Department of Mathematics
Homepages
(hier geht es zur ggf. vollständigeren Homepage im alten Layout)
(this way to the possibly more complete Homepage in the old layout)
Every student should at least present one solution on the blackboard.
(this way to the possibly more complete Homepage in the old layout)
Optimization of Complex Systems WiSe 2019/20
General Information
The modeling of complex phenomena arising in engineering, life sciences, and other disciplines of science usually leads to partial differential equations (PDEs). Often one wants to achieve a desired behavior of the solutions of these PDEs which can be achieved by designing appropriate control functions in order to manipulate the solutions. This leads to optimization problems with PDE constraints. In this course we will discuss the solution of such infinite-dimensional optimization problems. We will derive necessary and sufficient optimality conditions and discuss efficient discretization techniques as well as the numerical solution of the arising large-scale linear systems of equations.
This course is divided into two parts in which the following topics will be discussed (preliminary plan):
Part 1 (first half of the semester)
Part 2 (second half of the semester)
PrerequisitesRequired
Recommended
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Lecturer
Schedule
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Recommended Literature
I will not prepare own lecture notes for this course, but there is a bunch of very good books and lecture notes that I will also use for my own preparation:
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Exams
Depending on whether you decide to take only the first part or both parts together, the final oral exam will have a different duration:
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Exercises
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