The Local Discontinuous Galerkin Method for Optimal Control Problem Governed by Convection Diffusion Equations

@inproceedings{Zhou2010TheLD,
title={The Local Discontinuous Galerkin Method for Optimal Control Problem Governed by Convection Diffusion Equations},
author={Zhaojie Zhou and Ningning Yan},
year={2010}
}

In this paper we analyze the Local Discontinuous Galerkin (LDG) method for the constrained optimal control problem governed by the unsteady convection diffusion equations. A priori error estimates are obtained for both the state, the adjoint state and the control. For the discretization of the control we discuss two different approaches which have been used for elliptic optimal control problem.

A priori and a posteriori error analysis of edge stabilization Galerkin method for the optimal control problem governed by convection dominated diffusion equation

N. Yan, Z. Zhou

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