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Solving Optimal Control Problems with the Kaskade 7 Finite Element Toolbox

Title data

Götschel, Sebastian ; Weiser, Martin ; Schiela, Anton:
Solving Optimal Control Problems with the Kaskade 7 Finite Element Toolbox.
In: Dedner, Andreas ; Flemisch, Bernd ; Klöfkorn, Robert (Hrsg.): Advances in DUNE : Proceedings of the DUNE User Meeting, Held in October 6th–8th 2010 in Stuttgart, Germany. - Berlin, Heidelberg : Springer , 2012 . - pp. 101-112
ISBN 978-3-642-28588-2
DOI: https://doi.org/10.1007/978-3-642-28589-9_8

Project information

Project title:
Project's official titleProject's id
DFG Research Center Matheon "Mathematics for key technologies", Project A1FZT 86
DFG Research Center Matheon "Mathematics for key technologies", Project A17FZT 86
DFG Research Center Matheon "Mathematics for key technologies", Project F9FZT 86

Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

This paper presents concepts and implementation of the finite element toolbox Kaskade 7, a flexible C++ code for solving elliptic and parabolic PDE systems, based on the Dune libraries. Issues such as problem formulation, assembly and adaptivity are discussed at the example of optimal control problems. Trajectory compression for parabolic optimization problems is considered as a case study.

Further data

Item Type: Article in a book
Refereed: Yes
Additional notes: A preliminary version is published at the Konrad-Zuse-Zentrum für Informationstechnik, Berlin as ZIB-Report 10-25.
Keywords: partial differential equations; optimal control; finite elements; generic programming; adaptive methods
Subject classification: Mathematics Subject Classification Code: 65N30 (65M60 65K10 65Y99 68U20)
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 09:19
Last Modified: 19 Mar 2015 09:19
URI: https://eref.uni-bayreuth.de/id/eprint/8532