Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 1, 1978 - Issue 4
35
Views
11
CrossRef citations to date
0
Altmetric
Original Articles

Application of the Finite-Element Method to the Inverse Heat Conduction Problem

, &
Pages 489-498 | Published online: 14 Jul 2010

References

  • Stolz , G. 1960 . Numerical Solutions to an Inverse Problem of Heat Conduction for Simple Shapes . Trans. ASME, J. Heat Transfer , vol. 82C : 20 – 26 .
  • Beck , J. V. 1968 . Surface Heat Flux Determination Using an Integral Method . Nucl. Eng. Design , vol. 7 : 170 – 178 .
  • Sparrow , E. M. , Haji-Sheihk , A. and Lundgren , T. S. 1964 . The Inverse Problem in Transient Heat Conduction . Trans. ASME, J. Appl. Mech. , vol. 86E : 369 – 375 .
  • Burggraf , O. R. 1964 . An Exact Solution of the Inverse Problem in Heat Conduction Theory and Applications . Trans. ASME, J. Heat Transfer , vol. 86C : 373 – 382 .
  • Kover'yanov , V. A. 1967 . Inverse Problem of Non-Steady State Thermal Conductivity . High Temp. (USSR) , vol. 5 ( 1 ) : 121 – 127 .
  • Imber , M. and Khan , J. 1972 . Prediction of Transient Temperature Distributions with Embedded Thermocouples . AIAA J. , vol. 10 ( 6 ) : 784 – 789 .
  • Beck , J. V. and Wolf , H. 1965 . The Non-linear Inverse Heat Conduction Problem ASME Paper 65-HT-40
  • Beck , J. V. 1970 . Non-linear Estimation Applied to the Non-linear Inverse Heat Conduction Problem . Int. J. Heat Mass Transfer , vol. 13 : 703 – 716 .
  • D'Souza , N. 1975 . Numerical Solution of One-Dimensional Inverse Transient Heat Conduction by Finite Difference Method ASME Paper 75-WA/HT-81
  • Alifanov , O. M. 1975 . Numerical Solution of a Non-Linear Reverse Problem of Heat Conduction . J. Eng. Phys. (USSR) , vol. 25 ( 2 ) : 1070 – 1076 .
  • Alifanov , O. M. 1975 . Inverse Problem of Heat Conduction . J. Eng. Phys. (USSR) , vol. 25 ( 3 ) : 1187 – 1192 .
  • Kozdoba , L. A. 1974 . Some Results from Solutions of Inverse Heat Conduction Problems . Teplofiz. Teplotekh. , vol. 28 : 10 – 15 . (in Russian)
  • Polhoriler , V. L. 1974 . Using the Solution to the Reverse Problem of Heat Conduction in the Calculation of the Heat Transfer Coefficient from Temperature Readings Inside the Body . J. Eng. Phys. (USSR) , vol. 23 ( 5 ) : 1431 1934
  • Ya Kolp , A. and Lebedev , V. V. 1973 . Comparison of Solutions of the Inverse Heat-Conduction Problem by the Methods of Tikhonov and Sparrow . High Temp. (USSR) , vol. 11 ( 2 ) : 322 – 326 .
  • Kalinnikov , L. D. 1972 . Determination of Boundary Conditions in an Experimental Investigation of Unsteady-State Heat Transfer . High Temp. (USSR) , vol. 10 ( 2 ) : 334 – 339 .
  • Zienkiewicz , O. C. 1971 . The Finite Element Method in Engineering Science , London : McGraw-Hill .
  • Segerlind , L. J. 1976 . Applied Finite Element Analysis , New York : Wiley .
  • Meyers , G. D. 1971 . Analytical Methods in Conduction Heat Transfer , New York : McGraw-Hill .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.