bei Google ScholarTitelangaben
Hinze, Michael ; Schiela, Anton:
Discretization of interior point methods for state constrained elliptic optimal control problems : optimal error estimates and parameter adjustment.
In: Computational Optimization and Applications.
Bd. 48
(2011)
Heft 3
.
- S. 581-600.
ISSN 0926-6003
DOI: https://doi.org/10.1007/s10589-009-9278-x
| Rez.: |
Angaben zu Projekten
| Projekttitel: |
Offizieller Projekttitel Projekt-ID DFG Research Center Matheon "Mathematics for key technologies" FZT 86 |
|---|---|
| Projektfinanzierung: |
Deutsche Forschungsgemeinschaft |
Abstract
An adjustment scheme for the relaxation parameter of interior point approaches to the numerical solution of pointwise state constrained elliptic optimal control problems is introduced. The method is based on error estimates of an associated finite element discretization of the relaxed problems and optimally selects the relaxation parameter in dependence on the mesh size of discretization. The finite element analysis for the relaxed problems is carried out and a numerical example is presented which confirms our analytical findings.