A priori and a posteriori error analysis of edge stabilization Galerkin method for the optimal control problem governed by convection-dominated diffusion equation

摘要

In this paper, we study an edge-stabilization Galerkin approximation sheme for the constrained optimal-control problem governed by convection-dominated diffusion equation. The method uses least-square stabilization of the gradient jumps across element edges. A priori and a posteriori error estimates are derived for both the state co-state and the control. The theoretical results are illustrated by two numerical experiment. (C) Elsevier B.V. All rights reserved.