Title data
Schiela, Anton ; Günther, Andreas:
An interior point algorithm with inexact step computation in function space for state constrained optimal control.
In: Numerische Mathematik.
Vol. 119
(2011)
Issue 2
.
 pp. 373407.
ISSN 0029599X
DOI: https://doi.org/10.1007/s0021101103814
Project information
Project title: 
Project's official title  Project's id 

DFG Research Center Matheon "Mathematics for key technologies"  FZT 86 

Project financing: 
Deutsche Forschungsgemeinschaft

Abstract in another language
We consider an interior point method in function space for PDE constrained optimal control problems with state constraints. Our emphasis is on the construction and analysis of an algorithm that integrates a Newton pathfollowing method with adaptive grid refinement. This is done in the framework of inexact Newton methods in function space, where the discretization error of each Newton step is controlled by adaptive grid refinement in the innermost loop. This allows to perform most of the required Newton steps on coarse grids, such that the overall computational time is dominated by the last few steps. For this purpose we propose an aposteriori error
estimator for a problem suited norm.
Further data