Software:

  1. Gregor Gantner, Dirk Praetorius, Stefan Schimanko: IGABEM2D.
    Zenodo
    , 2022. [www]
  2. Gregor Gantner, Raymond van Venetië: Implementation of: Adaptive space-time BEM for the heat equation.
    Zenodo
    , 2021. [www]
  3. Udo Boehm, Sonja Cox, Gregor Gantner, Rob Stevenson: Fast solutions (for the first-passage distribution of diffusion models with space-time-dependent drift functions).
    Open Software Foundation
    , 2021. [www]

Preprints:

  1. Gregor Gantner, Martin Vohralík: Inexpensive polynomial-degree- and number-of-hanging-nodes-robust equilibrated flux a posteriori estimates for isogeometric analysis. Submitted to
    Mathematical Models and Methods in Applied Sciences
    , 2022. [preprint]
  2. Gregor Gantner, Rob Stevenson: Improved rates for a space-time FOSLS of parabolic PDEs. Submitted to
    Numerische Mathematik
    , 2022. [preprint]

Journal Articles:

  1. Gregor Gantner, Rob Stevenson: Applications of a space-time FOSLS formulation for parabolic PDEs.
    IMA Journal of Numerical Analysis
    , published online first, 2023. [preprint] [www]
  2. Roland Becker, Gregor Gantner, Michael Innerberger, Dirk Praetorius: Goal-oriented adaptive finite element methods with optimal computational complexity.
    Numerische Mathematik
    , 153:111-140, 2023. [preprint] [www]
  3. Annalisa Buffa, Gregor Gantner, Carlotta Giannelli, Dirk Praetorius, Rafael Vázquez: Mathematical foundations of adaptive isogeometric analysis.
    Archives of Computational Methods in Engineering
    , 29:4479-4555, 2022. [preprint] [www]
  4. Gregor Gantner, Rob Stevenson: A well-posed first order system least squares formulation of the instationary Stokes equations.
    SIAM Journal on Numerical Analysis
    , 60(3):1607-1629, 2022. [preprint] [www]
  5. Gregor Gantner, Dirk Praetorius, Stefan Schimanko: Stable implementation of adaptive IGABEM in 2D in MATLAB.
    Computational Methods in Applied Mathematics
    , 22(3):563-590, 2022. [preprint] [www]
  6. Gregor Gantner, Dirk Praetorius: Adaptive BEM for elliptic PDE systems, part II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations.
    Computers & Mathematics with Applications
    , 117:74-96, 2022. [preprint] [www]
  7. Gregor Gantner, Dirk Praetorius: Adaptive BEM for elliptic PDE systems, part I: abstract framework for weakly-singular integral equations.
    Applicable Analysis
    , 101(6):2085-2118, 2022. [preprint] [www]
  8. Udo Boehm, Sonja Cox, Gregor Gantner, Rob Stevenson: Efficient numerical approximation of a non-regular Fokker–Planck equation associated with first-passage time distributions.
    BIT Numerical Mathematics
    , 62:1355-1382, 2022. [preprint] [www]
  9. Gregor Gantner, Dirk Praetorius: Plain convergence of adaptive algorithms without exploiting reliability and efficiency.
    IMA Journal of Numerical Analysis
    , 42(2):1434-1453, 2022. [preprint] [www]
  10. Gregor Gantner, Raymond van Venetië: Adaptive BEM for the heat equation.
    Computers & Mathematics with Applications
    , 107:117-131, 2022. [preprint] [www]
  11. 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]
  12. 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]
  13. 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]
  14. Gregor Gantner, Dirk Praetorius: Adaptive IGAFEM with optimal convergence rates: T-splines.
    Computer Aided Geometric Design
    , 81:101906, 2020. [preprint] [www]
  15. 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]
  16. 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]
  17. Giovanni Di Fratta, Thomas Führer, Gregor Gantner, Dirk Praetorius: Adaptive Uzawa algorithm for the Stokes equation.
    ESAIM: Mathematical Modelling and Numerical Analysis
    , 53(6):1841–1870, 2019. [preprint] [www]
  18. 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]
  19. 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]
  20. 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]
  21. 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]
  22. 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]
  23. 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]
  24. 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:

  1. 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]
  2. 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]
  3. 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]

Theses:

  1. Gregor Gantner (supervisor: Dirk Praetorius): Optimal adaptivity for splines in finite and boundary element methods. PhD thesis, TU Wien, 2017. [pdf]
  2. Gregor Gantner (supervisors: Michael Feischl, Dirk Praetorius): Adaptive isogeometric BEM. Master's thesis, TU Wien, 2014. [pdf]
  3. Gregor Gantner (supervisor: Michael Kaltenbäck): Positiv definite Funktionen in harmonischer Analysis. Bachelor's thesis (in German), TU Wien, 2012. [pdf]