The Local Discontinuous Galerkin Method for Optimal Control Problem Governed by Convection Diffusion Equations
Year: 2010
International Journal of Numerical Analysis and Modeling, Vol. 7 (2010), Iss. 4 : pp. 681–699
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2010-IJNAM-746
International Journal of Numerical Analysis and Modeling, Vol. 7 (2010), Iss. 4 : pp. 681–699
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Local Discontinuous Galerkin method unsteady convection diffusion equations constrained optimal control problem a priori error estimate.