IDENTIFICATION OF THE THERMAL CONDUCTIVITY COEFFICIENT FOR QUASI-STATIONARY TWO-DIMENSIONAL HEAT CONDUCTION EQUATIONS

The problem of identifying the time-dependent thermal conductivity coeffi cient in the initial–boundary-value problem for the quasi-stationary two-dimensional heat conduction equation in a bounded cylinder is considered. It is assumed that the temperature fi eld in the cylinder is independent of the angular coordinate. To solve the given problem, which is related to a class of inverse problems, a mathematical approach based on the method of conjugate gradients in a functional form is being developed.
   
Author:  Yu. M. Matsevityi, S. V. Alekhina, V. T. Borukhov, G. M. Zayats, and A. O. Kostikov
Keywords:  inverse heat conduction problem, quasi-stationary heat conduction equation, thermal conductivity coeffi cient, method of conjugate gradients, functional identifi cation
Page:  1295