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 |
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 |
The Galerkin boundary element method for exterior problems of 2-D Helmholtz equation with arbitrary wavenumber J Ma, J Zhu, M Li Engineering analysis with boundary elements 34 (12), 1058-1063, 2010 | 26 | 2010 |
Simulating compressible two-medium flows with sharp-interface adaptive Runge–Kutta discontinuous Galerkin methods XL Deng, M Li Journal of Scientific Computing 74 (3), 1347-1368, 2018 | 20 | 2018 |
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 |
A reconstructed central discontinuous Galerkin-finite element method for the fully nonlinear weakly dispersive Green–Naghdi model H Dong, M Li Applied Numerical Mathematics 110, 110-127, 2016 | 17 | 2016 |
A bound-preserving high order scheme for variable density incompressible Navier-Stokes equations M Li, Y Cheng, J Shen, X Zhang Journal of Computational Physics 425, 109906, 2021 | 14 | 2021 |
High order central discontinuous Galerkin-finite element methods for the Camassa–Holm equation M Li, A Chen Applied Mathematics and Computation 227, 237-245, 2014 | 10 | 2014 |
A CDG-FE method for the two-dimensional Green-Naghdi model with the enhanced dispersive property M Li, L Xu, Y Cheng Journal of Computational Physics 399, 108953, 2019 | 9 | 2019 |
A multigrid multilevel Monte Carlo method for Stokes–Darcy model with random hydraulic conductivity and Beavers–Joseph condition Z Yang, J Ming, C Qiu, M Li, X He Journal of Scientific Computing 90 (2), 68, 2022 | 8 | 2022 |
A high order central DG method of the two-layer shallow water equations Y Cheng, H Dong, M Li, W Xian Communications in Computational Physics 28 (4), 1437-1463, 2020 | 8 | 2020 |
A modified central discontinuous Galerkin method with positivity-preserving and well-balanced properties for the one-dimensional nonlinear shallow water equations A Chen, M Li Journal of Computational and Applied Mathematics 345, 374-387, 2019 | 8 | 2019 |
A reconstructed central discontinuous Galerkin method for conservation laws H Dong, M Lv, M Li Computers & Fluids 153, 76-84, 2017 | 5 | 2017 |
A multiwavelet Galerkin method for Stokes problems using boundary integral equations M Li, J Zhu, X Li Engineering analysis with boundary elements 34 (12), 1009-1017, 2010 | 5 | 2010 |
Simulating compressible two-phase flows with sharp-interface discontinuous Galerkin methods based on ghost fluid method and cut cell scheme X Bai, M Li Journal of Computational Physics 459, 111107, 2022 | 4 | 2022 |
Particle-resolved simulations of shock-induced inviscid flow through particle-curtain at initial stage LJ Jiang, M Li Computers & Fluids 232, 105196, 2022 | 4 | 2022 |
Numerical simulation of a coupled system of Maxwell equations and a gas dynamic model M Lyu, WC Chew, L Jiang, M Li, L Xu Journal of Computational Physics 409, 109354, 2020 | 4 | 2020 |
High order well-balanced central local discontinuous Galerkin-finite element methods for solving the Green–Naghdi model M Li, Y Jiang, H Dong Applied Mathematics and Computation 315, 113-130, 2017 | 4 | 2017 |
A multiwavelet Galerkin boundary element method for the stationary Stokes problem in 3D M Li, J Zhu Engineering analysis with boundary elements 35 (8), 970-977, 2011 | 4 | 2011 |
A well-balanced discontinuous Galerkin method for the shallow water flows on erodible bottom M Li, R Mu, H Dong Computers & Mathematics with Applications 119, 13-20, 2022 | 3 | 2022 |