Error analysis for optimal control problem governed by convection diffusion equations: DG method

Abstract: In the current paper, we study the convergence properties of the DGFE approximation of optimal control problem governed by convection–diffusion equations. We derive a posteriori error estimates and a priori error estimates for both the states, ad-joint and the control variable approximation. For the optimal control problem, these estimates are apparently not available in the literature. [Copyright &y& Elsevier]