2 papers
math.OC2022
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…
math.OC2022
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…