After successful completion of the course, students are able to understand and solve shape optimization problems and/or optimal control problems contstrained by partial differential equations. Students will have gained an overview over optimisation and shape optimisation with partial differential equations.
Tröltzsch - optimale steuerung partieller differentialgleichungen
Delfour/Zolesio - Shape and geometries
Ito/Kunisch - Lagrange Multiplier Approach to Variational Problems and Applications
Henro/Pierre - Optimisation de forme
Nocedal/Wright - Numerical Optimization
Sepulchre, Absil, Mahony - Optimization algorithm on matrix manifolds
Kanzow, Geiger - Theorie und Numerik restringierter Optimierungsaufgaben
Presentation and if applicable implementation of algorithms
Oral presentation
Not necessary