PDE Constrained Shape Optimization as Optimization on Shape Manifolds. - Volker H. Schulz; Martin Siebenborn; Kathrin Welker (GSI, 2015)

Structured Inverse Modeling in Parabolic Diffusion Problems. - Volker H. Schulz; Martin Siebenborn; Kathrin Welker (SIAM J. Control. Optim., 2015)

Efficient PDE Constrained Shape Optimization Based on Steklov-Poincaré-Type Metrics. - Volker H. Schulz; Martin Siebenborn; Kathrin Welker (SIAM J. Optim., 2016)

Optimization in the Space of Smooth Shapes. - Kathrin Welker (GSI, 2017)

Algorithmic Aspects of Multigrid Methods for Optimization in Shape Spaces. - Martin Siebenborn; Kathrin Welker (SIAM J. Sci. Comput., 2017)

Computational Investigations of an Obstacle-Type Shape Optimization Problem in the Space of Smooth Shapes. - Daniel Luft; Kathrin Welker (GSI, 2019)

Efficient Techniques for Shape Optimization with Variational Inequalities Using Adjoints. - Daniel Luft; Volker H. Schulz; Kathrin Welker (SIAM J. Optim., 2020)

PDE-constrained shape optimization: towards product shape spaces and stochastic models. - Caroline Geiersbach; Estefanía Loayza-Romero; Kathrin Welker (CoRR, 2021)

Stochastic Approximation for Optimization in Shape Spaces. - Caroline Geiersbach; Estefanía Loayza-Romero; Kathrin Welker (SIAM J. Optim., 2021)

A Product Shape Manifold Approach for Optimizing Piecewise-Smooth Shapes. - Lidiya Pryymak; Tim Suchan; Kathrin Welker (GSI (1), 2023)

Parameter-free shape optimization: various shape updates for engineering applications. - Lars Radtke; Georgios Bletsos; Niklas Kühl 002; Tim Suchan; Thomas Rung; Alexander Düster; Kathrin Welker (CoRR, 2023)

Stochastic Augmented Lagrangian Method in Riemannian Shape Manifolds. - Caroline Geiersbach; Tim Suchan; Kathrin Welker (J. Optim. Theory Appl., 2024)