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.

2022W, VU, 4.0h, 5.0EC
TUWEL

Properties

  • 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

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Mon14:00 - 17:0010.10.2022 - 23.01.2023Sem.R. DA grün 04 Optimisation with PDE constraints
Mon14:00 - 17:0014.11.2022 - 23.01.2023Sem.R. DB gelb 04 Optimierung mit partiellen Differentialgleichungen
Thu16:00 - 18:0012.01.2023Sem.R. DA grün 06B Optimisation with PDE constraints
AKANA Optimisation with PDE constraints - Single appointments
DayDateTimeLocationDescription
Mon10.10.202214:00 - 17:00Sem.R. DA grün 04 Optimisation with PDE constraints
Mon17.10.202214:00 - 17:00Sem.R. DA grün 04 Optimisation with PDE constraints
Mon24.10.202214:00 - 17:00Sem.R. DA grün 04 Optimisation with PDE constraints
Mon31.10.202214:00 - 17:00Sem.R. DA grün 04 Optimisation with PDE constraints
Mon07.11.202214:00 - 17:00Sem.R. DA grün 04 Optimisation with PDE constraints
Mon14.11.202214:00 - 17:00Sem.R. DA grün 04 Optimisation with PDE constraints
Mon14.11.202214:00 - 17:00Sem.R. DB gelb 04 Optimierung mit partiellen Differentialgleichungen
Mon21.11.202214:00 - 17:00Sem.R. DA grün 04 Optimisation with PDE constraints
Mon28.11.202214:00 - 17:00Sem.R. DA grün 04 Optimisation with PDE constraints
Mon28.11.202214:00 - 17:00Sem.R. DB gelb 04 Optimierung mit partiellen Differentialgleichungen
Mon05.12.202214:00 - 17:00Sem.R. DA grün 04 Optimisation with PDE constraints
Mon05.12.202214:00 - 17:00Sem.R. DB gelb 04 Optimierung mit partiellen Differentialgleichungen
Mon12.12.202214:00 - 17:00Sem.R. DA grün 04 Optimisation with PDE constraints
Mon19.12.202214:00 - 17:00Sem.R. DB gelb 04 Optimierung mit partiellen Differentialgleichungen
Mon09.01.202314:00 - 17:00Sem.R. DA grün 04 Optimisation with PDE constraints
Mon09.01.202314:00 - 17:00Sem.R. DB gelb 04 Optimierung mit partiellen Differentialgleichungen
Thu12.01.202316:00 - 18:00Sem.R. DA grün 06B Optimisation with PDE constraints
Mon16.01.202314:00 - 17:00Sem.R. DA grün 04 Optimisation with PDE constraints
Mon16.01.202314:00 - 17:00Sem.R. DB gelb 04 Optimierung mit partiellen Differentialgleichungen
Mon23.01.202314:00 - 17:00Sem.R. DA grün 04 Optimisation with PDE constraints

Examination modalities

Exam in form of a project.

Course registration

Not necessary

Curricula

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

Literature

See lecture notes.

Previous knowledge

partielle Differentialgleichungen

Language

if required in English