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Dr. G. (Gregor) Gantner

Faculty of Science
KDV

Visiting address
  • Science Park 107
Postal address
  • Postbus 94248
    1090 GE Amsterdam
Contact details
  • Research interests
    • Numerical treatment of partial differential equations
    • Finite element method (FEM) 
    • Least-squares FEM
    • Boundary element method (BEM)
    • Space-time methods
    • Isogeometric analysis (IGA) 
    • A posteriori error analysis
    • Adaptive mesh-refining strategies
    • Convergence and optimality of adaptive algorithms
  • Short CV
    Since 11/2019

    Postdoc at the Korteweg-de Vries Institute for Mathematics, University of Amsterdam, Netherlands, research group of Rob Stevenson

    12/2017 – 10/2019

    Postdoc at the Institute for Analysis and Scientific Computing, TU Wien, Austria, research group of Dirk Praetorius

    08/2014 – 11/2017

    PhD student in Technical Mathematics, TU Wien, Austria, supervised by Dirk Praetorius

    06/2014 Diploma in Technical Mathematics, TU Wien, Austria
    05/1990 born in Hollabrunn, Austria
  • Awards
    07/2019 Study Prize 2019 of the Austrian Mathematical Society for the best dissertation thesis
    06/2019 Best Lecture Award 2019 of TU Wien
    10/2018                     Best Paper Award 2017 of the Faculty for Mathematics and Geoinformation (TU Wien)
    10/2018 Promotio sub auspiciis Praesidentis rei publicae
    04/2018 Finalist for the ECCOMAS PhD Award for the best theses on Computational Methods in Applied Sciences and Engineering in 2017
    03/2018 Dr.-Klaus-Körper Prize 2018 of GAMM for the best dissertation theses of 2017 in the fields of Applied Mathematics and Mechanics
  • Research grants
    11/2019 – 10/2022 Principal investigator in Erwin Schrödinger Fellowship Optimal adaptivity for space-time methods funded by the Austrian Science Fund (FWF) under grant J4379-N (personal funding for 3 years)
  • Publications

    Preprints (5)

    2021

    • Gregor Gantner, Dirk Praetorius: Adaptive BEM for elliptic PDE systems, part II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations. Submitted to Computers & Mathematics with Applications, 2021. [preprint]
    • Gregor Gantner, Rob Stevenson: A well-posed first order system least squares formulation of the instationary Stokes equations. Submitted to SIAM Journal on Numerical Analysis, 2021. [preprint]
    • Annalisa Buffa, Gregor Gantner, Carlotta Giannelli, Dirk Praetorius, Rafael Vázquez: Mathematical foundations of adaptive isogeometric analysis. Submitted to Archives of Computational Methods in Engineering, 2021. [preprint]
    • Udo Boehm, Sonja Cox, Gregor Gantner, Rob Stevenson: Efficient numerical approximation of a non-regular Fokker–Planck equation associated with first-passage time distributions. Submitted to BIT Numerical Mathematics, 2021. [preprint]
    • Roland Becker, Gregor Gantner, Michael Innerberger, Dirk Praetorius: Goal-oriented adaptive finite element methods with optimal computational complexity. Submitted to Numerische Mathematik, 2021. [preprint]

    Publications in peer-reviewed journals (17)

    2022

    • Gregor Gantner, Raymond van Venetië: Adaptive BEM for the heat equation. Computers & Mathematics with Applications, 107:117-131, 2022. [preprint] [www]

    2021

    • Udo Boehm, Sonja Cox, Gregor Gantner, Rob Stevenson: Fast solutions for the first-passage distribution of diffusion models with space-time-dependent drift functions and time-dependent boundaries. Journal of Mathematical Psychology, 105:102613, 2021. [preprint] [www]
    • Gregor Gantner, Alexander Haberl, Dirk Praetorius, Stefan Schimanko: Rate optimality of adaptive finite element methods with respect to overall computational costs. Mathematics of Computation, 90:2011-2040, 2021. [preprint] [www]
    • Gregor Gantner, Dirk Praetorius: Plain convergence of adaptive algorithms without exploiting reliability and efficiency. IMA Journal of Numerical Analysis, published online first, 2021. [preprint] [www]
    • Gregor Gantner, Rob Stevenson: Further results on a space-time FOSLS formulation of parabolic PDEs. ESAIM: Mathematical Modelling and Numerical Analysis, 55(1):283–299, 2021. [preprint] [www]

    2020

    • Gregor Gantner, Dirk Praetorius: Adaptive BEM for elliptic PDE systems, part I: abstract framework for weakly-singular integral equations. Applicable Analysis, published online first, 2020. [preprint] [www]
    • Gregor Gantner, Dirk Praetorius: Adaptive IGAFEM with optimal convergence rates: T-splines. Computer Aided Geometric Design, 81:101906, 2020. [preprint] [www]
    • Gregor Gantner, Dirk Praetorius, Stefan Schimanko: Adaptive isogeometric boundary element methods with local smoothness control. Mathematical Models and Methods in Applied Sciences, 30(2):261–307, 2020. [preprint] [www]
    • Christoph Erath, Gregor Gantner, Dirk Praetorius: Optimal convergence behavior of adaptive FEM driven by simple (h − h/2)-type error estimators. Computers & Mathematics with Applications, 79(3):623–642, 2020. [preprint] [www]

    2019

    • Giovanni Di Fratta, Thomas Führer, Gregor Gantner, Dirk Praetorius: Adaptive Uzawa algorithm for the Stokes equation. Mathematical Modelling and Numerical Analysis, 53(6):1841–1870, 2019. [preprint] [www]
    • Thomas Führer, Gregor Gantner, Dirk Praetorius, Stefan Schimanko: Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods. Computer Methods in Applied Mechanics and Engineering,  290:571–598, 2019. [preprint] [www]

    2018

    • Gregor Gantner, Alexander Haberl, Dirk Praetorius, Bernhard Stiftner: Rate optimal adaptive FEM with inexact solver for nonlinear operators. IMA Journal of Numerical Analysis, 38(4):1797–1831, 2018. [preprint] [www]

    2017

    • Gregor Gantner, Daniel Haberlik, Dirk Praetorius: Adaptive IGAFEM with optimal convergence rates: Hierarchical B-splines. Mathematical Models and Methods in Applied Sciences, 27(14):2631–2674, 2017. [preprint] [www]
    • Michael Feischl, Gregor Gantner, Alexander Haberl, Dirk Praetorius: Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations. Numerische Mathematik, 136(1):147–182, 2017. [preprint] [www]

    2016

    • Michael Feischl, Gregor Gantner, Alexander Haberl, Dirk Praetorius: Adaptive 2D IGA boundary element methods. Engineering Analysis with Boundary Elements, 62:141–153, 2016. [preprint] [www]
    • Michael Feischl, Thomas Führer, Gregor Gantner, Alexander Haberl, Dirk Praetorius: Adaptive boundary element methods for optimal convergence of point errors. Numerische Mathematik, 132(3):541–567, 2016. [preprint] [www]

    2015

    • Michael Feischl, Gregor Gantner, Dirk Praetorius: Reliable and efficient a posteriori error estimation for adaptive IGA boundary element methods for weakly-singular integral equations. Computer Methods in Applied Mechanics and Engineering, 290:362–386, 2015. [preprint] [www]

    Proceedings (3)

    2016

    • Gregor Gantner, Alexander Haberl, Dirk Praetorius, Bernhard Stiftner: Rate optimal adaptive FEM with inexact solver for strongly monotone operators. Oberwolfach Workshop on Adaptive Algorithms, pages 2537–2540, 2016. [www]

    2014

    • Michael Feischl, Gregor Gantner, Dirk Praetorius: A posteriori error estimation for adaptive IGA boundary element methods. 11th World Congress on Computational Mechanics (WCCM), pages 2421–2432, 2014. [www]

    2013

    • Florian Judex, Markus Brychta, Gregor Gantner, Reiner Braun: Method to assess the load shifting potential by using buildings as a thermal storage. 2nd Central European Symposium on Building Physics (CESBP), pages 565–570, 2013. [www]

    Academic theses (3)

    2017

    • Gregor Gantner (supervisor: Dirk Praetorius): Optimal adaptivity for splines in finite and boundary element methods. PhD thesis, TU Wien, 2017. [pdf]

    2014

    2012

    • Gregor Gantner (supervisor: Michael Kaltenbäck): Positiv definite Funktionen in harmonischer Analysis. Bachelor's thesis (in German), TU Wien, 2012. [pdf]

    Software (1)

    2021

    • Gregor Gantner, Raymond van Venetië: Implementation of: Adaptive space-time BEM for the heat equation. Zenodo, 2021. [www]
  • Ancillary activities
    No ancillary activities