Optimal control of complex heat transfer

Abstract

The problem of optimal boundary control of nonlinear elliptic systems describing conductive-convective-radiative heat transfer<br/>in a three-dimensional domain is considered. The solvability of the control problem is proved, and the necessary optimality conditions of the first order are obtained. The results of numerical experiments are discussed.

Optimal Control Problem of Complex Heat Transfer for SP₁ Approximation

“…[16][17][18]). In [19][20] the problem of optimal boundary control for a steady-state complex heat transfer model was considered. The problem was formulated as the maximization of the energy outflow from the model domain by controlling reflection properties of the boundary.…”