2 papers
math.OC2025
A Riemannian approach for PDE-constrained shape optimization over the diffeomorphism group using outer metrics
Estefania Loayza-Romero, Lidiya Pryymak, Kathrin Welker
In this paper, we study the use of outer metrics, in particular Sobolev-type metrics on the diffeomorphism group in the context of PDE-constrained shape optimization. Leveraging th…
math.OC2023
A product shape manifold approach for optimizing piecewise-smooth shapes
Lidiya Pryymak, Tim Suchan, Kathrin Welker
Spaces where each element describes a shape, so-called shape spaces, are of particular interest in shape optimization and its applications. Theory and algorithms in shape optimizat…