Article ID: | iaor20112765 |
Volume: | 235 |
Issue: | 10 |
Start Page Number: | 3163 |
End Page Number: | 3177 |
Publication Date: | Mar 2011 |
Journal: | Journal of Computational and Applied Mathematics |
Authors: | Li Yuan, Xiong Chunguang |
Keywords: | optimization, programming: nonlinear |
In the current paper, we study the convergence properties of the DGFE approximation of optimal control problem governed by convection–diffusion equations. We derive a posteriori error estimates and a priori error estimates for both the states, ad‐joint and the control variable approximation. For the optimal control problem, these estimates are apparently not available in the literature.