Fachbereich Mathematik 
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Martin Siebenborn

msiebenborn
Junior Professor for Optimization and Approximation

Department of Mathematics
Bundesstraße 55 (Geomatikum)
Room 105
20146 Hamburg

phone: +49 40 42838-5156
email: martin.siebenbornREMOVE@uni-hamburgREMOVE.de
Webpage: https://www.math.uni-hamburg.de/personen/siebenborn/

Projects · Teaching · Publications · Short CV

Open PhD Positions

  • DFG Research Training Group 2583 Modelling, Simulation and Optimization with Fluiddynamic Applications. Details.

Team

Projekte

  • 04/2020 - 10/2023, Landesforschungsförderung LFF-GK11 Simulation-Based Optimal Design of Dynamic Systems under Uncertainties, Link
  • 04/2020 - 10/2024, DFG Research Training Group 2583 Modelling, Simulation and Optimization of Fluid Dynamics Applications, Link
  • 04/2016 - 10/2020, DFG Research Training Group 2126 Algorithmic Optimization, Link

Research focus

logo
  • Shape optimization and interface identification
  • High performance optimization algorithms
  • Algorithmic scalability for PDE constrained optimization
Example: Minimizing energy dissipation in a Stokes flow in mesh-quality preserving shape spaces
Example: Reference surface mesh and optimized geometry in stationary Navier Stokes flow
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Teaching

Winter term 21/22Lecture: Optimization of Complex Systems, online, We 2-4 p.m., Thu 12-2 p.m.
Tutorial: Optimization of Complex Systems, online, Mo 2-4 p.m.
Summer term 21Lecture: Optimization, online, We 4-6 p.m.
Lecture: Numerical Methods for PDEs, online, Tue 12-2 p.m., Fr 8-10 a.m.
Tutorial: Numerical Methods for PDEs, online, Mo 2-4 p.m.
Winter term 20/21Lecture: Optimization of Complex Systems, online, We 2-4 p.m., Thu 12-2 p.m.
Summer term 20Seminar: Numerische Algorithmen in C++
Winter term 19/20Lecture: Numerische Mathematik, Geom H1, Mo 10-12 a.m., Thu 2-4 p.m.
Lecture: Optimierung für Studierende der Informatik, Geom H1, Tue 4-6 p.m.
Summer term 19Lecture: Numerical Methods for PDEs, Geom H5, Tue 12-2 p.m., Fr 8-10 a.m.
Winter term 18/19Lecture: Optimization of Complex Systems, Geom H6, We 12-2 p.m., Fr 8-10 a.m.
Tutorial: Optimization of Complex Systems, Geom 142, Fr 10-12 a.m.
Summer term 18Lecture: Algorithms and Data Structure, Geom H5, Tue 12-2 p.m.
Lecture: Optimization, Geom H5, Thu 10-12 a.m.

Office hours

During term:Tue 2-4 p.m.
During term break:by appointment

Publications

Submitted preprints:

  • J. Pinzon and M. Siebenborn. Fluid dynamic shape optimization using self-adapting nonlinearextension operators with multigrid preconditioners. Submitted to: Journal on Optimization and Engineering (2021), arXiv:2108.07788.
  • J. Pinzon, M. Siebenborn, and A. Vogel. High-Performance Shape Optimization for Linear Elastic Models of Epidermal Cell Structures. Accepted for publication: High Performance Computing in Science and Engineering '20 (2021).

Journal articles:

  • P. M. Müller, N. Kühl, M. Siebenborn, K. Deckelnick, M. Hinze, and T. Rung. A Novel p-Harmonic Descent Approach Applied to Fluid Dynamic Shape Optimization. Journal on Structural and Multidisciplinary Optimization (2021), 10.1007/s00158-021-03030-x.
  • N. Kühl, J. Kröger, M. Siebenborn, M. Hinze, and T. Rung. Adjoint Complement to the Volume-of-Fluid Method for Immiscible Flows. Journal of Computational Physics (2021), 10.1016/j.jcp.2021.110411.
  • M. Siebenborn and J. Wagner. A multigrid preconditioner for tensor product spline smoothing. In: Computational Statistics (2021), 10.1007/s00180-021-01104-4.
  • S. Onyshkevych and M. Siebenborn. Mesh quality preserving shape optimization using nonlinear extension operators. In: Journal of Optimization Theory and Applications 189.1 (2021), pp. 291–316, 10.1007/s10957-021-01837-8.
  • J. Haubner, M. Siebenborn, and M. Ulbrich. A Continuous Perspective on Shape Optimization Via Domain Transformations. In: SIAM Journal on Scientific Computing 43.3 (2021), A1997-A2018, 10.1137/20m1332050.
  • M. Siebenborn and A. Vogel. A shape optimization algorithm for cellular composites. In: PINT Computing and Visualization in Science (2021), 10.51375/IJCVSE.2021.1.5.
  • J. Pinzon, M. Siebenborn, and A. Vogel. Parallel 3d shape optimization for cellular composites on large distributed-memory clusters. In: Journal of Advanced Simulation in Science and Engineering 7.1 (2020), pp. 117–135, 10.15748/jasse.7.117.
  • T. Etling, R. Herzog, and M. Siebenborn. Optimum Experimental Design for Interface Identification Problems. In: SIAM Journal on Scientific Computing 41.6 (2019), 10.1137/18M1208125.
  • M. Siebenborn. A shape optimization algorithm for interface identification allowing topological changes. In: Journal of Optimization Theory and Applications 177(2) (2018), 306-328, 10.1007/s10957-018-1279-4.
  • M. Siebenborn and K. Welker. Algorithmic Aspects of Multigrid Methods for Optimization in Shape Spaces. In: SIAM Journal on Scientific Computing 39.6 (2017), B1156-B1177, 10.1137/16m1104561.
  • V. Schulz, M. Siebenborn, and K. Welker. Efficient PDE constrained shape optimization based on Steklov-Poincare-Type metrics. In: SIAM Journal on Optimization 26.4 (2016), pp. 2800-2819, 10.1137/15M1029369.
  • L. Grasedyck, C. Löbbert, G. Wittum, A. Nägel, V. Schulz, M. Siebenborn, R. Krause, P. Benedusi, U. Küster, and B. Dick. Space and Time Parallel Multigrid for Optimization and Uncertainty Quantification in PDE Simulations. In: Software for Exascale Computing - SPPEXA 2013-2015. Ed. by H.-J. Bungartz, P. Neumann, and E. W. Nagel. Springer International Publishing, (2016), pp. 507-523, 10.1007/978-3-319-40528-5_23.
  • V. Schulz and M. Siebenborn. Computational comparison of surface metrics for PDE constrained shape optimization. In: Computational Methods in Applied Mathematics 16.3 (2016), pp. 485-496, 10.1515/cmam-2016-0009.
  • A. Nägel, V. Schulz, M. Siebenborn, and G. Wittum. Scalable shape optimization methods for structured inverse modeling in 3D diffusive processes. In: Computing and Visualization in Science 17.2 (2015), pp. 79-88, 10.1007/s00791-015-0248-9.
  • V. Schulz, M. Siebenborn, and K. Welker. Structured Inverse Modeling in Parabolic Diffusion Problems. In: SIAM Journal on Control and Optimization 53.6 (2015), pp. 3319-3338, 10.1137/140985883.
  • M. Siebenborn, V. Schulz, and S. Schmidt. A curved-element unstructured discontinuous Galerkin method on GPUs for the Euler equations. In: Computing and Visualization in Science 15.2 (2012), pp. 61-73, 10.1007/s00791-013-0197-0.

Refereed proceedings:

  • V. Schulz, M. Siebenborn, and K. Welker. PDE constrained shape optimization as optimization on shape manifolds. In: Geometric Science of Information. Ed. by F. Nielsen and F. Barbaresco. Vol. 9389. Lecture Notes in Computer Science. 2015, 10.1007/978-3-319-25040-3_54.
  • V. Schulz, M. Siebenborn, and K. Welker. Towards a Lagrange-Newton approach for PDE constrained shape optimization. In: New trends in shape optimization. International Series of Numerical Mathematics. Springer, 2015, 10.1007/978-3-319-17563-8.
  • M. Siebenborn and V. Schulz. GPU Accelerated Discontinuous Galerkin Methods for Euler Equations and Its Adjoint. In: Proceedings of the High Performance Computing Symposium HPC 13. San Diego, California: Society for Computer Simulation International, 2013, 3:1-3:7.

Other publications:

  • M. Siebenborn. Discontinuous Galerkin approaches for HPC flow simulations on stream processors. PhD thesis. Trier University, Germany, 2014.

Software:


Short CV

01/2021Positive intermediate evaluation of junior professorship, Universität Hamburg
Since 02/2018Junior Professor(W1) for Optimization and Approximation, Department of Mathematics, Universität Hamburg
01/2014 - 01/2018Postdoc in DFG priority program Software for Exascale Computing (SPPEXA), Univeristät Trier
01/2014Doctor in Mathematics, Universität Trier, with V. Schulz
11/2010 - 01/2014Research Assistant, Department of Mathematics, Universität Trier
10/2010Diploma in Mathematics, Universität Trier
04/2006 - 10/2010Studies of Mathematics with minor Computer Science, Universität Trier

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