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math.OC2022★ 1 cited
A new shape optimization approach for fracture propagation
Tim Suchan, Kathrin Welker, Winnifried Wollner
Within this work, we present a novel approach to fracture simulations based on shape optimization techniques. Contrary to widely-used phase-field approaches in literature the propo…
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…