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Associate Professor at TU Wien
Contact Information
TU Wien
Institut für Analysis und Scientific Computing
Wiedner Hauptstraße 810
1040 Wien, Austria
Office
green area on the 4th floor.
Research Interests:
Theory
 Shape Optimisation
 Topology Optimisation
 Sensitivity Analysis
 Actuator and Sensor Placement
 Minimax Theory
 Reproducing Kernels and Mesh Free Methods
 Stabilisation of Partial Differential Equations
Application
 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, 2020/07/012024/06/30, (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))
Publications
Submitted/Ongoing

QuasiNewton Methods for Topology Optimization Using a LevelSet Method
with Sebastian Blauth
submitted to Structural and Multidisciplinary Optimisation
[preprint, 2023]

Complete topological asymptotic expansion for \(L_2\) and \(H^1\) trackingtype cost functionals in dimension two and three
with Phillip Baumann and Peter Gangl
submitted
[preprint, 2021]
Accepted and published work (refereed)

The topological state derivative: an optimal control perspective on topology optimisation
with Phillip Baumann, Idriss FouquerMazari and Kevin Sturm
Journal of Geometric Analysis
[preprint, 2023]

Numerical shape optimization of the CanhamHelfrichEvans bending energy
with Michael Neunteufel and Joachim SchÃ¶berl
Journal of Computational Physics
[preprint, 2021]

Automated computation of topological derivatives with application to nonlinear elasticity and reactiondiffusion problems
with Peter Gangl
Computer Methods in Applied Mechanics and Engineering
[preprint, 2022] 
Topological derivative for PDEs on surfaces
with Peter Gangl
SIAM J. Control Optim.
[preprint, 2021] 
Adjoint based methods for the computation of higher order topological derivatives
with Phillip Baumann
Engineering Computations
[preprint, 2021] 
LQbased Optimal Actuator Design for Vibration Control
with M. Sajjad Edalatzadeh, Dante Kalise, and Kirsten A. Morris
IEEE Control Systems Letters
[preprint, 2020] 
Firstorder 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] 
Fully and SemiAutomated shape differentiation in NGSolve
with Peter Gangl, Michael Neunteufel, Joachim Schöberl
Structural and Multidisciplinary Optimization (2020)
[preprint, 2020] 
Asymptotic analysis and topological derivative for 3D quasilinear magnetostatics
with Peter Gangl
ESAIM:M2AN (2020)
[preprint] 
A shape optimization approach for electrical impedance tomography with pointwise measurements
with Yuri Flores Albuquerque and Antoine Laurain
Inverse Problems (2020)
[preprint] 
A simplified derivation technique of topological derivatives for quasilinear transmission problems
with Peter Gangl
ESAIM:COCV (2020)
[preprint] 
Topological sensitivities via a Lagrangian approach for semilinear problems
Nonlinearity (2020)
[preprint] 
On the explicit feedback stabilization of 1D linear nonautonomous parabolic equations via oblique projections
with S. S. Rodrigues
IMA J. Math. Control Inform. (2019)
[preprint] 
Weaklynormal basis vector fields in rkhs with an
application to shape newton methods
with Alberto Paganini
SIAM J. Numer. Anal. (2019)
[preprint] 
Shape optimization via nearly conformal transformations.
with Jose A. Iglesias and Florian Wechsung
SIAM J. Sci. Comput. (2018)
[preprint] 
Optimal actuator placement and shaping based on shape calculus.
with Dante Kalise and Karl Kunisch
Math. Models Methods Appl. Sci. (2018)
[preprint] 
Reproducing kernel hilbert spaces and variable metric
algorithms in pdeconstrained shape optimization.
with Martin Eigel
Optim. Methods Softw. (2017)
[preprint] 
Parametric semidifferentiability of minimax of
lagrangians: averaged adjoint state approach.
with Michel C. Delfour
J. Convex Anal. (2017)
[preprint] 
Shape optimization for a class of semilinear
variational inequalities with applications to damage models.
with Christian Heinemann
SIAM J. Math. Anal. (2016)
[preprint] 
Minimax differentiability via the averaged adjoint for control/shape sensitivity.
with Michel C. Delfour
IFACPapersOnLine (open access) (2016) 
Distortion compensation as a
shape optimisation problem for a sharp interface model.
with Michael Hintermüller and Dietmar Hömberg
Comput. Optim. Appl. (2016)
[preprint] 
A structure theorem for shape functions defined on submanifolds.
Interfaces Free Bound. (2016)
[preprint] 
Distributed shape derivative via averaged
adjoint method and applications.
with Antoine Laurain
ESAIM Math. Model. Numer. Anal. (2016)
[preprint] 
Shape optimization with nonsmooth cost functions: from theory to
numerics.
SIAM J. Control Optim. (2016)
[preprint] 
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)
[preprint] 
Minimax Lagrangian approach to the differentiability of nonlinear
PDE constrained shape functions without saddle point assumption.
SIAM J. Control Optim. (2015)
[preprint] 
Shape differentiability under nonlinear PDE constraints.
Internat. Ser. Numer. Math. (2015)
Others
Lectures
The course Computer Mathematik in 2020/2021/2022 was supported by data camp.
Year  Winter Semester  Summer Semester 

2023  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) 