Space-time FE-DG discretization of the anisotropic diffusion equation in any dimension: the spectral symbol P Benedusi, C Garoni, R Krause, X Li, S Serra-Capizzano SIAM Journal on Matrix Analysis and Applications 39 (3), 1383-1420, 2018 | 37 | 2018 |
One-sided position-dependent smoothness-increasing accuracy-conserving (SIAC) filtering over uniform and non-uniform meshes JK Ryan, X Li, RM Kirby, K Vuik Journal of Scientific Computing 64, 773-817, 2015 | 28 | 2015 |
Smoothness-Increasing Accuracy-Conserving (SIAC) filters for derivative approximations of discontinuous Galerkin (DG) solutions over nonuniform meshes and near boundaries X Li, JK Ryan, RM Kirby, C Vuik Journal of Computational and Applied Mathematics 294, 275-296, 2016 | 23 | 2016 |
Smoothness-increasing accuracy-conserving (SIAC) filtering for discontinuous Galerkin solutions over nonuniform meshes: superconvergence and optimal accuracy X Li, JK Ryan, RM Kirby, K Vuik Journal of Scientific Computing 81 (3), 1150-1180, 2019 | 19 | 2019 |
Enhancing accuracy with a convolution filter: What works and why! J Docampo-Sánchez, GB Jacobs, X Li, JK Ryan Computers & Fluids 213, 104727, 2020 | 13 | 2020 |
Smoothness-Increasing Accuracy-Conserving Filters for Discontinuous Galerkin Methods: Challenging the Assumptions of Symmetry and Uniformity X Li | 5 | 2015 |
Investigation of multi-soliton, multi-cuspon solutions to the Camassa-Holm equation and their interaction X Li, Y Xu, Y Li Chinese Annals of Mathematics, Series B 33 (2), 225-246, 2012 | 5 | 2012 |
Negative norm estimates for arbitrary Lagrangian-Eulerian discontinuous Galerkin method for nonlinear hyperbolic equations Q Tao, Y Xu, X Li Communications on Applied Mathematics and Computation 4 (1), 250-270, 2022 | 2 | 2022 |
SIAC filtering for nonlinear hyperbolic equations X Li, JK Ryan Interdisciplinary Topics in Applied Mathematics, Modeling and Computational …, 2015 | 2 | 2015 |
How to Design a Generic Accuracy-Enhancing Filter for Discontinuous Galerkin Methods X Li Communications on Applied Mathematics and Computation 4 (3), 759-782, 2022 | | 2022 |
An interior penalty discontinuous Galerkin method for the time-domain acoustic-elastic wave interaction problem Y Cheng, J Huang, X Li, L Xu arXiv preprint arXiv:1903.01834, 2019 | | 2019 |
An Iterative Approach for Time Integration Based on Discontinuous Galerkin Methods X Li, P Benedusi, R Krause arXiv preprint arXiv:1610.01324, 2016 | | 2016 |