97 citations · 335 across the 19 of their papers we have counts for
3 papers · 2 filters
Towards computing high-order p-harmonic descent directions and their limits in shape optimization
Henrik Wyschka, Martin Siebenborn
We present an extension of an algorithm for the classical scalar -Laplace Dirichlet problem to the vector-valued -Laplacian with mixed boundary conditions in order to solve p…
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…