Optimization with Partial Differential Equations (OptPDE)10 ECTS
(englische Bezeichnung: Optimization with Partial Differential Equations)
(Prüfungsordnungsmodul: Wahlmodul Mathematik)

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:

• System and control theory for partial differential equations

• Optimization theory in Banach and Hilbert spaces

• Optimality conditions for problems with control and state constraints

• Sensitivity analysis, singular pertubations and asymptotics

• Optimization methods in Banach spaces

• Technical, medical and economic applications

Lernziele und Kompetenzen:

Students

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

• apply these abilities to technical and economic applications.

Literatur:

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

• M. Hinze et al.: Optimization with PDE constrains, Springer

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

Organisatorisches:

This is the CAM module 33b for the complete course.

Verwendbarkeit des Moduls / Einpassung in den Musterstudienplan:

1. Computational and Applied Mathematics (Master of Science)
   (Po-Vers. 2017w | NatFak | Computational and Applied Mathematics (Master of Science) | Elective modules (as selected from FAU-modules) | Wahlmodul Mathematik)

Studien-/Prüfungsleistungen:

Mündliche Prüfung: Wahlmodul Mathematik (Prüfungsnummer: 59461)

Untertitel: Optimization with Partial Differential Equations

(englischer Untertitel: Optimization with Partial Differential Equations)

Prüfungsleistung, mündliche Prüfung, Dauer (in Minuten): 20, benotet, 10.0 ECTS

Anteil an der Berechnung der Modulnote: 100.0 %

Prüfungssprache: Englisch

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

1. Prüfer:

Falk Hante