A priori error estimates for optimal control problems with pointwise constraints on the gradient of the state |
| |
Authors: | C Ortner W Wollner |
| |
Institution: | 1.Mathematical Institute,University of Oxford,Oxford,UK;2.Institut für Angewandte Mathematik,Ruprecht-Karls-Universit?t Heidelberg,Heidelberg,Germany |
| |
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. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|