Software:
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Gregor Gantner, Dirk Praetorius, Stefan Schimanko: IGABEM2D.Zenodo, 2022. [www]
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Gregor Gantner, Raymond van Venetië: Implementation of: Adaptive space-time BEM for the heat equation.Zenodo, 2021. [www]
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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:
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Gregor Gantner, Martin Vohralík: Inexpensive polynomial-degree- and number-of-hanging-nodes-robust equilibrated flux a posteriori estimates for isogeometric analysis. Submitted toMathematical Models and Methods in Applied Sciences, 2022. [preprint]
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Gregor Gantner, Rob Stevenson: Improved rates for a space-time FOSLS of parabolic PDEs. Submitted toNumerische Mathematik, 2022. [preprint]
Journal Articles:
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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]
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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]
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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]
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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]
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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]
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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]
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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]
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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]
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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]
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Gregor Gantner, Raymond van Venetië: Adaptive BEM for the heat equation.Computers & Mathematics with Applications, 107:117-131, 2022. [preprint] [www]
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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]
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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]
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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]
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Gregor Gantner, Dirk Praetorius: Adaptive IGAFEM with optimal convergence rates: T-splines.Computer Aided Geometric Design, 81:101906, 2020. [preprint] [www]
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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]
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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]
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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]
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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]
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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]
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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]
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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]
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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]
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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]
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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:
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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]
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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]
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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:
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Gregor Gantner (supervisor: Dirk Praetorius): Optimal adaptivity for splines in finite and boundary element methods. PhD thesis, TU Wien, 2017. [pdf]
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Gregor Gantner (supervisors: Michael Feischl, Dirk Praetorius): Adaptive isogeometric BEM. Master's thesis, TU Wien, 2014. [pdf]
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Gregor Gantner (supervisor: Michael Kaltenbäck): Positiv definite Funktionen in harmonischer Analysis. Bachelor's thesis (in German), TU Wien, 2012. [pdf]