| 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 | 114 | 2016 |
| Computational comparison of surface metrics for PDE constrained shape optimization V Schulz, M Siebenborn Computational Methods in Applied Mathematics 16 (3), 485-496, 2016 | 92 | 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 |
| A novel p-harmonic descent approach applied to fluid dynamic shape optimization PM Müller, N Kühl, M Siebenborn, K Deckelnick, M Hinze, T Rung Structural and multidisciplinary optimization 64 (6), 3489-3503, 2021 | 35 | 2021 |
| 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 |
| Mesh quality preserving shape optimization using nonlinear extension operators S Onyshkevych, M Siebenborn Journal of Optimization Theory and Applications 189, 291-316, 2021 | 28 | 2021 |
| A continuous perspective on shape optimization via domain transformations J Haubner, M Siebenborn, M Ulbrich SIAM Journal on Scientific Computing 43 (3), A1997-A2018, 2021 | 26 | 2021 |
| Scalable shape optimization methods for structured inverse modeling in 3D diffusive processes A Nägel, V Schulz, M Siebenborn, G Wittum Computing and Visualization in Science 17, 79-88, 2015 | 25 | 2015 |
| Adjoint complement to the volume-of-fluid method for immiscible flows N Kühl, J Kröger, M Siebenborn, M Hinze, T Rung Journal of computational physics 440, 110411, 2021 | 23 | 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 |
| A curved-element unstructured discontinuous Galerkin method on GPUs for the Euler equations M Siebenborn, V Schulz, S Schmidt Computing and Visualization in Science 15, 61-73, 2012 | 16 | 2012 |
| 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 |
| A continuous perspective on modeling of shape optimal design problems J Haubner, M Siebenborn, M Ulbrich arXiv preprint arXiv:2004.06942, 2020 | 10 | 2020 |
| 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 |
| Parallel 3d shape optimization for cellular composites on large distributed-memory clusters J Pinzon, M Siebenborn, A Vogel Journal of Advanced Simulation in Science and Engineering 7 (1), 117-135, 2020 | 9 | 2020 |
| Fluid dynamic shape optimization using self-adapting nonlinear extension operators with multigrid preconditioners J Pinzon, M Siebenborn Optimization and Engineering 24 (2), 1089-1113, 2023 | 8 | 2023 |
| A scalable algorithm for shape optimization with geometric constraints in banach spaces PM Müller, J Pinzón, T Rung, M Siebenborn SIAM journal on scientific computing 45 (2), B231-B251, 2023 | 8 | 2023 |
| A shape optimization algorithm for cellular composites M Siebenborn, A Vogel arXiv preprint arXiv:1904.03860, 2019 | 7 | 2019 |
| A shape optimization algorithm for interface identification allowing topological changes M Siebenborn Journal of Optimization Theory and Applications 177 (2), 306-328, 2018 | 6 | 2018 |
| Space and time parallel multigrid for optimization and uncertainty quantification in PDE simulations L Grasedyck, C Löbbert, G Wittum, A Nägel, V Schulz, M Siebenborn, ... Software for Exascale Computing-SPPEXA 2013-2015, 507-523, 2016 | 4 | 2016 |
