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. 

References

Publications referenced by this paper.
Showing 1-10 of 17 references

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
J. Computational and Applied Mathematics, 223, 198-217 • 2009

D

R. Bartlett, M. Heinkenschloss
Ridzal and B. Van Bloemen Waanders, Domain decomposition methods for advection dominated linear-quadratic elliptic optimal control problems, Technical Report SAND 2005-2895, Sandia National Laboratories • 2005

Analysis of the streamline upwind/Petrov Galerkin method applied to the solution of optimal control problems

S. Scott Collis, M. Heinkenschloss
CAAM TR02-01, March • 2002

Optimal Control of Distributed Systems

A. V. Fursikov
Theory and Applications, American Mathematical Society Providence, Rhode Island • 2000

Similar Papers

Loading similar papers…