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math.NA2026
A well-balanced positivity-preserving discontinuous Galerkin method for shallow water models with variable density
Jun She, Haiyun Dong, Maojun Li +1
In this paper, we present a numerical scheme designed for coupled systems of variable-topography shallow water flow and solute transport. By integrating a variable-density system w…
math.NA2022
An efficient and energy decaying discontinuous Galerkin method for Maxwell's equations for the Cole-Cole dispersive medium
Jiangming Xie, Maojun Li, Miao-Jung Yvonne Ou
In this work, we investigate the propagation of electromagnetic waves in the Cole-Cole dispersive medium by using the discontinuous Galerkin (DG) method to solve the coupled time-d…
math.NA2019★ 11 cited
A CDG-FE method for the two-dimensional Green-Naghdi model with the enhanced dispersive property
Maojun Li, Liwei Xu, Yongping Cheng
In this work, we investigate numerical solutions of the two-dimensional shallow water wave using a fully nonlinear Green-Naghdi model with an improved dispersive effect. For the pu…