101.814 AKANA Optimisation with PDE constraints
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2023W, VU, 4.0h, 5.0EC


  • Semester hours: 4.0
  • Credits: 5.0
  • Type: VU Lecture and Exercise
  • Format: Hybrid

Learning outcomes

After successful completion of the course, students are able to formulate and solve (shape) optimisation problems with partial differential equations. Students are able to solve optimisation problem analytically as well as numerically. 

Subject of course

We discuss optimisation problems with PDE constraints. More precisely we will discuss optimal control as well as shape optimisation problems and develop numerical  as well as theoretical solution methods. Applications of optimisation problems are manifold and can be, e.g., car and air craft design, optimal control of industrial plants, or optimisation of biological models. Also electic engines and noninvasive medical treatment of patients can be improved by optimisation techniques.

Teaching methods

Students work on projects, which contain theoretical as well as theoretical problems. The projects will be presented by the students at the end of the semester.  

Mode of examination

Written and oral

Additional information

Lecture is on Mondays 14:00-16:30 in Sem.R. DA grün 04 from 14:00 - 16:30



Examination modalities

Exam in form of a project.

Course registration

Not necessary


Study CodeObligationSemesterPrecon.Info
860 GW Optional Courses - Technical Mathematics Mandatory elective


See lecture notes.

Previous knowledge

partielle Differentialgleichungen


if required in English