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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…