Abstract
We present a hybrid method for numerical identification of thermal conductivity of a solid, based on the Cauchy data comprising temperature and thermal flux on a part of the surface of the solid. The alternate direction algorithm proposed by Kohn and Vogelius (1987) for impedance computed tomography with prescribed Dirichlet-Neumann map is combined with a boundary value identification algorithm with assumed conductivity to yield a new hybrid method. A single set of Cauchy data is used. A variational approach is applied to this inverse problem, which makes the problem into a series of direct boundary value problems of the quasi-harmonic equation. A simple numerical example suggests that the hybrid method is convergent to a local minimum and the numerical process does not suffer from the illposedness of the original problem.
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