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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 47, 2005 - Issue 3
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Original Articles

INPUT ESTIMATION METHOD INCLUDING FINITE-ELEMENT SCHEME FOR SOLVING INVERSE HEAT CONDUCTION PROBLEMS

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Pages 277-290 | Received 12 Mar 2004, Accepted 25 Jun 2004, Published online: 24 Feb 2007

REFERENCES

  • G. Stolz , Jr. , Numerical Solutions to an Inverse Problem of Heat Conduction for Simple Shapes , ASME Heat Transfer , vol. 82 , pp. 20 – 26 , 1960 .
  • J. V. Beck and K. J. Arnold , Parameter Estimation in Engineering and Science , Wiley , New York , 1977 .
  • Yu. E. Voskoboinikov and N. G. Preobrazhenskil , Descriptive Solution of the Inverse Heat Conduction Problem in the B-Spline Basis , J. Eng. Phys. , vol. 45 , no. 5 , pp. 1254 – 1258 , 1984 .
  • G. P. Flach and M. N. Özisik , B-Spline Basis for Quasi-steady Periodic Inverse Heat Conduction , Int. J. Heat Mass Transfer , vol. 30 , pp. 869 – 880 , 1987 . [CROSSREF]
  • O. M. Alifanov and E. A. Artyukhin , Regularized Numerical Solution of Non-linear Inverse Heat Conduction Problem , J. Eng. Phys. , vol. 29 , no. 1 , pp. 934 – 938 , 1975 . [CROSSREF]
  • E. P. Scott and J. V. Beck , Analysis of Order of the Sequential Regularization Solution of Inverse Heat Conduction Problem , Trans. ASME , vol. 111 , pp. 218 – 224 , 1989 . [CSA]
  • H. R. Busby and D. M. Trujillo , Optimal Regularization of the Inverse Heat Conduction Problems , J. Thermophys. , vol. 3 , no. 4 , pp. 423 – 427 , 1989 .
  • M. O. Alifanov , Solution of an Inverse Problem of Heat Conduction by Iteration Methods , J. Eng. Phys. , vol. 26 , pp. 471 – 476 , 1974 . [CROSSREF]
  • C. H. Huang and M. N. Özisik , Inverse Problem of Determining the Unknown Strength of an Internal Plate Heat Source , J. Franklin Inst. , vol. 329 , no. 4 , pp. 751 – 764 , 1992 . [CROSSREF]
  • C. H. Huang , M. N. Özisik , and B. Sawaf , Conjugate Gradient Method for Determining Unknown Contact Conductance during Metal Casting, J. Heat Mass Transfer , vol. 35, no. 7, pp. 1779–1786, 1992. [CROSSREF]
  • P. C. Tuan , The Estimation of Thermal Unknown Functions by Solving Two Dimensional Inverse Heat Conduction Problems, Ph.D. thesis , North Carolina State University , Raleigh , NC , 1991 .
  • A. A. Tseng , T. C. Chen , and F. Z. Zhao , Direct Sensitivity Coefficient Method for Solving Two-Dimensional Inverse Heat Conduction Problems by Finite Element Scheme , Numer. Heat Transfer B , vol. 29 , no. 3 , pp. 291 – 307 , 1995 .
  • M. Imber , Two Dimensional Inverse Problem in Heat Conduction , Int. Heat Transfer Conf. , 5th Proc. , Tokyo , Japan , 1974 , vol. 1 , pp. 174 – 178 .
  • A. A. Tseng and F. Z. Zhao , Multidimensional Inverse Transient Heat Conduction Problems by Direct Sensitivity Coefficient Method Using a Finite-Element Scheme , Numer. Heat Transfer B , vol. 29 , pp. 365 – 380 , 1996 .
  • P. C. Tuan , C. C. Ji , L. W. Fong , and W. T. Huang , An Input Estimation Approach to On-Line Two-Dimensional Inverse Heat Conduction Problems , Numer. Heat Transfer B , vol. 29 , pp. 345 – 363 , 1996 .
  • P. C. Tuan and M. C. Ju , The Validation of the Robust Input Estimation Approach to Two-Dimensional Inverse Heat Conduction Problems , Numer. Heat Transfer B , vol. 37 , no. 2 , pp. 247 – 265 , 2000 . [CROSSREF]
  • T. C. Chen and P. C. Tuan , Inverse Problem of Estimating Interface Conductance between Periodically Contacting Surfaces Using the Weighting Input Estimation Method , Numer. Heat Transfer B , vol. 41 , pp. 477 – 492 , 2002 . [CSA] [CROSSREF]
  • G. W. Krutz , R. J. Schoenhals , and P. S. Hore , Application of Finite Element Method to the Inverse Heat Conduction Problem , Numer. Heat Transfer , vol. 1 , pp. 489 – 498 , 1978 .
  • B. R. Bass , Application of the Finite Element Method to the Nonlinear Inverse Heat Conduction Problem Using Beck's Second Method , J. Eng. Ind. , vol. 102 , pp. 168 – 176 , 1980 .
  • X. Ling , R. G. Keanini , and H. P. Cherukuri , A Non-iterative Finite Element Method for Inverse Heat Conduction Problems , Int. J. Numer. Meth. Eng. , vol. 56 , no. 9 , pp. 1315 – 1334 , 2003 . [CSA] [CROSSREF]
  • J. S. Larry , Applied Finite Element Analysis , East Lansing , MI , 1976 .
  • A. H. Jazwinski , Stochastic Processes and Filtering Theory , Academic Press , New York , 1970 .
  • P. C. Tuan , L. W. Fong , and W. T. Huang , Analysis of On-Line Inverse Heat Conduction Problems , J. Chung Chen Inst. Technol. , vol. 25 , no. 1 , pp. 59 – 73 , 1996 . [CSA]
  • Y. T. Chan , A. G. Hu , and J. B. Plant , Akalman Filter Based Tracking Scheme with Input Estimation , IEEE Trans. Aerospace Electronic Syst. , vol. AES-15 , pp. 237 – 244 , 1979 .

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