3 papers
math.OC2025
Stabilized SQP Methods in Hilbert Spaces
Andrian Uihlein, Winnifried Wollner
Based on techniques by (S.J. Wright 1998) for finite-dimensional optimization, we investigate a stabilized sequential quadratic programming method for nonlinear optimization proble…
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…