@Article{JCM-27-2-3, author = {}, 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 = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/2009-JCM-8570}, url = {https://global-sci.com/article/84859/variational-discretization-for-optimal-control-governed-by-convection-dominated-diffusion-equations} }