Research Group Numerical Mathematics (Partial Differential Equations)





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Research Group Numerical Mathematics
(Partial Differential Equations)

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Prof. Dr. Roland Herzog [ Contact ]

Optimal Control of Partial Differential Equations (4V, 2Ü)

Contents

Partial differential equations (PDEs) describe a countless number of phenomena in the natural sciences, such as heat conduction, the propagation of sound and electromagnetic waves the motion of fluids and the behavior of quantum physical particles. Besides the numerical simulation of such processes, one is often interested in their optimization, e.g., for economical reasons, or in order to improve material qualities. This leads to optimization and optimal control problems for PDEs.

Goals of this class

In this class you will
  • get to know some basic examples of optimal control problems with PDEs,
  • learn about necessary and sufficient optimality conditions (as a starting point for numerical solution schemes),
  • learn to use numerical methods for the solution of optimal control problems.
This class complements well the following other classes: This class can serve as a preparatory step towards a thesis in the work group Numerical Mathematics (Partial Differential Equations).

You may also consider the list of all classes for additional information.

This class can serve as a research module in numerical mathematics (large) or as a research module in optimization (large).

News

16.03.2010 Die Vorlesung am Donnerstag, den 08.04.2010 entfällt.
16.03.2010 Die Vorlesung beginnt am Mittwoch, den 07.04.2010.

Dates

Class Wednesday 11:30 - 13:00 (3. LE) 2/B202 Roland Herzog Office hours: Monday, 12:30 - 13:45 and by appointment
Class Thursday 7:30 - 9:00 (1. LE) 2/B202 Roland Herzog
Tutorial Monday 7:30 - 9:00 (1. LE) 2/SR6 Gerd Wachsmuth Office hours TBA, TBA

Additional lecture material

Tutorials

Additional tutorial material

Exam

Supplementary References

The lecture follows the book (in German) In addition, you may want to consider a book about functional analysis, e.g., For auxiliary results we will sometimes refer to the following books: