Discontinuous Galerkin Finite Element Method with Interior Penalties for Convection Diffusion Optimal Control Problem

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Abstract

In this paper, a discontinuous Galerkin finite element method with interior penalties for convection-diffusion optimal control problem is studied. A semi-discrete time DG scheme for this problem is presented. We analyze the stability of this scheme, and derive a priori and a posteriori error estimates for both the state and the control approximation.

Keywords:

Discontinuous Galerkin method convection-diffusion equation optimal control problem a priori error estimates a posteriori error estimates.
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