Zilverling

dr. G. Gantner (Gregor)

Associate Professor
EEMCS-AM-MACS
Zilverling 3007
gregor.gantner@utwente.nl
+31534892515
Business card

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:

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 | 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/3654

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]. Boehm, U., Cox, S., Gantner, G. & Stevenson, R. P.https://osf.io/xv674/

Research profiles

Affiliated study programs

Courses academic year 2025/2026

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.

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