2 papers
math.OC2026
A Probabilistic Approach to Shape Derivatives
Luka Schlegel, Volker Schulz, Frank T. Seifried +1
We introduce a novel mesh-free and direct method for computing the shape derivative in PDE-constrained shape optimization problems. Our approach is based on a probabilistic represe…
math.OC2024
Shape optimization in the space of piecewise-smooth shapes for the Bingham flow variational inequality
Tim Suchan, Volker Schulz, Kathrin Welker
This paper sets up an approach for shape optimization problems constrained by variational inequalities (VI) in an appropriate shape space. In contrast to classical VI, where no exp…