Optimization with Partial Differential Equations (OptPDE)5 ECTS
(englische Bezeichnung: Optimization with Partial Differential Equations)
(Prüfungsordnungsmodul: Optimization with partial differential equations (advanced))

Lectures:

• • Optimization with Partial Differential Equations
    (Vorlesung, 2 SWS, Günter Leugering, Thu, 14:00 - 16:00, 02.152-113)
  • Tutorial to Optimization with Partial Differential Equations
    (Übung, 0,5 SWS, Günter Leugering, Mon, 16:00 - 18:00, 04.363, (außer Mon 20.1.2020); single appointment on 20.1.2020, 16:00 - 18:00, 0.68)

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:

1. Computational and Applied Mathematics (Master of Science)
   (Po-Vers. 2019w | NatFak | Computational and Applied Mathematics (Master of Science) | Gesamtkonto | Specialisation: Modeling and applied analysis (MApA) and optimization (Opti) | Optimization with partial differential equations (advanced))
2. Computational and Applied Mathematics (Master of Science)
   (Po-Vers. 2019w | NatFak | Computational and Applied Mathematics (Master of Science) | Gesamtkonto | Specialisation: Numerical analysis and simulation (NASi) and optimization (Opti) | Optimization with partial differential equations (advanced))
3. Computational and Applied Mathematics (Master of Science)
   (Po-Vers. 2019w | NatFak | Computational and Applied Mathematics (Master of Science) | Gesamtkonto | Non-Specialisation modules | Optimization with partial differential equations (advanced))

Studien-/Prüfungsleistungen:

Optimization with partial differential equations (Prüfungsnummer: 59211)

(englischer Titel: Optimization with partial differential equations)

Prüfungsleistung, mündliche Prüfung, Dauer (in Minuten): 20, benotet, 5 ECTS

Anteil an der Berechnung der Modulnote: 100.0 %

Erstablegung: WS 2019/2020, 1. Wdh.: WS 2019/2020

1. Prüfer:

Günter Leugering