| Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field F Li, L Xu, S Yakovlev Journal of Computational Physics 230 (12), 4828-4847, 2011 | 112 | 2011 |
| Numerical simulation of three-dimensional nonlinear water waves L Xu, P Guyenne Journal of Computational Physics 228 (22), 8446-8466, 2009 | 84 | 2009 |
| Positivity-preserving DG and central DG methods for ideal MHD equations Y Cheng, F Li, J Qiu, L Xu Journal of Computational Physics 238, 255–280, 2013 | 76 | 2013 |
| Arbitrary order exactly divergence-free central discontinuous Galerkin methods for ideal MHD equations F Li, L Xu Journal of Computational Physics 231 (6), 2655-2675, 2012 | 76 | 2012 |
| High order well-balanced CDG–FE methods for shallow water waves by a Green–Naghdi model M Li, P Guyenne, F Li, L Xu Journal of Computational Physics 257, 169-192, 2014 | 64 | 2014 |
| Error analysis of the DtN-FEM for the scattering problem in acoustics via Fourier analysis GC Hsiao, N Nigam, JE Pasciak, L Xu Journal of computational and applied mathematics 235 (17), 4949-4965, 2011 | 53 | 2011 |
| Boundary integral equation methods for the two-dimensional fluid-solid interaction problem T Yin, GC Hsiao, L Xu SIAM Journal on Numerical Analysis 55 (5), 2361-2393, 2017 | 49 | 2017 |
| Computation of Maxwell’s transmission eigenvalues and its applications in inverse medium problems J Sun, L Xu Inverse Problems 29 (10), 104013, 2013 | 44 | 2013 |
| A positivity-preserving well-balanced central discontinuous Galerkin method for the nonlinear shallow water equations M Li, P Guyenne, F Li, L Xu Journal of Scientific Computing 71, 994-1034, 2017 | 42 | 2017 |
| Locally divergence-free central discontinuous Galerkin methods for ideal MHD equations S Yakovlev, L Xu, F Li Journal of Computational Science 4 (1-2), 80-91, 2013 | 42 | 2013 |
| A coupled BEM and FEM for the interior transmission problem in acoustics GC Hsiao, F Liu, J Sun, L Xu Journal of computational and applied mathematics 235 (17), 5213-5221, 2011 | 37 | 2011 |
| IP Methods for the Transmission Eigenvalue Problem H Geng, X Ji, J Sun, L Xu Journal of Scientific Computing 68, 326-338, 2016 | 36 | 2016 |
| A system of boundary integral equations for the transmission problem in acoustics GC Hsiao, L Xu Applied numerical mathematics 61 (9), 1017-1029, 2011 | 35 | 2011 |
| An accurate boundary element method for the exterior elastic scattering problem in two dimensions G Bao, L Xu, T Yin Journal of Computational Physics 348, 343-363, 2017 | 26 | 2017 |
| Optimal error estimates of a Crank–Nicolson finite element projection method for magnetohydrodynamic equations C Wang, J Wang, Z Xia, L Xu ESAIM: Mathematical Modelling and Numerical Analysis 56 (3), 767-789, 2022 | 24 | 2022 |
| A spectral projection method for transmission eigenvalues F Zeng, JG Sun, LW Xu Science China Mathematics 59, 1613-1622, 2016 | 21 | 2016 |
| Near-field imaging of obstacles with the factorization method: fluid–solid interaction T Yin, G Hu, L Xu, B Zhang Inverse Problems 32 (1), 015003, 2016 | 21 | 2016 |
| A convergent linearized Lagrange finite element method for the magneto-hydrodynamic equations in two-dimensional nonsmooth and nonconvex domains B Li, J Wang, L Xu SIAM Journal on Numerical Analysis 58 (1), 430-459, 2020 | 20 | 2020 |
| A priori error estimates of the DtN-FEM for the transmission problem in acoustics H Geng, T Yin, L Xu Journal of Computational and Applied Mathematics 313, 1-17, 2017 | 20 | 2017 |
| Maximum-principle-satisfying and positivity-preserving high order central discontinuous Galerkin methods for hyperbolic conservation laws M Li, F Li, Z Li, L Xu SIAM Journal on Scientific Computing 38 (6), A3720-A3740, 2016 | 18 | 2016 |
Fengyan LiProfessor of Applied Mathematics, Rensselaer Polytechnic InstituteVerified email at rpi.edu
