solution of inverse heat conduction problems using maximum entropy method, Int. J. Heat Mass Transfer 45 (2) (2002), pp. 381–391.
  • Özisik, MN, and Orlande, HRB, 2000. Inverse Heat Transfer. New York: Taylor & Francis; 2000.
  • Shen, SY, 1999. A numerical study of inverse heat conduction problems, Comput. Math. Appl. 38 (7–8) (1999), pp. 173–188.
  • Deng, S, and Hwang, Y, 2006. Applying neural networks to the solution of forward and inverse heat conduction problems, Int. J. Heat Mass Transfer 49 (25–26) (2006), pp. 4732–4750.
  • Beck, JV, Blackwell, B, and St Clair, CR, 1985. Inverse Heat Conduction. New York: Wiley; 1985.
  • Frankel, J, 2007. Regularization of inverse heat conduction by combination of rate sensor analysis and analytic continuation, J. Eng. Math. 57 (2) (2007), pp. 181–198.
  • Frankel, JI, and Keyhani, M, 1997. A global time treatment for inverse heat conduction problems, J. Heat Transfer 119 (4) (1997), pp. 673–683.
  • Elkins, BS, Huang, M, and Frankel, JI, 2012. In-situ higher-time derivative of temperature sensors for heat transfer, Int. J. Therm. Sci. 52 (2012), pp. 31–39.
  • Frankel, JI, Keyhani, M, and Taira, K, 2004. In-phase error estimation of experimental data and optimal first derivatives, AIAA Journal 42 (5) (2004), pp. 1017–1024.
  • Murio, D, 2002. Mollification and Space Marching. Boca Raton, FL: Inverse Engineering Handbook, CRC Press; 2002.
  • Abramowitz, M, and Stegun, IA, 1965. Handbook of Mathematical Functions. New York: Dover; 1965.
  • Frankel, JI, Osborne, G, and Taira, K, 2006. Stabilization of ill-posed problems through thermal rate sensors, J. Thermophys. Heat Transfer 20 (2) (2006), pp. 238–246.

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