Space–time adaptive ADER discontinuous Galerkin finite element schemes with a posteriori sub-cell finite volume limiting O Zanotti, F Fambri, M Dumbser, A Hidalgo Computers & Fluids 118, 204-224, 2015 | 189 | 2015 |
ExaHyPE: An engine for parallel dynamically adaptive simulations of wave problems A Reinarz, DE Charrier, M Bader, L Bovard, M Dumbser, K Duru, F Fambri, ... Computer Physics Communications 254, 107251, 2020 | 102 | 2020 |
Solving the relativistic magnetohydrodynamics equations with ADER discontinuous Galerkin methods, a posteriori subcell limiting and adaptive mesh refinement O Zanotti, F Fambri, M Dumbser Monthly Notices of the Royal Astronomical Society 452 (3), 3010-3029, 2015 | 99 | 2015 |
ADER discontinuous Galerkin schemes for general-relativistic ideal magnetohydrodynamics F Fambri, M Dumbser, S Köppel, L Rezzolla, O Zanotti Monthly Notices of the Royal Astronomical Society 477 (4), 4543-4564, 2018 | 93 | 2018 |
Space–time adaptive ADER-DG schemes for dissipative flows: Compressible Navier–Stokes and resistive MHD equations F Fambri, M Dumbser, O Zanotti Computer Physics Communications 220, 297-318, 2017 | 76 | 2017 |
A divergence‐free semi‐implicit finite volume scheme for ideal, viscous, and resistive magnetohydrodynamics M Dumbser, DS Balsara, M Tavelli, F Fambri International Journal for Numerical Methods in Fluids 89 (1-2), 16-42, 2019 | 73 | 2019 |
Efficient implementation of ADER discontinuous Galerkin schemes for a scalable hyperbolic PDE engine M Dumbser, F Fambri, M Tavelli, M Bader, T Weinzierl Axioms 7 (3), 63, 2018 | 67 | 2018 |
Spectral semi-implicit and space–time discontinuous Galerkin methods for the incompressible Navier–Stokes equations on staggered Cartesian grids F Fambri, M Dumbser Applied Numerical Mathematics 110, 41-74, 2016 | 50 | 2016 |
On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations M Dumbser, F Fambri, E Gaburro, A Reinarz Journal of Computational Physics 404, 109088, 2020 | 46 | 2020 |
Staggered discontinuous Galerkin methods for the incompressible Navier–Stokes equations: spectral analysis and computational results M Dumbser, F Fambri, I Furci, M Mazza, S Serra‐Capizzano, M Tavelli Numerical Linear Algebra with Applications 25 (5), e2151, 2018 | 44 | 2018 |
Semi-implicit discontinuous Galerkin methods for the incompressible Navier–Stokes equations on adaptive staggered Cartesian grids F Fambri, M Dumbser Computer Methods in Applied Mechanics and Engineering 324, 170-203, 2017 | 44 | 2017 |
A new continuum model for general relativistic viscous heat-conducting media E Romenski, I Peshkov, M Dumbser, F Fambri Philosophical Transactions of the Royal Society A 378 (2170), 20190175, 2020 | 27 | 2020 |
An efficient semi‐implicit method for three‐dimensional non‐hydrostatic flows in compliant arterial vessels F Fambri, M Dumbser, V Casulli International journal for numerical methods in biomedical engineering 30 (11 …, 2014 | 25 | 2014 |
A novel structure preserving semi‐implicit finite volume method for viscous and resistive magnetohydrodynamics F Fambri International Journal for Numerical Methods in Fluids 93 (12), 3447-3489, 2021 | 24 | 2021 |
Discontinuous Galerkin methods for compressible and incompressible flows on space–time adaptive meshes: toward a novel family of efficient numerical methods for fluid dynamics F Fambri Archives of Computational Methods in Engineering 27 (1), 199-283, 2020 | 22 | 2020 |
A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume/finite element scheme for the incompressible MHD equations F Fambri, E Zampa, S Busto, L Río-Martín, F Hindenlang, ... Journal of Computational Physics 493, 112493, 2023 | 10 | 2023 |
A new causal general relativistic formulation for dissipative continuum fluid and solid mechanics and its solution with high-order ADER schemes I Peshkov, E Romenski, F Fambri, M Dumbser arXiv preprint arXiv:1910.02687, 2019 | 4 | 2019 |
Mass, momentum and energy preserving FEEC and broken-FEEC schemes for the incompressible Navier–Stokes equations V Carlier, M Campos Pinto, F Fambri IMA Journal of Numerical Analysis, drae047, 2024 | 3 | 2024 |
Numerical Relativistic Magnetohydrodynamics with ADER Discontinuous Galerkin methods on adaptively refined meshes. O Zanotti, M Dumbser, F Fambri Journal of Physics: Conference Series 719 (1), 012024, 2016 | 1 | 2016 |
Structure preserving hybrid Finite Volume Finite Element method for compressible MHD F Fambri, E Sonnendrücker arXiv preprint arXiv:2407.14141, 2024 | | 2024 |