Publication Cover
Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 21, 1992 - Issue 1
163
Views
144
CrossRef citations to date
0
Altmetric
Original Articles

INVERSE PROBLEM OF DETERMINING UNKNOWN WALL HEAT FLUX IN LAMINAR FLOW THROUGH A PARALLEL PLATE DUCT

&
Pages 55-70 | Received 02 Jan 1991, Accepted 07 Mar 1991, Published online: 30 Mar 2007

References

  • J. V. Beck , B. Blackwell , and C. R. St. Clair , Inverse Heat Conduction—III Posed Problem , Wiley , New York , 1985 .
  • R. Fletcher and C. M. Reeves , Function Minimization by Conjugate Gradients , Brit. Corn-put. J ., pp. 149 – 154 , July 1964 .
  • F. S. Beckman , The Solution of Linear Equation by Conjugate Gradient Method , in Mathematical Method for Digital Computer , ed. A. Ralston and H. S. Wilf, chap. 4 , Wiley , New York , 1960 .
  • L. S. Lasdon , S. K. Mitter , and A. D. Waren , The Conjugate Gradient Method for Optimal Control Problem , IEEE Trans. Automat. Control , vol. 12 , no. 2 , pp. 132 – 138 , April 1967 .
  • W. J. Kammerer and M. Z. Nashed , On the Convergence of the Conjugate Gradient Method for Singular Linear Operator Equation , SIAM J. Numer. Anal ., vol. 9 , no. 1 , pp. 165 – 181 , 1972 .
  • O. M. Alifanov , Solution of an Inverse Problem of Heat Conduction by Iteration Methods , J. Eng. Phys . vol. 26 , no. 4 , pp. 471 – 476 , 1974 .
  • O. M. Alifanov and V. V. Mikhailov , Solution of the Nonlinear Inverse Thermal Conductivity Problem by the Iteration Method , J. Eng. Phys ., vol. 35 , no. 6 , pp. 1501 – 1506 , 1978 .
  • O. M. Alifanov and E. A. Artyukhin , Regularized Numerical Solution of Nonlinear Inverse Heat Conduction Problem , J. Eng. Phys ., vol. 29 , no. 1 , pp. 934 – 938 , 1975 .
  • V. S. Arpaci and P. S. Larsen , Convective Heat Transfer , Prentice-Hall , Englewood Cliffs , N.J. , 1884 .
  • O. M. Alifanov , Application of the Regularization Principle to the Formulation of Approximate Solution of Inverse Heat Conduction Problem , J. Eng. Phys ., vol. 23 , no. 6 , pp. 1566 – 1571 , 1972 .
  • H. W. Engl , Discrepancy Principle forTikhonov Regularization of Ill-Posed Problems Leading to Optimal Convergence Rates , J. Optimizai. Theory Applica ., vol. 52 , no. 2 , pp. 209 – 215 , 1987 .
  • International Mathematical and Statistical Library Edition 10.0 , User's Manual, Math/Library Version 1.0 , IMSL , Houston , Tex. , 1987 .

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.