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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
: Springer
,
2012
. - S. 101-112
ISBN 978-3-642-28588-2
DOI: https://doi.org/10.1007/978-3-642-28589-9_8
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Angaben zu Projekten
| Projekttitel: |
Offizieller Projekttitel Projekt-ID FZT 86: Matheon - Mathematik für Schlüsseltechnologien: Modellierung, Simulation und Optimierung realer Prozesse 5485610 |
|---|---|
| Projektfinanzierung: |
Deutsche Forschungsgemeinschaft |
Abstract
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.