Vacancies
Within the framework of my Vidi research project on optimal adaptive space-time boundary and finite element methods funded by the Dutch Research Council (NWO), I have an opening for a PhD student for 4 years and a postdoc for 1.5 years.
About myself
I am an associate professor in the Mathematics of Computational Science (MACS) group at the University of Twente (UT), The Netherlands.
In my research, I deal with numerics of partial differential equations (PDEs), in particular with finite element methods (FEM), boundary element methods (BEM), and space-time methods. My focus is on adaptive methods, which estimate where the discretization error is large and locally refine the underlying mesh accordingly.
I finished my master studies in Technical Mathematics at TU Wien in 2014 and my PhD studies in Technical Mathematics at TU Wien in the workgroup of Dirk Praetorius in 2017. Until October 2019, I remained there as postdoc. From November 2019 until January 2022, I was postdoc in the workgroup of Rob Stevenson at the University of Amsterdam. From February 2022 until October 2022, I rejoined TU Wien as independent postdoctoral researcher. In November 2022, I started an Inria Starting Faculty Position (ISFP), i.e., a tenured research position with teaching obligation, at Inria Paris. From November 2023 until March 2026, I was a Bonn Junior Fellow (associate professor for mathematics) at the University of Bonn. I joined the University of Twente as associate professor in April 2026.
Awards:
- Member of GAMM juniors (01/2020 – 12/2022)
- Study Prize 2019 of the Austrian Mathematical Society for the best dissertation thesis
- Best Lecture Award 2019 of TU Wien
- Best Paper Award 2017 of the Faculty for Mathematics and Geoinformation (TU Wien)
- Promotio sub auspiciis Praesidentis rei publicae (10/2018)
- Finalist for the ECCOMAS PhD Award for the best theses on Computational Methods in Applied Sciences and Engineering in 2017
- Dr.-Klaus-Körper Prize 2018 of GAMM for the best dissertation theses of 2017 in the fields of Applied Mathematics and Mechanics
Organisations
Research interests
- Numerical treatment of partial differential equations
- Finite element methods (FEM)
- Least-squares FEM
- Boundary element methods (BEM)
- Space-time methods
- Isogeometric analysis (IGA)
- A posteriori error analysis
- Adaptive mesh-refining strategies
- Convergence and optimality of adaptive algorithms
Publications
Jump to: Article | Conference contribution | PhD Thesis - Research external, graduation external | Preprint | Review article | Software
Article
2026
Optimal convergence rates of an adaptive hybrid FEM-BEM method for full-space linear transmission problems (2026)IMA Journal of Numerical Analysis, 46(2), 1183-1207. Gantner, G. & Ruggeri, M.https://doi.org/10.1093/imanum/draf023Adaptive boundary element methods for regularized combined field integral equations (2026)IMA Journal of Numerical Analysis (Accepted/In press). Chaumont-Frelet, T. & Gantner, G.https://doi.org/10.1093/imanum/drag018
2025
Space-Time FEM-BEM Couplings for Parabolic Transmission Problems (2025)SIAM Journal on Numerical Analysis, 63(5), 1909-1932. Führer, T., Gantner, G. & Karkulik, M.https://doi.org/10.1137/24M1695646Aubin–Nitsche-type estimates for space-time FOSLS for parabolic PDEs (2025)Computers & mathematics with applications, 186, 155-170. Führer, T. & Gantner, G.https://doi.org/10.1016/j.camwa.2025.03.017
2024
Inexpensive polynomial-degree-robust equilibrated flux a posteriori estimates for isogeometric analysis (2024)Mathematical models & methods in applied sciences, 34(03), 477-522. Gantner, G. & Vohralík, M.https://doi.org/10.1142/S0218202524500076Improved rates for a space–time FOSLS of parabolic PDEs (2024)Numerische Mathematik, 156(1), 133–157 . Gantner, G. & Stevenson, R.https://doi.org/10.1007/s00211-023-01387-3
2023
Applications of a space time FOSLS formulation for parabolic PDEs (2023)IMA Journal of Numerical Analysis, 44(1), 58-82. Gantner, G. & Stevenson, R.https://doi.org/10.1093/imanum/drad012Goal-oriented adaptive finite element methods with optimal computational complexity (2023)Numerische Mathematik, 153(1), 111-140. Becker, R., Gantner, G., Innerberger, M. & Praetorius, D.https://doi.org/10.1007/s00211-022-01334-8
2022
Efficient numerical approximation of a non-regular Fokker–Planck equation associated with first-passage time distributions (2022)BIT, 62(4), 1355-1382. Boehm, U., Cox, S., Gantner, G. & Stevenson, R.https://doi.org/10.1007/s10543-022-00914-2Adaptive BEM for elliptic PDE systems, part II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations (2022)Computers & mathematics with applications, 117, 74-96. Gantner, G. & Praetorius, D.https://doi.org/10.1016/j.camwa.2022.04.006Stable Implementation of Adaptive IGABEM in 2D in MATLAB (2022)Computational Methods in Applied Mathematics, 22(3), 563-590. Gantner, G., Praetorius, D. & Schimanko, S.https://doi.org/10.1515/cmam-2022-0050A Well-Posed First Order System Least Squares Formulation of the Instationary Stokes Equations (2022)SIAM journal on numerical analysis, 60(3), 607-1629. Gantner, G. & Stevenson, R.https://doi.org/10.1137/21m1432600Adaptive BEM for elliptic PDE systems, part I: Abstract framework, for weakly-singular integral equations (2022)Applicable Analysis, 101(6), 2085-2118 . Gantner, G. & Praetorius, D.https://doi.org/10.1080/00036811.2020.1800651Plain convergence of adaptive algorithms without exploiting reliability and efficiency (2022)IMA Journal of Numerical Analysis, 42(2), 1434-1453. Gantner, G. & Praetorius, D.https://doi.org/10.1093/imanum/drab010Adaptive space-time BEM for the heat equation (2022)Computers & mathematics with applications, 107, 117-131. Gantner, G. & van Venetië, R.https://doi.org/10.1016/j.camwa.2021.12.022
2021
Fast solutions for the first-passage distribution of diffusion models with space-time-dependent drift functions and time-dependent boundaries (2021)Journal of mathematical psychology, 105. Article 102613. Boehm, U., Cox, S., Gantner, G. & Stevenson, R.https://doi.org/10.1016/j.jmp.2021.102613Rate optimality of adaptive finite element methods with respect to overall computational costs (2021)Mathematics of computation, 90(331), 2011-2040 (E-pub ahead of print/First online). Gantner, G., Haberl, A., Praetorius, D. & Schimanko, S.https://doi.org/10.1090/mcom/3654Further results on a space-time FOSLS formulation of parabolic PDEs (2021)ESAIM: Mathematical Modelling and Numerical Analysis, 55(1), 283-299. Gantner, G. & Stevenson, R.https://doi.org/10.1051/m2an/2020084
2020
Adaptive IGAFEM with optimal convergence rates: T-splines (2020)Computer aided geometric design, 81. Article 101906. Gantner, G. & Praetorius, D.https://doi.org/10.1016/j.cagd.2020.101906Adaptive isogeometric boundary element methods with local smoothness control (2020)Mathematical models & methods in applied sciences, 30(2), 261-307. Gantner, G., Praetorius, D. & Schimanko, S.https://doi.org/10.1142/s0218202520500074Optimal convergence behavior of adaptive FEM driven by simple (h−h∕2)-type error estimators (2020)Computers & mathematics with applications, 79(3), 623-642. Erath, C., Gantner, G. & Praetorius, D.https://doi.org/10.1016/j.camwa.2019.07.014
2019
Adaptive Uzawa algorithm for the Stokes equation (2019)ESAIM: Mathematical Modelling and Numerical Analysis, 53(6), 1841-1870. Fratta, G. D., Führer, T., Gantner, G. & Praetorius, D.https://doi.org/10.1051/m2an/2019039Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods (2019)Computer methods in applied mechanics and engineering, 351, 571-598. Führer, T., Gantner, G., Praetorius, D. & Schimanko, S.https://doi.org/10.1016/j.cma.2019.03.038
2018
Rate optimal adaptive FEM with inexact solver for nonlinear operators (2018)IMA Journal of Numerical Analysis, 38(4), 1797-1831. Gantner, G., Haberl, A., Praetorius, D. & Stiftner, B.https://doi.org/10.1093/imanum/drx050
2017
Adaptive IGAFEM with optimal convergence rates: Hierarchical B-splines (2017)Mathematical models & methods in applied sciences, 27(14), 2631-2674. Gantner, G., Haberlik, D. & Praetorius, D.https://doi.org/10.1142/S0218202517500543Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations (2017)Numerische Mathematik, 136(1), 147-182. Feischl, M., Gantner, G., Haberl, A. & Praetorius, D.https://doi.org/10.1007/s00211-016-0836-8
2016
Adaptive boundary element methods for optimal convergence of point errors (2016)Numerische Mathematik, 132(3), 541-567. Feischl, M., Gantner, G., Haberl, A., Praetorius, D. & Führer, T.https://doi.org/10.1007/s00211-015-0727-4Adaptive 2D IGA boundary element methods (2016)Engineering Analysis with Boundary Elements, 62, 141-153. Feischl, M., Gantner, G., Haberl, A. & Praetorius, D.https://doi.org/10.1016/j.enganabound.2015.10.003
2015
Reliable and efficient a posteriori error estimation for adaptive IGA boundary element methods for weakly-singular integral equations (2015)Computer methods in applied mechanics and engineering, 290, 362-386. Feischl, M., Gantner, G. & Praetorius, D.https://doi.org/10.1016/j.cma.2015.03.013
Conference contribution
2016
Rate optimal adaptive FEM with inexact solver for strongly monotone operators (2016)In Oberwolfach Workshop on Adaptive Algorithms (pp. 2537-2539). Gantner, G., Haberl, A., Praetorius, D. & Stiftner, B.
2014
A posteriori error estimation for adaptive IGA boundary element methods (2014)In 11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014 (pp. 2421-2432). Feischl, M., Gantner, G. & Praetorius, D.
2013
Method to assess the load shifting potential by using buildings as a thermal storage (2013)In 2nd Central European Symposium on Building Physics (CESBP). Judex, F., Brychta, M., Gantner, G. & Braun, R.
PhD Thesis - Research external, graduation external
2017
Optimal adaptivity for splines in finite and boundary element methods (2017)[Thesis › PhD Thesis - Research external, graduation external]. Vienna University of Technology. Gantner, G.
Preprint
2026
On p-robust convergence and optimality of adaptive FEM driven by equilibrated-flux estimators (2026)[Working paper › Preprint]. ArXiv.org. Chaumont-Frelet, T., Dong, Z., Gantner, G. & Vohralík, M.https://doi.org/10.48550/arXiv.2603.08887Boundary elements for clamped Kirchhoff-Love plates (2026)[Working paper › Preprint]. ArXiv.org. Führer, T., Gantner, G. & Heuer, N.https://doi.org/10.48550/arXiv.2602.09265
2025
Optimal convergence rates of an adaptive finite element method for unbounded domains (2025)[Working paper › Preprint]. ArXiv.org. Chaumont-Frelet, T. & Gantner, G.https://doi.org/10.48550/arXiv.2511.09145
Review article
2022
Mathematical Foundations of Adaptive Isogeometric Analysis (2022)Archives of computational methods in engineering, 29(7), 4479-4555. Buffa, A., Gantner, G., Giannelli, C., Praetorius, D. & Vázquez, R.https://doi.org/10.1007/s11831-022-09752-5
Software
2022
IGABEM2D (2022)[Non-textual form › Software]. Zenodo. Gantner, G., Praetorius, D. & Schimanko, S.https://doi.org/10.5281/zenodo.6282997
2021
Implementation of: Adaptive space-time BEM for the heat equation (2021)[Non-textual form › Software]. Zenodo. Gantner, G. & van Venetië, R.https://doi.org/10.5281/ZENODO.5165042Fast solutions: For the first-passage distribution of diffusion models with space-time-dependent drift functions (2021)[Non-textual form › Software]. OSF. Boehm, U., Cox, S., Gantner, G. & Stevenson, R. P.https://osf.io/xv674/
Research profiles
Affiliated study programs
Courses academic year 2026/2027
Courses in the current academic year are added at the moment they are finalised in the Osiris system. Therefore it is possible that the list is not yet complete for the whole academic year.
Courses academic year 2025/2026
Current projects
Optimal adaptive space-time boundary and finite element methods
NWO Vidi research project (04/2026 — 03/2031): funding of 2 PhD students for 4 years and 1 postdoc for 1.5 years
Robust adaptivity for nonlinear partial differential equations
ANR-DFG research project (03/2025 — 04/2028) with Martin Vohralík (Inria Paris): funding of 1 PhD student for 3 years in my group and 1 PhD student for 3 years and 1 postdoc for 1.5 years in Vohralík's group
Finished projects
Address
University of Twente
Zilverling (building no. 11), room 3007
Hallenweg 19
7522 NH Enschede
Netherlands
University of Twente
Zilverling 3007
P.O. Box 217
7500 AE Enschede
Netherlands
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