Details

Autor(en) / Beteiligte

• Beermann, Dennis
• Dellnitz, Michael
• Peitz, Sebastian
• Volkwein, Stefan

Titel

POD‐based multiobjective optimal control of PDEs with non‐smooth objectives

Ist Teil von

• Proceedings in applied mathematics and mechanics, 2017-12, Vol.17 (1), p.51-54

Ort / Verlag

Berlin: WILEY‐VCH Verlag

Erscheinungsjahr

2017

Link zum Volltext

Quelle

Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals

Beschreibungen/Notizen

• A framework for set‐oriented multiobjective optimal control of partial differential equations using reduced order modeling has recently been developed [1]. Following concepts from localized reduced bases methods, error estimators for the reduced cost functionals are utilized to construct a library of locally valid reduced order models. This way, a superset of the Pareto set can efficiently be computed while maintaining a prescribed error bound. In this article, this algorithm is applied to a problem with non‐smooth objective functionals. Using an academic example, we show that the extension to non‐smooth problems can be realized in a straightforward manner. We then discuss the implications on the numerical results. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)