TY - JOUR
T1 - The Local Discontinuous Galerkin Method for Optimal Control Problem Governed by Convection Diffusion Equations
AU - Z. Zhou & N. Yan
JO - International Journal of Numerical Analysis and Modeling
VL - 4
SP - 681
EP - 699
PY - 2010
DA - 2010/07
SN - 7
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/746.html
KW - Local Discontinuous Galerkin method, unsteady convection diffusion equations, constrained optimal control problem, a priori error estimate.
AB - <p style="text-align: justify;">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.</p>