Monolithic convex limiting in discontinuous Galerkin discretizations of hyperbolic conservation laws H Hajduk Computers & Mathematics with Applications 87, 120-138, 2021 | 29 | 2021 |
Limiter-based entropy stabilization of semi-discrete and fully discrete schemes for nonlinear hyperbolic problems D Kuzmin, H Hajduk, A Rupp Computer Methods in Applied Mechanics and Engineering 389, 114428, 2022 | 27 | 2022 |
Matrix-free subcell residual distribution for Bernstein finite element discretizations of linear advection equations H Hajduk, D Kuzmin, T Kolev, R Abgrall Computer Methods in Applied Mechanics and Engineering 359, 112658, 2020 | 21 | 2020 |
New directional vector limiters for discontinuous Galerkin methods H Hajduk, D Kuzmin, V Aizinger Journal of Computational Physics 384, 308-325, 2019 | 19 | 2019 |
Matrix-free subcell residual distribution for Bernstein finite elements: Monolithic limiting H Hajduk, D Kuzmin, T Kolev, V Tomov, I Tomas, JN Shadid Computers & Fluids 200, 104451, 2020 | 18 | 2020 |
Locally filtered transport for computational efficiency in multi-component advection-reaction models H Hajduk, BR Hodges, V Aizinger, B Reuter Environmental Modelling & Software 102, 185-198, 2018 | 16 | 2018 |
FESTUNG 1.0: Overview, usage, and example applications of the MATLAB/GNU Octave toolbox for discontinuous Galerkin methods B Reuter, H Hajduk, A Rupp, F Frank, V Aizinger, P Knabner Computers & Mathematics with Applications 81, 3-41, 2021 | 15 | 2021 |
Locally bound-preserving enriched Galerkin methods for the linear advection equation D Kuzmin, H Hajduk, A Rupp Computers & Fluids 205, 104525, 2020 | 13 | 2020 |
Enriched Galerkin method for the shallow-water equations M Hauck, V Aizinger, F Frank, H Hajduk, A Rupp GEM-International Journal on Geomathematics 11, 1-25, 2020 | 11 | 2020 |
Bathymetry reconstruction using inverse shallow water models: Finite element discretization and regularization H Hajduk, D Kuzmin, V Aizinger | 8* | |
Numerical investigation of direct bathymetry reconstruction based on a modified shallow-water model H Hajduk University of Erlangen-Nürnberg, 2017 | 6 | 2017 |
FESTUNG—The Finite Element Simulation Toolbox for UNstructured Grids F Frank, B Reuter, V Aizinger | 6 | 2015 |
FESTUNG: The Finite Element Simulation Toolbox for UNstructured Grids (2020) F Frank, B Reuter, V Aizinger, H Hajduk, A Rupp URL https://github. com/FESTUNG, 0 | 6 | |
Property-Preserving Numerical Schemes for Conservation Laws D Kuzmin, H Hajduk | 5 | 2024 |
Algebraically constrained finite element methods for hyperbolic problems with applications in geophysics and gas dynamics H Hajduk Dortmund, Technische Universität, 2022 | 4 | 2022 |
Bound-preserving and entropy-stable algebraic flux correction schemes for the shallow water equations with topography H Hajduk, D Kuzmin arXiv preprint arXiv:2207.07261, 2022 | 2 | 2022 |
Analysis of algebraic flux correction schemes for semi-discrete advection problems H Hajduk, A Rupp BIT Numerical Mathematics 63 (1), 8, 2023 | 1 | 2023 |
Analysis of algebraic flux correction for semi-discrete advection problems H Hajduk, A Rupp, D Kuzmin arXiv preprint arXiv:2104.05639, 2021 | 1 | 2021 |
Matrix-free subcell residual distribution for Bernstein finite elements: Low-order schemes and FCT H Hajduk, D Kuzmin, T Kolev, R Abgrall | 1 | 2019 |
Nonlinear interactions of nearly non-dispersive equatorial shallow-water waves M Wang, Z Wang, H Hajduk IMA Journal of Applied Mathematics 85 (3), 365-384, 2020 | | 2020 |