7 citations · 24 across the 12 of their papers we have counts for
4 papers · 1 filter
A Linear View on Shape Optimization
Stephan Schmidt, Volker H. Schulz
Shapes do not define a linear space. This paper explores the linear structure of deformations as a representation of shapes. This transforms shape optimization to a variant of opti…
Combining Sobolev Smoothing with Parameterized Shape Optimization
Thomas Dick, Stephan Schmidt, Nicolas R. Gauger
On the one hand, Sobolev gradient smoothing can considerably improve the performance of aerodynamic shape optimization and prevent issues with regularity. On the other hand, Sobole…
An Approximate Newton Smoothing Method for Shape Optimization
Jonas Kusch, Stephan Schmidt, Nicolas R. Gauger
A novel methodology to efficiently approximate the Hessian for numerical shape optimization is considered. The method enhances operator symbol approximations by including body fitt…
Shape Derivatives for the Compressible Navier-Stokes Equations in Variational Form
Matthias Sonntag, Stephan Schmidt, Nicolas R. Gauger
Shape optimization based on surface gradients and the Hadarmard-form is considered for a compressible viscous fluid. Special attention is given to the difference between the 'funct…