Finite Element Methods for Optimal Control Problems Governed by Linear Quasi-Parabolic Integro-Differential Equations

Abstract

In this paper, the mathematical formulation for a quadratic optimal control problem governed by a linear quasi-parabolic integro-differential equation is studied, the optimality conditions are derived, and then the a priori error estimate for its finite element approximation is given. Furthermore, some numerical tests are performed to verify the theoretical results.