Title: Large Scale Numerical Shape Optimisation
Speaker: Dr. Stephan Schmidt
Affiliation:
Location: CPSE Seminar room (C615 Roderic Hill)
Time: 4:30pm

Abstract. Shape Optimisation problems are a special sub-class of optimisation problems with PDE constraints, where the domain in which the PDE is defined becomes the unknown to be found. The Hadamard Theorem states that given sufficient regularity, one can always find a representation of the shape gradient that exists on the surface of the unknown domain alone, thereby offering the potential to create very efficient numerical schemes. Unless the structure of a shape optimisation problem is exploited in some fashion, the resulting need to include the deformation of the surrounding domain can potentially become prohibitively expensive. The desire to create higher order methods like SQP also necessitates studies about second order shape derivatives. The talk will also focus on applications in aerodynamic design and the shaping of wave emitters.

About the speaker.