Modern Methods in Nonlinear Optimizartion: Finite Element Methods for PDE-Constrained Optimal Control Problems [MA4503/MA4505]

Contents
The description of the modules (4503) and (4505) can be found here and here, respectively.
Many areas of science and engineering involve optimal control of processes that are modelled through partial differential equations. In this course we will cover theoretical foundations and numerical methods for solving such optimization problems. The discussed methods can be used for example for optimally controlling heating-up or cooling-down processes, fluids, or chemical reactions.
We discuss different discretization concepts carefully taking into account the difference between discretization of a single equation and the discretization of an optimization problem. We derive a priori error estimates for different situations including problems with inequality constraints as well as problems governed by semilinear PDEs. Moreover, we discuss a posteriori error estimates and adaptive mesh refinement algorithms for PDE-constrained optimization. Last but not least, we give an overview of current research topics in this area.
Team
Lectures: Prof. Dr. Boris Vexler, Room: 03.06.054, E-Mail: vexlerematma.tum.de
Exercises: Dr. Johannes Pfefferer, Room: 03.06.055, E-Mail: pfeffererematma.tum.de
Schedule
Lecture: Monday, 12:15 - 13:45, Room 00.09.022, starting on April 16, weekly
Exercises: Group 1: Monday, 14:15 - 15:45, Room 03.08.011, starting on April 16, biweekly
Group 2: Wednesday, 12:15 - 13:45, Room 02.04.011, starting on April 18, biweekly
Moodle
  Further information is available on Moodle.
Additional course on practical aspects
Please note that we offer an additional lab course for everyone interested in the practical aspects of optimiziation with PDEs.
 
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