Acceleration of tensor-product operations for high-order finite element methods K Świrydowicz, N Chalmers, A Karakus, T Warburton The International Journal of High Performance Computing Applications 33 (4 …, 2019 | 59 | 2019 |

NekRS, a GPU-accelerated spectral element Navier–Stokes solver P Fischer, S Kerkemeier, M Min, YH Lan, M Phillips, T Rathnayake, ... Parallel Computing 114, 102982, 2022 | 50 | 2022 |

A GPU accelerated discontinuous Galerkin incompressible flow solver A Karakus, N Chalmers, K Świrydowicz, T Warburton Journal of Computational Physics 390, 380-404, 2019 | 27* | 2019 |

Efficient exascale discretizations: High-order finite element methods T Kolev, P Fischer, M Min, J Dongarra, J Brown, V Dobrev, T Warburton, ... The International Journal of High Performance Computing Applications 35 (6 …, 2021 | 25 | 2021 |

A parallel hp-adaptive high order discontinuous Galerkin method for the incompressible Navier-Stokes equations N Chalmers, G Agbaglah, M Chrust, C Mavriplis Journal of Computational Physics: X 2, 100023, 2019 | 24 | 2019 |

A robust CFL condition for the discontinuous Galerkin method on triangular meshes N Chalmers, L Krivodonova Journal of Computational Physics 403, 109095, 2020 | 17 | 2020 |

Relaxing the CFL number of the discontinuous Galerkin method N Chalmers, L Krivodonova, R Qin SIAM Journal on Scientific Computing 36 (4), A2047-A2075, 2014 | 16 | 2014 |

GPU algorithms for efficient exascale discretizations A Abdelfattah, V Barra, N Beams, R Bleile, J Brown, JS Camier, R Carson, ... Parallel Computing 108, 102841, 2021 | 15 | 2021 |

libParanumal: a performance portable high-order finite element library, 2020 N Chalmers, A Karakus, AP Austin, K Swirydowicz, T Warburton Release 0.4. 0, 0 | 13 | |

On the numerical approximation of one-dimensional nonconservative hyperbolic systems N Chalmers, E Lorin Journal of Computational Science 4 (1-2), 111-124, 2013 | 11 | 2013 |

libParanumal: a performance portable high-order finite element library N Chalmers, A Karakus, AP Austin, K Swirydowicz, T Warburton Release 0.4. 0, 2020 | 9 | 2020 |

Highly optimized full-core reactor simulations on summit P Fischer, E Merzari, M Min, S Kerkemeier, YH Lan, M Phillips, ... arXiv preprint arXiv:2110.01716, 2021 | 8 | 2021 |

Approximation of non-conservative hyperbolic systems based on different shock curve definitions N Chalmers, E Lorin Canadian Applied Mathematics Quarterly 17 (3), 447-473, 2009 | 8 | 2009 |

Massive parallel nodal discontinuous Galerkin finite element method simulator for room acoustics A Melander, E Strøm, F Pind, A Engsig-Karup, CH Jeong, T Warburton, ... International Journal of High Performance Computing Applications, 2020 | 7 | 2020 |

Discontinuous Galerkin discretizations of the Boltzmann–BGK equations for nearly incompressible flows: Semi-analytic time stepping and absorbing boundary layers A Karakus, N Chalmers, JS Hesthaven, T Warburton Journal of Computational Physics 390, 175-202, 2019 | 7 | 2019 |

High-order algorithmic developments and optimizations for large-scale GPU-accelerated simulations T Kolev, P Fischer, AP Austin, AT Barker, N Beams, J Brown, JS Camier, ... ECP Milestone Report WBS 2 (6.06), 2021 | 5 | 2021 |

Initial guesses for sequences of linear systems in a GPU-accelerated incompressible flow solver AP Austin, N Chalmers, T Warburton SIAM Journal on Scientific Computing 43 (4), C259-C289, 2021 | 5 | 2021 |

Portable high-order finite element kernels I: Streaming operations N Chalmers, T Warburton arXiv preprint arXiv:2009.10917, 2020 | 5 | 2020 |

Low-order preconditioning of high-order triangular finite elements N Chalmers, T Warburton SIAM Journal on Scientific Computing 40 (6), A4040-A4059, 2018 | 5 | 2018 |

Spatial and modal superconvergence of the discontinuous Galerkin method for linear equations N Chalmers, L Krivodonova Journal of Scientific Computing 72, 128-146, 2017 | 4 | 2017 |