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Kathrin Welker
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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
1012016
Structured inverse modeling in parabolic diffusion problems
VH Schulz, M Siebenborn, K Welker
SIAM Journal on Control and Optimization 53 (6), 3319-3338, 2015
512015
Algorithmic aspects of multigrid methods for optimization in shape spaces
M Siebenborn, K Welker
SIAM Journal on Scientific Computing 39 (6), B1156-B1177, 2017
332017
Efficient PDE constrained shape optimization in shape spaces
K Welker
282017
Suitable spaces for shape optimization
K Welker
Applied Mathematics & Optimization 84 (Suppl 1), 869-902, 2021
222021
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
222020
Towards a Lagrange–Newton approach for PDE constrained shape optimization
VH Schulz, M Siebenborn, K Welker
New Trends in Shape Optimization, 229-249, 2015
212015
Stochastic approximation for optimization in shape spaces
C Geiersbach, E Loayza-Romero, K Welker
SIAM Journal on Optimization 31 (1), 348-376, 2021
182021
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
132018
Shape optimization for interface identification with obstacle problems
B Führ, V Schulz, K Welker
Vietnam Journal of Mathematics 46 (4), 967-985, 2018
112018
On optimization transfer operators in shape spaces
VH Schulz, K Welker
Shape Optimization, Homogenization and Optimal Control: DFG-AIMS workshop …, 2018
112018
Suitable spaces for shape optimization
K Welker
arXiv preprint arXiv:1702.07579, 2017
112017
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
102023
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
102015
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
92015
On diffeologies from infinite dimensional geometry to PDE constrained optimization
N Goldammer, JP Magnot, K Welker
82023
Towards optimization techniques on diffeological spaces by generalizing Riemannian concepts
N Goldammer, K Welker
arXiv preprint arXiv:2009.04262, 2020
72020
Optimization in the space of smooth shapes
K Welker
Geometric Science of Information: Third International Conference, GSI 2017 …, 2017
52017
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
42023
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
22023
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