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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 16, 1989 - Issue 2
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Original Articles

INVERSE HEAT CONDUCTION PROBLEM OF SIMULTANEOUSLY ESTIMATING SPATIALLY VARYING THERMAL CONDUCTIVITY AND HEAT CAPACITY PER UNIT VOLUME

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Pages 249-266 | Received 06 Sep 1988, Accepted 14 Mar 1989, Published online: 27 Apr 2007

REFERENCES

  • Y. S. Touloukian , R. W. Powell , C. Y. Ho , and M. C. Nicolaou , Thermophysical Properties of Matter , vol. 10 , pp. 22a – 27a , IFI/Plenum , New York , 1973 .
  • M. Ciampi , W. Grassi , and G. Tuoni , The Flash Method and the Measure of the Thermal Diffusivity of Nonhomogeneous Samples , Termotecnica , vol. 37 , pp. 43 – 48 , 1983 .
  • L. Carotenuto , G. Raiconi , and G. Di Pillo , On the Identification of a Variable Coefficient in the Diffusion Equation , in N. S. Rajman (ed.) , Identification and System Parameter Estima-tion , part 3, Proc. Fourth IFAC Symposium , Tbilisi , 1976 , pp. 1539 – 1556 , North-Holland , Amsterdam , 1978 .
  • C. S. Kubrusly and R. F. Curtain , Identification of Noisy Distributed Parameter Systems Using Stochastic Approximation , Int. J. Contr , vol. 25 , pp. 441 – 455 , 1977 .
  • C. C. Travis and L. W. White , Parameter Identification of Distributed Parameter Systems , Math. Biosci. , vol. 77 , pp. 341 – 352 , 1985 .
  • L. Carotenuto and G. Raiconi , Identifiability and Identification of a Galerkin Approximation for a Class of Distributed Parameter Systems , Int. J. Sys. Set. , vol. 11 , pp. 1035 – 1049 , 1980 .
  • J. Q. Liu and Y. M. Chen , An Iterative Algorithm for Solving Inverse Problems of Two-Dimensional Diffusion Equations , SIAM J. Sci. Stat. Comput. , vol. 5 , pp. 255 – 269 , 1984 .
  • Y. M. Chen and J. Q. Liu , A Numerical Algorithm for Remote Sensing of Thermal Conduc-tivity , J. Comput. Phys. , vol. 43 , pp. 315 – 326 , 1981 .
  • H. W. Alt , K.-H. Hoffmann , and J. Sprekels , A Numerical Procedure to Solve Certain Identification Problems , Optimal Control of Partial Differential Equations , vol. 68 , pp. 11 – 43 , Birkhauser Verlag , Basel , 1983 .
  • C. Kravaris and J. H. Seinfeld , Identification of Parameters in Distributed Parameter Systems by Regularization , SIAMJ. Control Optimiz. , vol. 23 , pp. 217 – 241 , 1985 .
  • X. Y. Liu and Y. M. Chen , A Generalized Pulse-Spectrum Technique (GPST) for Determining Time-Dependent Coefficients of One-Dimensional Diffusion Equations , SIAM J. Sci. Stat. Comput. , vol. 8 , pp. 436 – 445 , 1987 .
  • S. Kitamura and S. Nakagiri , Identifiability of Spatially-Varying and Constant Parameters in Distributed Systems of Parabolic Type , SIAM J. Contr. Optimiz. , vol. 15 , pp. 785 – 802 , 1977 .
  • W. H. Chen and J. H. Seinfeld , Estimation of Spatially Varying Parameters in Partial Differ-ential Equations , Int. J. Contr. , vol. 15 , pp. 487 – 495 , 1972 .
  • J. H. Seinfeld and W. H. Chen , Identification of Petroleum Reservoir Properties , in W. H. Ray and D. G. Lainiotis (eds.) , Distributed Parameter Systems. Identification, Estimation, and Control , pp. 497 – 554 , Marcel Dekker , New York , 1978 .
  • A. T. Watson , G. R. Gavalas , and J. H. Seinfeld , Identifiability of Estimates of Two-Phase Reservoir Properties in History Matching , Soc. Petrol. Eng. J. , vol. 24 , pp. 697 – 706 , 1984 .
  • A. Pierce , Wave Methods for an Inverse Problem in Diffusion , Inverse Probl. , vol. 2 , pp. 205 – 217 , 1986 .
  • W. W.-G. Yeh , Review of Parameter Identification Procedures in Groundwater Hydrology The Inverse Problem , Water Resour. Res. , vol. 22 , pp. 95 – 108 , 1986 .
  • W. H. Ray , Some Recent Applications of Distributed Parameter Systems Theory-A Survey , Automatica , vol. 14 , pp. 281 – 287 , 1978 .
  • C. S. Kubrusly , Distributed Parameter System Identification-A Survey , Int. J. Contr. , vol. 26 , pp. 509 – 535 , 1977 .
  • S. G. Tzafestas and P. Stavroulakis , Recent Advances in the Study of Distributed Parameter Systems , J. Franklin Inst. , vol. 315 , pp. 285 – 305 , 1983 .
  • R. E. Goodson and M. P. Polis , Identification of Parameters in Distributed Systems , in W. H. Ray and D. G. Lainiotis (eds.) , Distributed Parameter Systems. Identification, Estimation, and Control , pp. 47 – 133 , Marcel Dekker , New York , 1978 .
  • N. S. Raibman , V. O. Bogdanov , and D. V. Kneller , Identification of Distributed Parameter Systems , Automat. Remote Contr. , vol. 43 , pp. 703 – 731 , 1982 .
  • R. E. Goodson and M. P. Polis , Parameter Identification in Distributed Systems A Synthe-sizing Overview , in R. E. Goodson and M. Polis (eds.) , Identification of Parameters in Distributed Systems , pp. 1 – 30 , ASME , New York , 1974 .
  • M. D. Mikhailov and M. N. Özişik , Unified Analysis and Solutions of Heat and Mass Diffu-sion , Wiley , New York , 1984 .
  • C. de Boor , A practical guide to splines , Springer-Verlag , New York , 1978 .
  • IMSL Library Edition 10.0 , User's Manual, Math/Library version 1.0 , vol. 3 , chap. 8 , IMSL , Houston , Tx. , 1987 .
  • J. V. Beck , B. Blackwell , andd C. R. St. Clair , Jr. , Inverse Heat Conduction , pp. 140 – 141 , Wiley , New York , 1985 .
  • D. C. Montgomery and E. A. Peck , Introduction to Linear Regression Analysis , chap. 8 , Wiley , New York , 1982 .

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