Methods of Sequential Parametric Optimization in Inverse Problems of Technological Thermophysics

A method is proposed for the linear and some nonlinear main inverse heat conduction problems. The method is based on the optimal control theory for objects with distributed parameters. The initial ill-posed inverse problem is reduced to a conditionally well-posed one which solution is maintained from the sought data of the initial problem and belongs to the class of continuous and continuously differentiable functions. Parameterization of the identifiable characteristics leads to the parameter optimization problem, which solution is based on the special alternance method and provides the optimal values of the vector of parameters.