Paper Title
Adaptive Solutions of Optimal Control Problems of Helmholtz Equation Applied to Microwave Heating

In this work, we study adaptive solutions of optimal control problem of Helmholtz equation coupled with heat equation. As an application, microwave heating problem is considered. Helmholtz equation is coupled with a heat equation. At first, the necessary optimality conditions are obtained. Finite element method is used to discretize the state and the adj oint state equations.. Numerical results are presented. Keywords - Helmholtz Equation, Optimal Control, Finite Element, Microwave Heating, Adaptive solutions.