The Library
A priori error estimates for optimal control problems with pointwise constraints on the gradient of the state
Tools
Tools
Tools
Ortner, Christoph and Wollner, W.. (2011) A priori error estimates for optimal control problems with pointwise constraints on the gradient of the state. Numerische Mathematik, Vol.118 (No.3). pp. 587-600. ISSN 0029-599X
Full text not available from this repository.
Official URL: http://dx.doi.org/10.1007/s00211-011-0360-9
Abstract
We analyze a finite element approximation of an elliptic optimal control problem with pointwise bounds on the gradient of the state variable. We derive convergence rates if the control space is discretized implicitly by the state equation. In contrast to prior work we obtain these results directly from classical results for the W 1,∞-error of the finite element projection, without using adjoint information. If the control space is discretized directly, we first prove a regularity result for the optimal control to control the approximation error, based on which we then obtain analogous convergence rates.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Numerische Mathematik |
| Publisher: | Springer |
| ISSN: | 0029-599X |
| Date: | July 2011 |
| Volume: | Vol.118 |
| Number: | No.3 |
| Page Range: | pp. 587-600 |
| Identification Number: | 10.1007/s00211-011-0360-9 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| URI: | http://wrap.warwick.ac.uk/id/eprint/43914 |
Actions (login required)
 |
View Item |
