Kathrin Welker
Titel
Zitiert von
Zitiert von
Jahr
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
382016
Structured inverse modeling in parabolic diffusion problems
VH Schulz, M Siebenborn, K Welker
SIAM Journal on Control and Optimization 53 (6), 3319-3338, 2015
262015
Efficient PDE constrained shape optimization in shape spaces
K Welker
122016
Towards a Lagrange–Newton approach for PDE constrained shape optimization
VH Schulz, M Siebenborn, K Welker
New Trends in Shape Optimization, 229-249, 2015
122015
Algorithmic aspects of multigrid methods for optimization in shape spaces
M Siebenborn, K Welker
SIAM Journal on Scientific Computing 39 (6), B1156-B1177, 2017
102017
A novel Steklov-Poincaré type metric for efficient PDE constrained optimization in shape spaces
V Schulz, M Siebenborn, K Welker
SIAM J. Optim.(submitted), 2015
92015
Scaffolding a skeleton
A Panotopoulou, E Ross, K Welker, E Hubert, G Morin
Research in Shape Analysis, 17-35, 2018
62018
Suitable spaces for shape optimization
K Welker
arXiv preprint arXiv:1702.07579, 2017
62017
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
62015
Shape optimization for interface identification with obstacle problems
B Führ, V Schulz, K Welker
Vietnam Journal of Mathematics 46 (4), 967-985, 2018
32018
On optimization transfer operators in shape spaces
VH Schulz, K Welker
Shape Optimization, Homogenization and Optimal Control, 259-275, 2018
32018
Efficient techniques for shape optimization with variational inequalities using adjoints
D Luft, VH Schulz, K Welker
arXiv preprint arXiv:1904.08650, 2019
22019
Optimization in the space of smooth shapes
K Welker
International Conference on Geometric Science of Information, 65-72, 2017
22017
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
12019
Stochastic approximation for optimization in shape spaces
C Geiersbach, E Loayza-Romero, K Welker
arXiv preprint arXiv:2001.10786, 2020
2020
Shape optimization: what to do first, optimize or discretize?
R Bergmann, R Herzog, E Loayza-Romero, K Welker
PAMM 19 (1), e201900067, 2019
2019
Computational Aspects for Interface Identification Problems with Stochastic Modelling
C Geiersbach, E Loayza, K Welker
arXiv preprint arXiv:1902.01160, 2019
2019
A Riemannian SQP method for PDE constrained shape optimization
V Schulz, M Siebenborn, K Welker
Book of Abstracts-Extract, 8, 2015
2015
Structured inverse modeling in parabolic diffusion processess
V Schulz, M Siebenborn, K Welker
arXiv preprint arXiv:1409.3464, 2014
2014
Efficient PDE Constrained Shape Optimization in Shape Spaces Effiziente PDE beschränke Formoptimierung in Formenräumen
K Welker
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