Welcome! Willkommen! 你好!

Associate Professor at TU Wien

Contact Information

TU Wien
Institut für Analysis und Scientific Computing
Wiedner Hauptstraße 8-10
1040 Wien, Austria


green area on the 4th floor.

Research Interests:

  • Shape Optimisation
  • Topology Optimisation
  • Sensitivity Analysis
  • Actuator and Sensor Placement
  • Minimax Theory
  • Reproducing Kernels and Mesh Free Methods
  • Stabilisation of Partial Differential Equations
  • Electrical Impedance Tomography
  • Electrical Machines
  • Elasticity

PhD Students

  • Phillip Baumann, phillip.baumann@tuwien.ac.at
  • FWF project, P 32911, Multiphysical Shape Optimization of Electrical Machines, 2020/07/01-2024/06/30, (joint project with Peter Gangl (Radon Institute))
  • Leon Baeck, leon.baeck@itwm.fraunhofer.de
  • Topology Optimization of a Hydrogen Cell at Fraunhofer ITWM, 2022/07/01- (joint supervison with René Pinnau (Kaiserslautern))



  1. Quasi-Newton Methods for Topology Optimization Using a Level-Set Method
    with Sebastian Blauth
    submitted to Structural and Multidisciplinary Optimisation
    [preprint, 2023]
  2. Complete topological asymptotic expansion for \(L_2\) and \(H^1\) tracking-type cost functionals in dimension two and three
    with Phillip Baumann and Peter Gangl
    [preprint, 2021]

Accepted and published work (refereed)

  1. The topological state derivative: an optimal control perspective on topology optimisation
    with Phillip Baumann, Idriss Fouquer-Mazari and Kevin Sturm
    Journal of Geometric Analysis
    [preprint, 2023]
  2. Numerical shape optimization of the Canham-Helfrich-Evans bending energy
    with Michael Neunteufel and Joachim Schöberl
    Journal of Computational Physics
    [preprint, 2021]
  3. Automated computation of topological derivatives with application to nonlinear elasticity and reaction-diffusion problems
    with Peter Gangl
    Computer Methods in Applied Mechanics and Engineering
    [preprint, 2022]
  4. Topological derivative for PDEs on surfaces
    with Peter Gangl
    SIAM J. Control Optim.
    [preprint, 2021]
  5. Adjoint based methods for the computation of higher order topological derivatives
    with Phillip Baumann
    Engineering Computations
    [preprint, 2021]
  6. LQ-based Optimal Actuator Design for Vibration Control
    with M. Sajjad Edalatzadeh, Dante Kalise, and Kirsten A. Morris
    IEEE Control Systems Letters
    [preprint, 2020]
  7. First-order differentiability properties of a class of equality constrained optimal value functions with applications to shape optimization
    Journal of Nonsmooth Analysis and Optimization (2020)
    [preprint, 2020]
  8. Fully and Semi-Automated shape differentiation in NGSolve
    with Peter Gangl, Michael Neunteufel, Joachim Schöberl
    Structural and Multidisciplinary Optimization (2020)
    [preprint, 2020]
  9. Asymptotic analysis and topological derivative for 3D quasi-linear magnetostatics
    with Peter Gangl
    ESAIM:M2AN (2020)
  10. A shape optimization approach for electrical impedance tomography with pointwise measurements
    with Yuri Flores Albuquerque and Antoine Laurain
    Inverse Problems (2020)
  11. A simplified derivation technique of topological derivatives for quasi-linear transmission problems
    with Peter Gangl
    ESAIM:COCV (2020)
  12. Topological sensitivities via a Lagrangian approach for semilinear problems
    Nonlinearity (2020)
  13. On the explicit feedback stabilization of 1D linear nonautonomous parabolic equations via oblique projections
    with S. S. Rodrigues
    IMA J. Math. Control Inform. (2019)
  14. Weakly-normal basis vector fields in rkhs with an application to shape newton methods
    with Alberto Paganini
    SIAM J. Numer. Anal. (2019)
  15. Shape optimization via nearly conformal transformations.
    with Jose A. Iglesias and Florian Wechsung
    SIAM J. Sci. Comput. (2018)
  16. Optimal actuator placement and shaping based on shape calculus.
    with Dante Kalise and Karl Kunisch
    Math. Models Methods Appl. Sci. (2018)
  17. Reproducing kernel hilbert spaces and variable metric algorithms in pde-constrained shape optimization.
    with Martin Eigel
    Optim. Methods Softw. (2017)
  18. Parametric semidifferentiability of minimax of lagrangians: averaged adjoint state approach.
    with Michel C. Delfour
    J. Convex Anal. (2017)
  19. Shape optimization for a class of semilinear variational inequalities with applications to damage models.
    with Christian Heinemann
    SIAM J. Math. Anal. (2016)
  20. Minimax differentiability via the averaged adjoint for control/shape sensitivity.
    with Michel C. Delfour
    IFAC-PapersOnLine (open access) (2016)
  21. Distortion compensation as a shape optimisation problem for a sharp interface model.
    with Michael Hintermüller and Dietmar Hömberg
    Comput. Optim. Appl. (2016)
  22. A structure theorem for shape functions defined on submanifolds.
    Interfaces Free Bound. (2016)
  23. Distributed shape derivative via averaged adjoint method and applications.
    with Antoine Laurain
    ESAIM Math. Model. Numer. Anal. (2016)
  24. Shape optimization with nonsmooth cost functions: from theory to numerics.
    SIAM J. Control Optim. (2016)
  25. Shape optimization of an electric motor subject to nonlinear magnetostatics.
    with Peter Gangl, Ulrich Langer, Antoine Laurain and Houcine Meftahi
    SIAM J. Sci. Comput. (2015)
  26. Minimax Lagrangian approach to the differentiability of nonlinear PDE constrained shape functions without saddle point assumption.
    SIAM J. Control Optim. (2015)
  27. Shape differentiability under non-linear PDE constraints.
    Internat. Ser. Numer. Math. (2015)


  1. Convergence analysis of Newton's method in shape optimization via approximate normal functions
  2. Discretisation and error analysis for a mathematical model of milling processes.
    with Oliver Rott and Dietmar Hömberg


The course Computer Mathematik in 2020/2021/2022 was supported by data camp. Wedding
Year Winter Semester Summer Semester
2023 Optimisation with PDE constraints (VU 4 SWS)
Seminar: Optimization and shape optimization with PDEs (2 SWS)
Computermathematik (LaTeX+Python) (VU 3.5 SWS)
Numerical Optimisation (3V+1U)
Seminar:Computational Mathematics (2 SWS)
2022 Optimisation with PDE constraints (VU 4SWS)
Seminar: Optimization and shape optimization with PDEs (2 SWS)
Computermathematik (LaTeX+Python) (VU 3.5 SWS)
Numerical Optimisation (3V+1U)
Seminar:Computational Mathematics (2 SWS)
2021 Computermathematik (LaTeX+Python) (VU 3.5SWS)
2020 Numerische Mathematik Computermathematik (LaTeX+Python)
Seminar:Optimisation and shape optimisation, (info see TISS)
2019 Optimisation with PDE constraints (VU 4SWS)
Seminar:Optimisation and shape optimisation with partial differential equations, (info see TISS)

Contact Me