
Fachbereich Mathematik
FachbereichMathematik
Projekte · Lehre · Publikationen · CV
An optimal shape matters - Developing Scalable Shape Optimization Algorithms for Fluid Dynamics and Structural Mechanics, Link
Simulationsbasierte Entwurfsoptimierung dynamischer Systeme unter Unsicherheiten, Link
Modellierung, Simulation und Optimierung mit fluiddynamischen Anwendungen, Link
Algorithmische Optimierung, Link
SoSe 22 | Vorlesung: Scientific Computing (englisch), Geom HS4, Do 16-18 |
Übung: Scientific Computing (englisch), Sed 19 Raum 208, Do 14-16 | |
Seminar: Numerische Algorithmen in C++ | |
WiSe 20/21 | Vorlesung: Optimization of Complex Systems (englisch), online, Mi 14-16, Do 12-14 |
Übung: Optimization of Complex Systems (englisch), online, Mo 14-16 | |
SoSe 21 | Vorlesung: Optimization (englisch), online, Mi 16-18 |
Vorlesung: Numerical Methods for PDEs (englisch), online, Di 12-14, Fr 8-10 | |
Übung: Numerical Methods for PDEs (englisch), online, Mo 14-16 | |
WiSe 20/21 | Vorlesung: Optimization of Complex Systems (englisch), online, Mi 14-16, Do 12-14 |
SoSe 20 | Seminar: Numerische Algorithmen in C++ |
WiSe 19/20 | Vorlesung: Numerische Mathematik, Geom H1, Mo 10-12, Do 14-16 |
Vorlesung: Optimierung für Studierende der Informatik, Geom H1, Di 16-18 | |
SoSe 19 | Vorlesung: Numerical Methods for PDEs (englisch), Geom H5, Di 12-14, Fr 8-10 |
WiSe 18/19 | Vorlesung: Optimization of Complex Systems (englisch), Geom H6, Mi 12-14, Fr 8-10 |
Übung: Optimization of Complex Systems (englisch), Geom 142, Fr 10-12 | |
SoSe 18 | Vorlesung: Algorithms and Data Structure (englisch), Geom H5, Di 12-14 |
Vorlesung: Optimization (englisch), Geom H5, Do 10-12 |
Im Semester: | Di 14-16 |
Vorlesungsfreie Zeit: | Nach Vereinbarung |
Scalable Multigrid Algorithms for Fluid Dynamic Shape Optimization. Accepted for publication: Proceedings of the High Performance Computing in Science & Engineering - 24rd Results and Review Workshop (2021).
A Scalable Algorithm for Shape Optimization with Geometric Constraints in Banach Spaces. Submitted to: SIAM Journal on Scientific Computing (2022), arxiv:2205.01912.
Fluid dynamic shape optimization using self-adapting nonlinear extension operators with multigrid preconditioners. In: Optimization and Engineering (2022), 10.1007/s11081-022-09721-8.
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.
Adjoint Complement to the Volume-of-Fluid Method for Immiscible Flows. Journal of Computational Physics (2021), 10.1016/j.jcp.2021.110411.
A multigrid preconditioner for tensor product spline smoothing. In: Computational Statistics 36.4 (2021), pp. 2379–2411, 10.1007/s00180-021-01104-4.
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.
A Continuous Perspective on Shape Optimization Via Domain Transformations. In: SIAM Journal on Scientific Computing 43.3 (2021), A1997-A2018, 10.1137/20m1332050.
A shape optimization algorithm for cellular composites. In: PINT Computing and Visualization in Science (2021), 10.51375/IJCVSE.2021.1.5.
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.
Optimum Experimental Design for Interface Identification Problems. In: SIAM Journal on Scientific Computing 41.6 (2019), 10.1137/18M1208125.
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.
Algorithmic Aspects of Multigrid Methods for Optimization in Shape Spaces. In: SIAM Journal on Scientific Computing 39.6 (2017), B1156-B1177, 10.1137/16m1104561.
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.
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.
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.
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.
Structured Inverse Modeling in Parabolic Diffusion Problems. In: SIAM Journal on Control and Optimization 53.6 (2015), pp. 3319-3338, 10.1137/140985883.
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.
High-Performance Shape Optimization for Linear Elastic Models of Epidermal Cell Structures. In: High Performance Computing in Science and Engineering '20. Ed. by W. E. Nagel, D. H. Kröner, and M. M. Resch. Springer International Publishing, 2021, pp. 579–594. 10.1007/978-3-030-80602-6.
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.
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.
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.
Discontinuous Galerkin approaches for HPC flow simulations on stream processors. PhD thesis. Trier University, Germany, 2014.
Fluid dynamic shape optimization using self-adapting nonlinear extension operators with multigrid preconditioners. (github.com/MultigridShapeOpt)
01/2021 | Positive Zwischenevaluation der Junior Professor, Universität Hamburg |
Seit 02/2018 | Junior Professor(W1) für Optimierung und Approximation, Fachbereich Mathematik, Universität Hamburg |
01/2014 - 01/2018 | Postdoc im DFG-SPP Software for Exascale Computing(SPPEXA), Universität Trier |
01/2014 | Promotion in Mathematik, Universität Trier, bei V. Schulz |
11/2010 - 01/2014 | Wissenschaftlicher Mitarbeiter, Fachbereich Mathematik, Universität Trier |
10/2010 | Diplom in Mathematik, Universität Trier |
04/2006 - 10/2010 | Studium der Mathematik mit Nebenfach Informatik, Universität Trier |