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.Translated from Matematicheskoe Modelirovanie i Reshenie Obratnykh Zadach. Matematicheskoi Fiziki, pp. 160–171, 1993. |