ANALYTICAL METHODS OF PARAMETRIC OPTIMIZATION IN INVERSE HEAT-CONDUCTION PROBLEMS WITH INTERNAL HEAT RELEASE

摘要

Consideration is given to inverse heat-conduction problems on identification of the strength of internal heat sources or the law of their spatial distribution. The problems have been formulated in an extremum statement as problems of optimum control over an object with distributed parameters when the set of control actions is limited to the class of continuous and continuously differentiable functions. On the basis of parametrization of control actions, the problem is reduced to an unsmooth problem of mathematical programming for the solution of which we use a special method taking account of the alternance properties of the sought optimum solutions.