UNIV. NEWS. NORTH-CAUCAS. REG. TECHNICAL SCIENCES SERIES. 2016; 3: 46-50
http://dx.doi.org/10.17213/0321-2653-2016-3-46-50
SOLUTION OF BOUNDARY INVERSE HEAT CONDUCTION PROBLEMS BASED ON THE OPTIMIZATION METHODS
Diligensky Anna Nikolaevna – Candidate of Technical Sciences, assistant professor, department «Automation and Control in Technical Systems»,
Abstract
In this paper a boundary heat conduction problem has been formulated as an optimal control problem of an object with distributed parameters, where the heat flux density is used as a control action. It is actually to minimize the discrepancy between assigned temperature and the exact solution. The set of control actions is limited to the class of polynomial functions. The parameterisation of control actions reduces the problem to a problem of mathematical programming. To solve this problem the special optimization method based on the alternance properties of the sought optimal solutions is applied.
Keywords: boundary inverse heat conduction problem; parametric optimization; an alternance method; uniform approximation
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