2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.DG2023★ 2 cited
On diffeologies from infinite dimensional geometry to PDE constrained optimization
Nico Goldammer, Jean-PIerre Magnot, Kathrin Welker
We review how diffeologies complete the settings classically used from infinite dimensional geometry to partial differential equations, based on classical settings of functional an…
math.OC2022
Gâteaux semiderivative approach applied to shape optimization for contact problems
Nico Goldammer, Volker H. Schulz, Kathrin Welker
Shape optimization problems constrained by variational inequalities (VI) are non-smooth and non-convex optimization problems. The non-smoothness arises due to the variational inequ…
math.OC2020★ 1 cited
Towards optimization techniques on diffeological spaces by generalizing Riemannian concepts
Nico Goldammer, Kathrin Welker
Diffeological spaces firstly introduced by J.M. Souriau in the 1980s are a natural generalization of smooth manifolds. However, optimization techniques are only known on manifolds…