Optimal Control in Electrical Heating Processes

It is suggested an effective numerical and analytical method (NAM) for solving complicated nonlinear multidimensial boundary-value problem of optimal control at interaction of electromagnetic field and heat one. NAM is applied for solution parabolic heat equation and also for electromagnetic field (elliptical equation). The idea of method is based on approximation nonlinear solution by eigen-function of specially constructed simple linear operator with using smooth properties of inverce one for boundary value problem. The direct methods in space of control are used for solution optimal problem with help of homotopy chain, approximation, forecast and random search. Work was supported by RFBR Grant №09-01-90425,08-01-90101.

nonlinear multidimensial boundary-value problem, Maxwell equation, numerical and analytical method, optimal control, parabolic heat equation