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20222025
most citedParameter-free shape optimization: various shape updates for engineering applications

16 citations · 28 across the 8 of their papers we have counts for

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8 papers · 1 filter

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★ 7 cited

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.OC2023★ 1 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…

math.OC2023★ 3 cited

A product shape manifold approach for optimizing piecewise-smooth shapes

Lidiya Pryymak, Tim Suchan, Kathrin Welker

Spaces where each element describes a shape, so-called shape spaces, are of particular interest in shape optimization and its applications. Theory and algorithms in shape optimizat…

math.OC2023

Stochastic Augmented Lagrangian Method in Riemannian Shape Manifolds

Caroline Geiersbach, Tim Suchan, Kathrin Welker

In this paper, we present a stochastic augmented Lagrangian approach on (possibly infinite-dimensional) Riemannian manifolds to solve stochastic optimization problems with a finite…

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…