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Convergence of the Control Reduced Interior Point Method for PDE Constrained Optimal Control with State Constraints

Title data

Schiela, Anton:
Convergence of the Control Reduced Interior Point Method for PDE Constrained Optimal Control with State Constraints.
Konrad-Zuse-Zentrum für Informationstechnik Berlin
Berlin, Germany , 2006 . - (ZIB-Report ; 06-16 )

Official URL: Volltext

Project information

Project title:
Project's official titleProject's id
DFG Research Center Matheon "Mathematics for key technologies"FZT 86

Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

We propose a variant of the control reduced interior point method for the solution of state constrained problems. We show convergence of the corresponding interior point pathfollowing algorithm in function space. Morever, we provide error bounds for the iterates.

Further data

Item Type: Working paper, discussion paper
Keywords: interior point methods in function space; optimal control; state constraints
Subject classification: Mathematics Subject Classification Code: 49M15 (90C51)
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics (Applied Mathematics) > Chair Applied Mathematics (Applied Mathematics) - Univ.-Prof. Dr. Anton Schiela
Profile Fields > Advanced Fields > Nonlinear Dynamics
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics (Applied Mathematics)
Profile Fields
Profile Fields > Advanced Fields
Result of work at the UBT: No
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 17 Mar 2015 10:17
Last Modified: 04 Apr 2019 05:40
URI: https://eref.uni-bayreuth.de/id/eprint/8112