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math.OC2025
Fracture propagation by using shape optimization techniques based on outer Riemannian metrics
Tim Suchan, Winnifried Wollner, Kathrin Welker
In this work, we investigate a novel approach for the simulation of two-dimensional, brittle, quasi-static fracture problems based on a shape optimization approach. In contrast to…
math.NA2025
A~posteriori error analysis for optimization with PDE constraints
Fernando Gaspoz, Christian Kreuzer, Andreas Veeser +1
We consider finite element solutions to optimization problems, where the state depends on the possibly constrained control through a linear partial differential equation. Basing up…