Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4641701 | Journal of Computational and Applied Mathematics | 2009 | 20 Pages |
Abstract
In this paper, we study an edge-stabilization Galerkin approximation scheme 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 experiments.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Ningning Yan, Zhaojie Zhou,