Efficient PDE constrained shape optimization based on Steklov--Poincaré-type metrics VH Schulz, M Siebenborn, K Welker SIAM Journal on Optimization 26 (4), 2800-2819, 2016 | 71 | 2016 |
Structured inverse modeling in parabolic diffusion problems VH Schulz, M Siebenborn, K Welker SIAM Journal on Control and Optimization 53 (6), 3319-3338, 2015 | 33 | 2015 |
Efficient PDE constrained shape optimization in shape spaces K Welker | 22 | 2017 |
Algorithmic aspects of multigrid methods for optimization in shape spaces M Siebenborn, K Welker SIAM Journal on Scientific Computing 39 (6), B1156-B1177, 2017 | 21 | 2017 |
Towards a Lagrange–Newton approach for PDE constrained shape optimization VH Schulz, M Siebenborn, K Welker New Trends in Shape Optimization, 229-249, 2015 | 19 | 2015 |
Suitable spaces for shape optimization K Welker arXiv preprint arXiv:1702.07579, 2017 | 11 | 2017 |
Efficient techniques for shape optimization with variational inequalities using adjoints D Luft, VH Schulz, K Welker SIAM Journal on Optimization 30 (3), 1922-1953, 2020 | 10 | 2020 |
Scaffolding a skeleton A Panotopoulou, E Ross, K Welker, E Hubert, G Morin Research in Shape Analysis, 17-35, 2018 | 10 | 2018 |
Shape optimization for interface identification with obstacle problems B Führ, V Schulz, K Welker Vietnam Journal of Mathematics 46 (4), 967-985, 2018 | 9 | 2018 |
PDE constrained shape optimization as optimization on shape manifolds VH Schulz, M Siebenborn, K Welker International Conference on Geometric Science of Information, 499-508, 2015 | 9 | 2015 |
A novel Steklov-Poincaré type metric for efficient PDE constrained optimization in shape spaces V Schulz, M Siebenborn, K Welker arXiv preprint arXiv:1506.02244, 2015 | 9 | 2015 |
Suitable spaces for shape optimization K Welker Applied Mathematics & Optimization 84 (1), 869-902, 2021 | 8 | 2021 |
Stochastic approximation for optimization in shape spaces C Geiersbach, E Loayza-Romero, K Welker SIAM Journal on Optimization 31 (1), 348-376, 2021 | 8 | 2021 |
On optimization transfer operators in shape spaces VH Schulz, K Welker Shape Optimization, Homogenization and Optimal Control, 259-275, 2018 | 5 | 2018 |
Optimization in the space of smooth shapes K Welker International Conference on Geometric Science of Information, 65-72, 2017 | 5 | 2017 |
Towards optimization techniques on diffeological spaces by generalizing Riemannian concepts N Goldammer, K Welker arXiv preprint arXiv:2009.04262, 2020 | 2 | 2020 |
Computational investigations of an obstacle-type shape optimization problem in the space of smooth shapes D Luft, K Welker International Conference on Geometric Science of Information, 579-588, 2019 | 1 | 2019 |
Shape Optimization for Variational Inequalities of Obstacle Type: Regularized and Unregularized Computational Approaches VH Schulz, K Welker Non-Smooth and Complementarity-Based Distributed Parameter Systems, 397-420, 2022 | | 2022 |
Optimization on diffeological spaces N Goldammer, K Welker PAMM 21 (S1), e202100260, 2021 | | 2021 |
Viscous energy dissipation reduction by optimization of multiple shapes T Suchan, K Welker PAMM 21 (S1), e202100261, 2021 | | 2021 |