Abstract

This research work considers the optimal state and control of the two-dimensional wave equation with energy efficiency using the Finite Element Technique (FET). The findings in the one-dimensional case hold. In addition, the two and three element discretization depict only positive states with negative controls. Other levels of discretization were also considered.

Keywords

Finite Element Technique, Wave Equation, Optimal Control, Optimal State, Element Characteristic Matrix, Differential Equation.