Monday, 15:45 - 16:10 h, Room: MA 415

 

Volker Schulz
On the usage of the shape Hessian in aerodynamic shape optimization

 

Abstract:
The talk demonstrates how approximations of the shape Hessian can be profitably used to accelerate shape optimization strategies significantly in the application field of aerodynamics. However, at least theoretically, the shape Hessian is of less advantage than usual Hessians - essentially because there does not yet exist a Taylor series expansion in terms of the shape Hessian, and it tends to be nonsymmetric. In this talk, a new view on the shape Hessian is proposed in terms of an appropriate distance measure. Furthermore consequences for numerical implementations are explained.

 

Talk 2 of the invited session Mon.3.MA 415
"Numerical methods in shape and topology optimization" [...]
Cluster 19
"PDE-constrained optimization & multi-level/multi-grid methods" [...]

 

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