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 | 112 | 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 | 54 | 2015 |
Algorithmic aspects of multigrid methods for optimization in shape spaces M Siebenborn, K Welker SIAM Journal on Scientific Computing 39 (6), B1156-B1177, 2017 | 33 | 2017 |
Efficient PDE constrained shape optimization in shape spaces K Welker | 30 | 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 | 28 | 2020 |
Suitable spaces for shape optimization K Welker Applied Mathematics & Optimization 84 (Suppl 1), 869-902, 2021 | 25 | 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 | 22 | 2015 |
Stochastic approximation for optimization in shape spaces C Geiersbach, E Loayza-Romero, K Welker SIAM Journal on Optimization 31 (1), 348-376, 2021 | 20 | 2021 |
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 | 14 | 2018 |
Shape optimization for interface identification with obstacle problems B Führ, V Schulz, K Welker Vietnam Journal of Mathematics 46 (4), 967-985, 2018 | 12 | 2018 |
On optimization transfer operators in shape spaces VH Schulz, K Welker Shape Optimization, Homogenization and Optimal Control: DFG-AIMS workshop …, 2018 | 11 | 2018 |
Suitable spaces for shape optimization K Welker arXiv preprint arXiv:1702.07579, 2017 | 11 | 2017 |
PDE constrained shape optimization as optimization on shape manifolds VH Schulz, M Siebenborn, K Welker Geometric Science of Information: Second International Conference, GSI 2015 …, 2015 | 11 | 2015 |
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 | 10 | 2023 |
On diffeologies from infinite dimensional geometry to PDE constrained optimization N Goldammer, JP Magnot, K Welker | 10 | 2023 |
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 |
Towards optimization techniques on diffeological spaces by generalizing Riemannian concepts N Goldammer, K Welker arXiv preprint arXiv:2009.04262, 2020 | 8 | 2020 |
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 | 5 | 2023 |
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 | 5 | 2023 |
Optimization in the space of smooth shapes K Welker Geometric Science of Information: Third International Conference, GSI 2017 …, 2017 | 5 | 2017 |