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20232025
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math.OC2025

On an optimization framework for damage localization in structures

Owais Saleem, Tim Suchan, Natalie Rauter +1

Efficient structural damage localization remains a challenge in structural health monitoring (SHM), particularly when the problem is coupled with uncertainty of conditions and comp…

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.OC2024

Shape optimization in the space of piecewise-smooth shapes for the Bingham flow variational inequality

Tim Suchan, Volker Schulz, Kathrin Welker

This paper sets up an approach for shape optimization problems constrained by variational inequalities (VI) in an appropriate shape space. In contrast to classical VI, where no exp…

math.OC2023

Crack propagation in anisotropic brittle materials: from a phase-field model to a shape optimization approach

Tim Suchan, Chaitanya Kandekar, Wolfgang E. Weber +1

The phase-field method is based on the energy minimization principle which is a geometric method for modeling diffusive cracks that are popularly implemented with irreversibility b…

math.OC20231 cited

Optimization of piecewise smooth shapes under uncertainty using the example of Navier-Stokes flow

Caroline Geiersbach, Tim Suchan, Kathrin Welker

We investigate a complex system involving multiple shapes to be optimized in a domain, taking into account geometric constraints on the shapes and uncertainty appearing in the phys…