Stefan Takacs

I am university assistant at the Institute of Numerical Mathematics (NuMa) of the Johannes Kepler University Linz (JKU).

Short curriculum vitae

Since Nov 2021 University assistant at 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:

Teaching

I give lectures at JKU for students in mathematics and engineering studies. I was the (co-)superviser for two Master's theses and two PhD theses; currently I am supervisor for two 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

Conferences and workshops in 2023

Austrian Numerical Analysis Day 2023, 27 – 28 April 2023
11th International Conference on IsoGeometric Analysis, 18 – 21 June 2023
10th CMAPT workshop, 3 – 7 July 2023
Workshop on topology optimization and isogeometric analysis, 11 – 13 September 2023.

See also the list of conferences and workshops.

Publications

Recent preprints include:

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
Multigrid solvers for isogeometric discretizations of the second biharmonic problem. (with J. Sogn), arXiv:2112.12559
Dual-Primal Isogeometric Tearing and Interconnecting methods 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.