This chapter presents a stochastic modeling and statistical inference approach to the solution of inverse problems in thermal transport systems. Of particular interest is the inverse heat conduction problem (IHCP) of estimating an unknown boundary heat flux in a conducting solid given temperature data within the domain. Even though deterministic sequential and whole time domain estimation methods have been applied with success over the years for the solution of such problems, we herein… CONTINUE READING

Inverse heat conduction: Ill-posed problems, Wiley, New York • 1985

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Highly Influenced

Computational and Statistical Methods for Inverse Problems

J. P. Kaipio, E. Somersalo

Springer Verlag, Berlin • 2004

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Inverse Boundary Design Conduction-Radiation Problem in Irregular Two-dimensional Domains

S.M.H. Sarvari, J. R. Howell, S. H. Mansouri

Numerical Heat Transfer Part B - Fundamentals, vol. 44, pp.209-224 • 2003

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An Applied Mathematician’s Prospective on Regularization Methods

C. Vogel

lecture in opening workshop for Inverse problem, methodology in complex stochastic models, session of parameter estimation and inverse problems statistics Perspective, Statistical and Applied Mathematical Sciences Institute at Duke University • 2002