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Kim, S. November 19, Heat Transfer. December ; 6 : — A solution scheme based on the maximum entropy method MEM for the solution of two-dimensional inverse heat conduction problems is established. MEM finds the solution which maximizes the entropy functional under the given temperature measurements. The proposed method converts the inverse problem to a nonlinear constrained optimization problem. The constraint of the optimization problem is the statistical consistency between the measured temperature and the estimated temperature.

Successive quadratic programming SQP facilitates the numerical estimation of the maximum entropy solution. The characteristic feature of the proposed method is investigated with the sample numerical results. The presented results show considerable enhancement in resolution for stringent cases in comparison with a conventional method.

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Andrieux, T. Baranger and A. Ben Abda, Solving Cauchy problems by minimizing an energy-like functional, Inverse Problems 22 , no. Bastay, V.

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Kozlov and B. Turesson, Iterative methods for an inverse heat conduction problem, J. Inverse Ill-Posed Probl. Babenko, R. Chapko and B. Chen, S. Lin and L.

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Theory Appl. Fenga and D. Guenther and J. Hansen and D. Hon and T. The investigations also reveal how the smoothing of measurement data affects calculation results.

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Opis fizyczny. Beck J. Duda P. Grysa K. Herrera I. Fundamentals and Method, Thome J.

Liquid crystal experiments and numerical investigations, International Journal of Thermal Sciences, 48, Kincaid D. Kompis V.