论文部分内容阅读
In this paper, we study variational discretization for the constrained optimal control problem goveed 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 L2-norm are obtained. Finally, two numerical experiments are presented to illustrate the theoretical results.