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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 32, 1997 - Issue 4
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Original Articles

AN OPTIMAL SOLUTION TO INVERSE HEAT CONDUCTION PROBLEMS BASED ON FREQUENCY-DOMAIN INTERPRETATION AND OBSERVERS

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Pages 453-478 | Received 14 Feb 1997, Accepted 15 Jul 1997, Published online: 23 Mar 2007

References

  • M. Raynaud and J. Beck , Methodology for Comparison of Inverse Heat Conduction Methods , ASME J. Heat Transfer , vol. 110 , pp. 30 – 37 , 1988 .
  • J. Blum , R. Hohl , W. Marquardt , and H. Auracher , Controlled Transient Pool Boiling Experiments—Methodology and Results , in D. Gorenflo, D. Kenning, and Ch. Marvillet (eds.), Proc. Eurotherm Seminar No. 48, Pool Boiling 2 , pp. 301 – 310 , Paderborn , Germany , 1996 .
  • J. Beck , B. Blackwell ,C. St. Clair, Inverse Heat Conduction. Ill-Posed Problems , John Wiley , New York , 1985 .
  • Y. Kudryavtsev , Unsteady State Heat Transfer , pp. 36 – 39 , Iliffe , London , 1966 .
  • M. Raynaud and J. Bransier , A New Finite-Difference Method for the Nonlinear Inverse Heat Conduction Problem , Numer. Heat Transfer , vol. 9 , pp. 27 – 42 , 1986 .
  • O. M. Alifanov , Inverse Heat Transfer Problems , pp. 200 – 203 , Springer-Verlag , Berlin , 1994 .
  • F. Scarpa and G. Milano , Kalman Smoothing Technique Applied to the Inverse Heat Conduction Problem , Numer. Heat Transfer, Part B , vol. 28 , pp. 79 – 96 , 1995 .
  • W. Marquardt and H. Auracher , An Observer-Based Solution of Inverse Heat Conduction Problems , Int. J. Heat Mass Transfer , vol. 33 , pp. 1545 – 1562 , 1990 .
  • J. Blum and W. Marquardt , Model Based Measurement Evaluation in Transient Heat Transfer Experiments—A Comparative Study , in G. Celata, P. Di Marco, and A. Mariani (eds.), Proc. 2nd European Thermal JScience and 14th (JIT Natl Heat Transfer Conf. , vol. 2 , pp. 1147 – 1154 , Rome , May 1996 .
  • J. V. Beck , B. Blackwell , and A. Haji-Sheikh , Comparison of Some Inverse Heat Conduction Methods Using Experimental Data , Int. J. Heat Mass Transfer , vol. 39 , pp. 3649 – 3657 , 1996 .
  • E. Gilles , Systeme mit uerteilten Parametem. Einführung in die Regelungstheorie , Olden-bourg , Munich , 1973 .
  • A. Oppenheim and R. Schafer , Discrete-Time Signal Processing . Prentice-Hall , Engle-wood Cliffs , NJ , 1989 .
  • A. Quarteroni and A. Valli , Numerical Approximation of Partial Differential Equations , Springer Series in Computational Mathematics , vol. 23 , Springer-Verlag , Berlin , 1994 .
  • H. Rosenbrock , State-Space and Multivariable Theory , Nelson , London , 1970 .
  • D. Luenberger , An Introduction to Observers , IEEE Trans. Automat. Contr. , vol. 16 , pp. 596 – 602 , 1971 .
  • M. Zeitz , Nichtlineare Beohachter, Regelungstechnikrt , vol. 27 , pp. 241 – 272 , 1979 .
  • T. Krauss , L. Shure , and J. Little , MATLAB Signal Processing Toolbox , The Math-Works, Inc. , Natick , MA , 1992 .
  • S. Wolfram , Mathematka, 2nd ed. , Addison-Wesley , Reading , MA , 1991 .
  • E. Bayo , H. Moulin , O. Crisalle , and G. Gimenez , Well-Conditioned Numerical Approach for the Solution of the Inverse Heat Conduction Problem , Numer. Heat Transfer, Part B , vol. 21 , pp. 79 – 98 , 1992 .

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