Paper Title
Numerical Solutions Of Optimal Control Problems For Microwave Heating

Abstract
In this work, we study numerical solutions of optimal control problem for a microwave heating. Microwave heating problem is modeled by Helmholtz equation coupled with a heat equation. At first, the necessary optimality conditions are obtained. Finite element method is used to discretize the state and the adjoint state equations. It is the first time that optimal control for the microwave heating is solved numerically. Numerical application is presented. Keywords- Optimal Control, Helmholtz Equation, Finite Element, Microwave Heating.