93 citations · 161 across the 11 of their papers we have counts for
3 papers · 1 filter
Application of p-Laplacian relaxed steepest descent to shape optimization in two-phase flows
Peter Marvin Müller, Martin Siebenborn, Thomas Rung
The paper is concerned with the minimal drag problem in shape optimization of merchant ships exposed to turbulent two-phase flows. Attention is directed to the solution of Reynolds…
A Scalable Algorithm for Shape Optimization with Geometric Constraints in Banach Spaces
Peter Marvin Müller, Jose Pinzon, Thomas Rung +1
This work develops an algorithm for PDE-constrained shape optimization based on Lipschitz transformations. Building on previous work in this field, the -Laplace operator is util…
A Novel -Harmonic Descent Approach Applied to Fluid Dynamic Shape Optimization
Peter Marvin Müller, Niklas Kühl, Martin Siebenborn +3
We introduce a novel method for the implementation of shape optimziation in fluid dynamics applications, where we propose to use the shape derivative to determine deformation field…