Numerical investigation of optimal control of induction heating processes

We consider optimal control problems arising in induction heating processes. We are mainly concerned with two classes of these processes: uniform heating and metal hardening. The cost functions are chosen according to these classes. The control parameters are the inductor shape (assumed to be thin). the frequency, the current voltage and the heating duration. The induction heating model is a two-dimensional cartesian geometry. The numerical scheme is given as well as numerical experiments for practical applications. (C) 2001 Elsevier Science Inc. All rights reserved.