Abstract
The article considers the inverse problem of heat conduction in a cylindrical geometry, which involves determining the piecewise-constant transport coefficients from experimental temperature measurements made at several internal points of a segment at discrete time instants. It is shown that the form of the discrepancy functional essentially affects the convergence and uniqueness of the approximate solution in the iterative regularization method.
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Additional information
Translated from Matematicheskoe Modelirovanie i Reshenie Obratnykh Zadach. Matematicheskoi Fiziki, pp. 160–171, 1993.
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Andreev, V.F., Popov, A.M. Inverse coefficients of the problem for transport equations of plasma physics. Comput Math Model 6, 16–24 (1995). https://doi.org/10.1007/BF01128152
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DOI: https://doi.org/10.1007/BF01128152