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.
We discuss selected topics in optimisation and shape optimisation with partial differential equations. The focus is on both theory and numerics and possible topics can be
shape optimization with shape manifolds
shape spaces
nonsmooth shape optimization
quasi-Newton methods
shape optimization with the Minkowski sum
semi-smooth Newton methods
Applications of shape optimization are for instance car and aircraft design, electrical machines, conductor design or medical imaging.
