Phd/doctoral Berlin, Germany Apply
Weierstrass Institute for Applied Analysis and Stochastics (WIAS Berlin))
Nonsmooth Variational Problems and Operator Equations
Mohrenstr. 39
10117 Berlin
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The WIAS is an institute of the Forschungsverbund Berlin e.V. (FVB). The FVB comprises eight non-university natural science research institutes in Berlin, which are funded by the federal and state governments. The research institutes are members of the Leibniz Association.

WIAS invites applications for a

PhD Student Position (f/m/d) (Ref. 18/18)

in the Research Group “Nonsmooth Variational Problems and Operator Equations” (Head: Prof. Michael Hintermüller) within the European Innovative Training Network

Reduced Order Modelling, Simulation and Optimization of Coupled systems (ROMSOC)

starting on January 1, 2019.

ROMSOC is a European Industrial Doctorate (EID) project in the programme Innovative Training Networks (ITN) and part of Marie Skłodowska Curie Actions within the Horizon 2020 programme. The ROMSOC EID Network brings together 15 international academic institutions and 11 industry partners and supports the recruitment of eleven Early Stage Researchers (ESRs). Each ESR will be working on an individual research project in the host institution with secondments related to their research in other academic and industrial partners of the network. The research is focused on three major topics: coupling methods, model reduction methods, and optimization methods, for industrial applications in well selected areas, such as optical and electronic systems, economic processes, and materials. The ROMSOC EID Network offers a unique research environment, where leading academics and innovative industries will integrate ESRs into their research teams for the training period, providing an excellent structured training programme in modelling, simulation and optimization of whole products and processes.

We seek excellent open-minded and team-spirited PhD candidates who will get unique international, interdisciplinary and inter-sectoral training in scientific and transferable skills by distinguished leaders from academia and industry. Within the ROMSOC network we offer the following PhD position at Weierstrass Institute for Applied Analysis and Stochastics:

Optimal Shape Design of Air Ducts in Combustion Engines.

Reference number: ROMSOC-ESR11

For performance optimization of combustion engines, in particular in the automobile industry, the optimal shape design of several components of the enigine, such as airducts, is crucial. In this context, for computer based rapid prototyping constrained free form shape optimization techniques are typically superior to parameterization based techniques due to their geometric flexibility. The associated numerical solution requires an efficient computation and yet accurate approximation of an adjoint-based shape gradient and also elements of higher order in a shape-gradient-related descent method for high Reynolds number flows. Moreover, geometric constraints need to be taken care of.

The PhD candidate shall develop a software tool for the numerical solution of this constrained shape optimization task. The work includes the implementation and analysis of a finite volume or finite element based optimization tool which involves a flow model, that is equipped with a proper turbulence model, and an associated adjoint scheme. The newly developed solver has to be tested for industry relevant use cases in a parallel computing environment. The PhD candidate will spend secondments for technical and scientific training at http://Math.Tec (Austria). The PhD degree will be awarded by Humboldt-Universität zu Berlin, Germany.


  • Master degree (or equivalent) in Applied Mathematics, Mathematical Engineering, Scientific Computing or related disciplines.
  • Experience in numerical solution of differential equations, continuous optimization, and numerical analysis, and relevant aspects of continuum mechanics.
  • Programming skills in object oriented languages as well as Python/Matlab.
  • Strong interest in interdisciplinary scientific work.
  • Ability to work independently and as part of a team.
  • Strong motivation to pursue a PhD degree.
  • Preferred qualifications include excellent grades, research talent (as proven by the master thesis), affinity with mathematical modeling, simulation and optimization in engineering applications, and personal ambition.
  • Excellent command of English, together with good academic writing and presentation skills.


Starting Date:              1st of January 2019

Contract:                     Full-time contract for 29 months, extension is possible

Salary:                          The Marie Skłodowska-Curie programme offers highly competitive and  attractive salaries. Gross and net amounts are subject to   countryspecific deductions as well as individual factors and will be confirmed upon appointment.

Application Instructions

Please upload complete application documents (motivation letter, detailed CV, certificates, list of MSc courses and grades, copy of the master thesis, reference letter etc) via our online job-application facility  ( using the button “Apply online”.

To ensure the equality of opportunities we strongly encourage women with the appropriate qualifications to apply. If equally qualified, handicapped applicants will be preferred.

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Contact Person
Prof. Michael Hintermüller