Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-81-16-K-7

Optimization with PDE (2V, 4.5 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
2 V Lecture 4.5 CP 28 h 107 h
(2V) 4.5 CP 28 h 107 h

Basedata

SWS 2V
CP, Effort 4.5 CP = 135 h
Position of the semester 1 Sem. irreg.
Level [7] Master (Advanced)
Language [EN] English
Lecturers
Area of study [MAT-TEMA] Industrial Mathematics
Additional informations
Livecycle-State [NORM] Active

Contents

Mathematical concepts dealing with optimization problems with differential equation constraints are provided and analysed. In particular, the following contents are covered:
  • non-linear theory of operators,
  • adjoint calculus,
  • approximation methods for numerically solving constrained optimization problems

Literature

  • M. Hinze, R. Pinnau, M. Ulbrich, S. Ulbrich: Optimal Control of Partial Differential Equations,
  • F. Troeltzsch: Optimale Steuerung partieller Differentialgleichungen,
  • J.L. Lions: Optimal Control of Systems Governed by Partial Differential Equations,
  • D.G. Luenberger: Optimization by Vector Space Methods.

Materials

Further literature will be announced in the lecture.

Requirements for attendance (informal)

Knowledge from the module [MAT-81-11-M-7] is useful but not necessarily required.

Modules:

Requirements for attendance (formal)

None

References to Course [MAT-81-16-K-7]

Module Name Context
[MAT-81-16-M-7] Optimization with PDE P: Obligatory 2V, 4.5 LP