@Article{JCM-27-237,
author = {Michael Hinze, Ningning Yan and Zhaojie Zhou},
title = {Variational Discretization for Optimal Control Governed by Convection Dominated Diffusion Equations},
journal = {Journal of Computational Mathematics},
year = {2009},
volume = {27},
number = {2-3},
pages = {237--253},
abstract = {<p style="text-align: justify;">In this paper, we study variational discretization for the constrained optimal control
problem governed by convection dominated diffusion equations, where the state equation
is approximated by the edge stabilization Galerkin method. A priori error estimates are
derived for the state, the adjoint state and the control. Moreover, residual type a posteriori
error estimates in the $L^2$-norm are obtained. Finally, two numerical experiments are
presented to illustrate the theoretical results.</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/8570.html}
}