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Numerical Heat Transfer Volume 1, 1978 - Issue 4
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Original Articles

APPLICATION OF THE FINITE-ELEMENT METHOD TO THE INVERSE HEAT CONDUCTION PROBLEM

G. W. Krutz Agricultural Engineering Department, Purdue University, West Lafayette, Indiana, 47907
,
R. J. Schoenhals Mechanical Engineering Department, Purdue University, West Lafayette, Indiana, 47907
&
P. S. Hore Mechanical Engineering Department, Purdue University, West Lafayette, Indiana, 47907
Pages 489-498 | Published online: 27 Feb 2007

REFERENCES

  • G. Stolz Jr. , Numerical Solutions to an Inverse Problem of Heat Conduction for Simple Shapes , Trans. ASME, J. Heat Transfer , vol. 82C , pp. 20 – 26 , 1960 .
  • J. V. Beck , Surface Heat Flux Determination Using an Integral Method , Nucl. Eng. Design , vol. 7 , pp. 170 – 178 , 1968 .
  • E. M. Sparrow , A. Haji-Sheihk , and T. S. Lundgren , The Inverse Problem in Transient Heat Conduction , Trans. ASME, J, Appl. Mech. , vol. 86E , pp. 369 – 375 , 1964 .
  • O. R. Burggraf , An Exact Solution of the Inverse Problem in Heat Conduction Theory and Applications , Trans. ASME, 7. Heat Transfer , vol. 86C , pp. 373 – 382 , 1964 .
  • V. A. Kover'yanov , Inverse Problem of Non-Steady State Thermal Conductivity , High Temp . (USSR) , vol. 5 , no. 1 , pp. 121 – 127 , 1967 .
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  • J. V. Beck and H. Wolf , The Non-linear Inverse Heat Conduction Problem , ASME Paper 65-HT-40 , 1965 .
  • J. V. Beck , Non-linear Estimation Applied to the Non-linear Inverse Heat Conduction Problem , Int. J. Heat Mass Transfer , vol. 13 , pp. 703 – 716 , 1970 .
  • N. D'Souza , Numerical Solution of One-Dimensional Inverse Transient Heat Conduction by Finite Difference Method , ASME Paper 75-WA/HT-81 , 1975 .
  • O. M. Alifanov , Numerical Solution of a Non-Linear Reverse Problem of Heat Conduction, J. Eng. Phys. (USSR) , vol. 25, no. 2, pp. 1070–1076, 1975.
  • O. M. Alifanov , Inverse Problem of Heat Conduction , J. Eng. Phys. (USSR) , vol. 25 , no. 3 , pp. 1187 – 1192 , 1975 .
  • L. A. Kozdoba , Some Results from Solutions of Inverse Heat Conduction Problems , Teplofiz. Teplotekh. , vol. 28 , pp. 10 – 15 , 1974 ( in Russian ).
  • V. L. Polhoriler , 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 , no. 5 , pp. 1431 and 1934 , 1974 .
  • A. Ya Kolp and V. V. Lebedev , Comparison of Solutions of the Inverse Heat-Conduction Problem by the Methods of Tikhonov and Sparrow , High Temp. (USSR) , vol. 11 , no. 2 , pp. 322 – 326 , 1973 .
  • L. D. Kalinnikov , Determination of Boundary Conditions in an Experimental Investigation of Unsteady-State Heat Transfer , High Temp. (USSR) , vol. 10 , no. 2 , pp. 334 – 339 , 1972 .
  • O. C. Zienkiewicz , The Finite Element Method in Engineering Science , McGraw- Hill , London , 1971 .
  • L. J. Segerlind , Applied Finite Element Analysis , Wiley , New York , 1976 .
  • G. D. Meyers , Analytical Methods in Conduction Heat Transfer , McGraw-Hill , New York , 1971 .

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