Stefan Takacs

Short curriculum vitae

• Since 2021 University assistant at NUMA, JKU.
• 2020 Habilitation at JKU.
• 2015 – 2021 Post doc at RICAM, Austrian Academy of Sciences (ÖAW), Linz, Austria.
• 2012 – 2015 Erwin Schrödinger Fellowship
  • Research stays: University of Oxford, UK, TU Chemnitz, Germany and JKU.
• 2008 – 2012 PhD Student in the Doctoral Program "Computational Mathematics", JKU.
  • Thesis: All-at-once Multigrid Methods for Optimality Systems Arising from Optimal Control Problems
• 2006 – 2008 Master in Industrial Mathematics at JKU.
• 2003 – 2006 Bachelor in Technical Mathematics at JKU.
• 1984 born in Linz, Austria.

See also:

• Karriere-Meilensteine: JKU Forscher habilitiert
• TU Chemnitz Aktuell: Als Wissenschaftler um die Welt
• JKU Univationen: Mathematik ist (fast) alles

Teaching

I give lectures at JKU for students in mathematics and engineering studies. I was the (co-)superviser for three Master's theses and two PhD theses; currently I am supervisor for one Master's students and one PhD student. For the lectures, examination dates and related topics, see the subpages on teaching and exams.

Research interests

• Multigrid methods
• Domain decomposition methods
• Isogeometric analysis (IgA)
• Optimality systems (KKT systems)
• Fourier analysis and symbolic methods

Moreover, I am one of the developers of the G+Smo library, a c++ based library for Isogeometric Analysis, developed in the framework of the NFN Geometry+Simulation.

Research grants

• Stand-alone project Fast Methods for Adaptive Isogeometric Analysis as project leader
  Funded by the Austrian Science Fund (FWF): grant P33956 (project proposed by Clemens Hofreither)
• WTZ grant Theory and Algorithms for Approximation with Polynomials and Splines as project coordinator (for the Austrian side)
  Funded by the Austrian agency for international mobility (OeAD): grant BG 03/2019
• Stand-alone project Fast Solvers for Isogeometric Analysis as principal investigator
  Funded by the Austrian Science Fund (FWF): grant P31048
• WTZ grant Low-Rank, Polynomial and Spline Approximations and Applications as member
  Funded by the Austrian agency for international mobility (OeAD): grant BG 03/2017
• Erwin Schrödinger fellowship Robust solvers for PDE-constrained optimization problems as principal investigator
  Funded by the Austrian Science Fund (FWF): grant J3362

Recent conferences and workshops

• ÖMG/DMV Meeting, Linz, 1 – 5 September 2025 (invited to minisymposium).
• IGA 2025, Eindhoven, 14 – 17 September 2025 (invited to minisymposium).
• Workshop Advances of Isogeometric Analysis within RICAM special semester Computational Methods for Electric Machines (organzier with R. Vazquez, S. Schöps).

See also the list of conferences and workshops.

Publications

Recent preprints include:

• Dual-primal Isogeometric Tearing and Interconnecting Solvers for adaptively refined multi-patch configurations. (with S. Tyoler), arXiv:2510.08148
• A robust and time-parallel preconditioner for parabolic reconstruction problems using Isogeometric Analysis. (with K.-A. Mardal an J. Sogn), arXiv:2407.17964.
• Multi-resolution Isogeometric Analysis -- Efficient adaptivity utilizing the multi-patch structure. (with S. Tyoler), arXiv:2405.08904.

See also the list of publications.