Int. J. Numer. Anal. Mod., 7 (2010), pp. 681-699.


The local discontinuous Galerkin method for optimal control problem governed by convection diffusion equations

Z. Zhou 1, N. Yan 2

1 College of Mathematical Sciences, Shandong Normal University, Ji'nan, 250014, China.
2 LSEC, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Science, Beijing, 100190, China.

Received by the editors January 16, 2009 and, in revised form, October 22, 2009.
Abstract

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.

AMS subject classifications: 65N30
Key words: Local Discontinuous Galerkin method, unsteady convection diffusion equations, constrained optimal control problem, a priori error estimate.
Email: zzj534@amss.ac.cn, ynn@amss.ac.cn
 

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