Optimization with Partial Differential Equations (OptPDE)5 ECTS
(englische Bezeichnung: Optimization with Partial Differential Equations)

Lehrveranstaltungen:

• • Optimization with Partial Differential Equations
    (Vorlesung, 4 SWS, Falk Hante, Mo, 12:00 - 14:00, Übung 4 / 01.253-128; Mi, 8:00 - 10:00, 04.363)

Empfohlene Voraussetzungen:

Basic knowledge in numerics, partial differential equations and nonlinear optimization is recommended.

Inhalt:

Several of the following topics:

• Optimization and control in Banach spaces

• Concepts of controllability and stabilization

• Optimal control of Partial differential equations

• Singular Perturbations and asymptotic analysis

• Numerical realizations of optimal controls

• Technical, medical and economic applications

Lernziele und Kompetenzen:

Students

• explain and use theory as well as numerical methods for optimization, control and stabilization in the context of partial differential equations,

• apply these abilities to technical and economic applications.

Literatur:

• F, Tröltzsch: Optimal Control of Partial Differential Equations, AMS

• G. Leugering & P. Kogut: Optimal Control of PDEs in Reticulated Domains, Birkhäuser

Bemerkung:

This is the CAM module 33a for lectures and tutorials until June 8.

Verwendbarkeit des Moduls / Einpassung in den Musterstudienplan:
Das Modul ist im Kontext der folgenden Studienfächer/Vertiefungsrichtungen verwendbar:

1. Computational and Applied Mathematics (Master of Science)
   (Po-Vers. 2017w | NatFak | Computational and Applied Mathematics (Master of Science) | Specialisation: Modeling and applied analysis (MApA) and optimization (Opti) | Optimization with partial differential equations)
2. Computational and Applied Mathematics (Master of Science)
   (Po-Vers. 2017w | NatFak | Computational and Applied Mathematics (Master of Science) | Specialisation: Numerical analysis and simulation (NASi) and optimization (Opti) | Optimization with partial differential equations)
3. Mathematik (Master of Science)
   (Po-Vers. 2014w | NatFak | Mathematik (Master of Science) | Gesamtkonto | Mathematische Wahlmodule)
4. Wirtschaftsmathematik (Master of Science)
   (Po-Vers. 2014w | NatFak | Wirtschaftsmathematik (Master of Science) | Gesamtkonto | Mathematische Wahlmodule)

Studien-/Prüfungsleistungen:

Optimization with partial differential equations (Prüfungsnummer: 59211)

(englischer Titel: Optimization with partial differential equations)

Prüfungsleistung, mündliche Prüfung, Dauer (in Minuten): 15, benotet, 5.0 ECTS

Anteil an der Berechnung der Modulnote: 100.0 %

Prüfungssprache: Englisch

Erstablegung: SS 2019, 1. Wdh.: SS 2019

1. Prüfer:

Falk Hante