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On the Recovery of Surface Temperature and Heat Flux via Convolutions

  • B. A. Mair
Part of the Progress in Systems and Control Theory book series (PSCT, volume 1)

Abstract

The determination of the surface temperature and heat flux of a body by means of interior temperature measurements is very important in many areas of science and industry (cf. [1], [8], [9]), and is usually referred to as inverse heat conduction problems (IHCP). Due to their wide applicability, much emphasis has been placed on the numerical solutions of these IHCP. It is stated in [1] that few exact (or, analytic) solutions have been found, and that the known exact soluti ons usually have quite restrictive assumptions imposed on the boundary data (such as infinite differentiability).

Keywords

Heat Flux Boundary Data Noisy Data Tikhonov Regularization Inversion Scheme 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Birkhäuser Boston 1989

Authors and Affiliations

  • B. A. Mair
    • 1
  1. 1.Department of MathematicsTexas Tech UniversityLubbockUSA

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