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Function space interior point methods for PDE constrained optimization

Title data

Weiser, Martin ; Schiela, Anton:
Function space interior point methods for PDE constrained optimization.
In: Proceedings in Applied Mathematics and Mechanics. Vol. 4 (5 November 2004) Issue 1 . - pp. 43-46.
ISSN 1617-7061
DOI: https://doi.org/10.1002/pamm.200410011

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

A primal-dual interior point method for optimal control problems with PDE constraints is considered. The algorithm is directly applied to the infinite dimensional problem. Existence and convergence of the central path are analyzed. Numerical results from an inexact continuation method applied to a model problem are shown.

Further data

Item Type: Article in a journal
Refereed: Yes
Additional notes: A preliminary version is published at the Konrad-Zuse-Zentrum für Informationstechnik, Berlin as ZIB-Report 04-27.
Keywords: interior point methods in function space; optimal control; complementarity functions
Subject classification: Mathematics Subject Classification Code: 49M15 (90C48 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 > Professorship Applied Mathematics (Applied Mathematics) > Professorship 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 > Professorship 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: 19 Mar 2015 09:23
Last Modified: 19 Mar 2015 09:23
URI: https://eref.uni-bayreuth.de/id/eprint/8544