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

Upcoming conferences and workshops

• INdAM Workshop: Fast Methods for Isogeometric Analysis, Rome, 5 – 9 May 2025 (invited).
• Domain decomposition conference 29, Milano, 23 – 27 June 2025 (???).
• ÖMG/DMV Meeting, Linz, 1 – 5 September 2025 (invited to minisymposium).
• IGA 2025, Eindhoven, 14 – 17 September 2025 (invited to minisymposium).

See also the list of conferences and workshops.

Publications

Recent preprints include:

• 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.
• Isogeometric Tearing and Interconnecting Solvers for Linearized Elasticity in multi-patch Isogeometric Analysis. (with J. Sogn), arXiv:2305.04975
• A IETI-DP method for discontinuous Galerkin discretizations in Isogeometric Analysis with inexact local solvers. (with M. Montardini, G. Sangalli, R. Schneckenleitner, and M. Tani), arXiv:2206.08416
• Stable discretizations and IETI-DP solvers for the Stokes system in multi-patch Isogeometric Analysis. (with J. Sogn), arXiv:2202.13707
• Dual-Primal Isogeometric Tearing and Interconnecting methodsu for the Stokes problem. (with J. Sogn), arXiv:2112.12163
• IETI-DP methods for discontinuous Galerkin multi-patch Isogeometric Analysis with T-junctions. (with R. Schneckenleitner), arXiv:2109.13147

See also the list of publications.