FUNCTIONAL IDENTIFICATION OF THE NONLINEAR THERMAL-CONDUCTIVITY COEFFICIENT BY GRADIENT METHODS. I. CONJUGATE OPERATORS
V. T. Borukhova and V. I. Timoshpol'skiib UDC 536.2 Consideration is given to the gradient methods of solution of the inverse heat-conduction problem on determination of the nonlinear coefficient (T) without its preliminary finite-dimensional approximation. a Institute of Mathematics, National Academy of Sciences of Belarus, 11 Surganov Str., Minsk, 220072, Belarus; b A. V. Luikov Heat and Mass Transfer Institute, National Academy of Sciences of Belarus, Minsk, Belarus. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 78, No. 4, pp. 68-74, July-August, 2005. Original article submitted February 2, 2005..