Publications

Journal articles and refereed proceedings

M. Siebenborn: A shape optimization algorithm for interface identification allowing topological changes, Journal of Optimization Theory and Applications (submitted), 2017. (arXiv:1711.02535)

M. Siebenborn and K. Welker:Algorithmic aspects of multigrid methods for optimization in shape spaces, SIAM Journal on Scientific Computing (accepted), 2017. (arXiv:1611.05272)

V. Schulz and M. Siebenborn:Computational comparison of surface metrics for PDE constrained shape optimization, Computational Methods in Applied Mathematics, 2016, doi: 10.1515/cmam-2016-0009,  (arXiv:1509.08601)

V. Schulz, M. Siebenborn, and K. Welker: A novel Steklov-Poincaré type metric for efficient PDE constrained optimization in shape spaces, SIOPT (submitted), 2015. (arXiv:1506.02244)

V. Schulz, M. Siebenborn, and K. Welker:PDE constrained shape optimization as optimization on shape manifolds, In: F. Nielsen and F. Barbaresco, editors, Geometric Science of Information, Lecture Notes in Computer Science, Volume 9389, 2015, doi: 10.1007/978-3-319-25040-3_54

A. Nägel, V. Schulz, M. Siebenborn, and G. Wittum: Scalable shape optimization methods for structured inverse modeling in 3D diffusive processes, Computing and Visualization in Science, 17(2):79-88, 2015, doi: 10.1007/s00791-015-0248-9

V. Schulz, M. Siebenborn, and K. Welker:Structured inverse modeling in parabolic diffusion problems, SIAM Journal on Control and Optimization, 53(6):3319–3338, 2015. doi: 10.1137/140985883. (arXiv:1409.3464)

V. Schulz, M. Siebenborn and K. Welker:Towards a Lagrange-Newton approach for PDE constrained shape optimization, In: G. Leugering et al., editors, New trends in shape optimization, International Series of Numerical Mathematics, Volume 166, Springer, 2015, doi: 10.1007/978-3-319-17563-8. (arXiv:1405.3266)

M. Siebenborn and V. Schulz:GPU accelerated discontinuous Galerkin for Euler Equation and its Adjoint, In: Proceedings of the High Performance Computing Symposium, HPC 13, San Diego, pages 3:1-3:7, Society for Computer Simulation International, 2013

M. Siebenborn, V. Schulz, and S. Schmidt:A curved-element unstructured discontinuous Galerkin method on GPUs for the Euler equations, Computing and Visualization in Science, vol. 15, no. 2, pp. 61-73, 2012

Thesis

M. Siebenborn:Discontinuous Galerkin Approaches for HPC Flow Simulations on Stream Processors, PhD. Thesis, Trier University, 2014