Office hours
On request via Email: [email protected]
Research Interests
- PDE-constrained optimization
- Shape optimization
- Numerical implementation of shape optimization algorithms
- Topology optimization
- Optimization under uncertainties
Publications
C. Geiersbach, T. Suchan and K. Welker: Stochastic Augmented Lagrangian Method in Shape Spaces.Journal of Optimization Theory and Applications (2024). DOI: 10.1007/s10957-024-02488-1.
T. Suchan, C. Kandekar, W.E. Weber, and K. Welker. Crack propagation in anisotropic brittle materials: From a phase-field model to a shape optimization approach. Engineering Fracture Mechanics, 303:110065 (2024). DOI: 10.1016/j.engfracmech.2024.110065.
T. Suchan, V. Schulz, and K. Welker, Shape optimization in the space of piecewise-smooth shapes for the Bingham flow variational inequality, arXiv, 2024. DOI: 10.48550/arXiv.2403.02106.
C. Geiersbach, T. Suchan, and K. Welker, Optimization of piecewise smooth shapes under uncertainty using the example of Navier-Stokes flow, arXiv, 2023. DOI: 10.48550/arXiv.2308.07742.
L. Radtke, G. Bletsos, N. Kühl, T. Suchan, T. Rung, A. Düster, and K. Welker. Parameter-Free Shape Optimization: Various Shape Updates for Engineering Applications. Aerospace, 10(9):751. 2023. DOI: 10.3390/aerospace10090751.
L. Pryymak, T. Suchan, and K. Welker, A Product Shape Manifold Approach for Optimizing Piecewise-Smooth Shapes, In: F. Nielsen and F. Barbaresco (eds.) Geometric Science of Information. GSI 2023. Lecture Notes in Computer Science 14071. Springer International Publishing, Cham: 21-30 (2023). DOI: 10.1007/978-3-031-38271-0_3.
T. Suchan, K. Welker, and W. Wollner, A new shape optimization approach for fracture propagation. In: Proceedings in Applied Mathematics and Mechanics 22: e202200124 (2023). DOI: 10.1002/pamm.202200124.
T. Suchan, R. Najafi Koopas, N. Rauter, and K. Welker, Tracking of fracture‐state displacement data generated by cohesive zone modeling using shape optimization. In: Proceedings in Applied Mathematics and Mechanics 22: e202200284 (2023). DOI: 10.1002/pamm.202200284.
T. Suchan and K. Welker, Viscous energy dissipation reduction by optimization of multiple shapes. In: Proceedings in Applied Mathematics and Mechanics 21: e202100261 (2021). DOI: 10.1002/pamm.202100261.
Participation in Projects
Structural Health Monitoring (funded by dtec.bw)
The overarching goal of the SHM project is to develop new and innovative methods to monitor infrastructure buildings and to continuously evaluate their structural conditions. In this project, an interdisciplinary team consisting of engineers and mathematicians works together with industrial companies. This projects aims to develop methods which are eligible for the detection of any kind of damage in various building structures. The developed methods should allow the reliability-based evaluation of existing infrastructure buildings using sensor data.
Simulation-Based Design Optimization of Dynamic Systems under Uncertainties (funded by Landesforschungsförderung Hamburg)
The main aim of the project is to develop new innovative simulation methods for the robust optimization of complex components. By combining methods from applied mathematics and theoretical mechanical engineering, mathematical models, which involve dynamic operating conditions and uncertain manufacturing processes, will be developed. In particular, a robust design is important for maintenance-intensive and maintenance-free products from the Hamburg aviation and medical technology environment.
Conferences and Presentations
- Presentation: Non-smooth shape optimization with applications for fluid-mechanical problems under uncertainty, International Conference on Scientific Computation and Differential Equations, Singapore, July 2024.
- Presentation: Optimization of multiple shapes: from PDE constraints under uncertainty to variational inequality constraints, French-German-Spanish Conference on Optimization, Gijón, June 2024.
- Presentation: Optimization on shape manifolds with fluid-mechanical applications under uncertainty, 9th European Congress on Computational Methods in Applied Sciences and Engineering, Lisbon, June 2024.
- Presentation: Shape optimization on Riemannian manifolds including nonsmoothness, 94th GAMM Annual Meeting 2024, Magdeburg, March 2024.
- Presentation: Optimization of piecewise-smooth shapes as optimization on a Riemannian product manifold, CSE Workshop on Modeling, Simulation & Optimization of Fluid Dynamic Applications 2024, Groß Schwansee, March 2024.
- Presentation: Shape optimization for fluid-mechanical design under uncertainties and fracture propagation, Mathematical Aspects of Continuum Mechanics 2023, December 2023.
- Presentation: A view on simulating structural models for material parameter estimation and fracture propagation, dtec.bw Doktorandennetzwerktreffen, Munich, November 2023.
- Presentation: Optimization of piecewise-smooth shapes with variational inequality constraints by a Hadamard semiderivative approach, 6th European Conference on Computational Optimization 2023, Heidelberg, September 2023.
- Presentation: A view on validating crack propagation prediction with shape optimization by means of a phase-field model, 17th International Conference on Computational Plasticity. Fundamentals and Applications, Barcelona, September 2023.
- Presentation: Fracture propagation by using shape optimization techniques on Riemannian spaces, 10th International Congress on Industrial and Applied Mathematics, Tokyo, August 2023.
- Participation: dtec.bw Doktorandennetzwerktreffen, Hamburg, June 2023.
- Presentation: Optimization of multiple non-smooth shapes based on a product shape manifold, 93rd GAMM Annual Meeting 2023, Dresden, May 2023.
- Presentation: Step size control for a stochastic Augmented Lagrange method, SENSUS regular meeting, January 2023.
- Presentation: Simulation of fracture propagation using gradient-based shape optimization algorithms, dtec.bw Doktorandennetzwerktreffen, Munich, November 2022.
- Presentation: Simulation of fracture propagation using gradient-based shape optimization algorithms, SENSUS regular meeting, November 2022.
- Presentation: Stochastic multi-shape optimization for a fluid-mechanical application including geometrical constraints, 92nd GAMM Annual Meeting 2022, Aachen, August 2022.
- Presentation: Multi-shape optimization for fluid mechanics under uncertainties, 8th European Congress on Computational Methods in Applied Sciences and Engineering, Oslo, June 2022.
- Participation: dtec.bw Doktorandennetzwerktreffen, Hamburg, May 2022.
- Presentation: Optimization of multiple shapes for a two-dimensional fluid-mechanical problem, YRM & CSE Workshop on Modeling, Simulation & Optimization of Fluid Dynamic Applications 2022, Groß Schwansee, March 2022.
- Participation: dtec.bw Doktorandennetzwerktreffen, Munich, October 2021.
- Presentation: Two-dimensional multi-shape optimization for fluid mechanics, BIW PhD Student colloquium at the Helmut Schmidt University, Hamburg, October 2021.
- Presentation: Efficient algorithms for PDE-constrained shape optimization problems under uncertainties, SENSUS regular meeting, August 2021.
- Poster: Viscous energy dissipation reduction by optimization of multiple shapes, GAMM Juniors’ Summer School 2021 on Shape and Topology Optimization, Graz, July 2021.
- Presentation: Steklov-Poincaré Metric Based Shape Optimization for Fluid Mechanics, SIAM Annual Meeting 2021, July 2021.
- Teilnahme: 14th International Conference on Evolutionary and Deterministic Methods for Design, Optimization and Control, June 2021.
- Presentation: Multi-shape optimization in two-dimensional Stokes flow, 14th World Congress of Structural and Multidisciplinary Optimization (WCSMO14), June 2021.
- Participation: 91st GAMM Annual Meeting, March 2021.
- Participation: DMV Jahrestagung 2020, September 2020.
Letzte Änderung: 4. January 2025