| 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 | 127 | 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 | 62 | 2015 |
| Efficient PDE constrained shape optimization in shape spaces K Welker Dissertation, Trier, Universität Trier, 2016, 2017 | 39 | 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 | 36 | 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 | 34 | 2020 |
| Suitable spaces for shape optimization K Welker Applied Mathematics & Optimization 84 (Suppl 1), 869-902, 2021 | 31 | 2021 |
| Stochastic approximation for optimization in shape spaces C Geiersbach, E Loayza-Romero, K Welker SIAM Journal on Optimization 31 (1), 348-376, 2021 | 29 | 2021 |
| Towards a Lagrange–Newton approach for PDE constrained shape optimization VH Schulz, M Siebenborn, K Welker New Trends in Shape Optimization, 229-249, 2015 | 24 | 2015 |
| Parameter-free shape optimization: various shape updates for engineering applications L Radtke, G Bletsos, N Kühl, T Suchan, T Rung, A Düster, K Welker Aerospace 10 (9), 751, 2023 | 19 | 2023 |
| On diffeologies from infinite dimensional geometry to PDE constrained optimization N Goldammer, JP Magnot, K Welker Contemporary Mathematics 794, 1-48, 2024 | 18 | 2024 |
| Scaffolding a skeleton A Panotopoulou, E Ross, K Welker, E Hubert, G Morin Research in Shape Analysis: WiSH2, Sirince, Turkey, June 2016, 17-35, 2018 | 15 | 2018 |
| PDE-constrained shape optimization: toward product shape spaces and stochastic models C Geiersbach, E Loayza-Romero, K Welker Handbook of Mathematical Models and Algorithms in Computer Vision and …, 2023 | 14 | 2023 |
| Towards optimization techniques on diffeological spaces by generalizing Riemannian concepts N Goldammer, K Welker arXiv preprint arXiv:2009.04262, 2020 | 13 | 2020 |
| Shape optimization for interface identification with obstacle problems B Führ, V Schulz, K Welker Vietnam Journal of Mathematics 46 (4), 967-985, 2018 | 13 | 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 | 13 | 2015 |
| On optimization transfer operators in shape spaces VH Schulz, K Welker Shape Optimization, Homogenization and Optimal Control: DFG-AIMS workshop …, 2018 | 12 | 2018 |
| Suitable spaces for shape optimization K Welker arXiv preprint arXiv:1702.07579, 2017 | 12 | 2017 |
| Crack propagation in anisotropic brittle materials: From a phase-field model to a shape optimization approach T Suchan, C Kandekar, WE Weber, K Welker Engineering Fracture Mechanics 303, 110065, 2024 | 11 | 2024 |
| 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 | 10 | 2015 |
| A product shape manifold approach for optimizing piecewise-smooth shapes L Pryymak, T Suchan, K Welker International Conference on Geometric Science of Information, 21-30, 2023 | 9 | 2023 |
Volker SchulzUniversity of TrierVerified email at uni-trier.de
