Zilverling

dr. G. Gantner (Gregor)

Universitair hoofddocent
EEMCS-AM-MACS
Zilverling 3007
gregor.gantner@utwente.nl
+31534892515
Visitekaartje

Publicaties

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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/10.1137/24M1695646Aubinā€“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 spaceā€“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 Fokkerā€“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/

Onderzoeksprofielen

Verbonden aan opleidingen

Vakken collegejaar 2025/2026

Vakken in het huidig collegejaar worden toegevoegd op het moment dat zij definitief zijn in het Osiris systeem. Daarom kan het zijn dat de lijst nog niet compleet is voor het gehele collegejaar.

Lopende projecten

Optimal adaptive space-time boundary and finite element methods

Robust adaptivity for nonlinear partial differential equations

Voltooide projecten

Optimal adaptivity for space-time methods

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