2 citations · 4 across the 11 of their papers we have counts for
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A high order explicit time finite element method for the acoustic wave equation with discontinuous coefficients
Zhiming Chen, Yong Liu, Xueshuang Xiang
In this paper, we propose a novel high order unfitted finite element method on Cartesian meshes for solving the acoustic wave equation with discontinuous coefficients having comple…
An oscillation free local discontinuous Galerkin method for nonlinear degenerate parabolic equations
Qi Tao, Yong Liu, Yan Jiang +1
In this paper, we develop an oscillation free local discontinuous Galerkin (OFLDG) method for solving nonlinear degenerate parabolic equations. Following the idea of our recent wor…
A well-balanced oscillation-free discontinuous Galerkin method for shallow water equations
Yong Liu, Jianfang Lu, Qi Tao +1
In this paper, we develop a well-balanced oscillation-free discontinuous Galerkin (OFDG) method for solving the shallow water equations with a non-flat bottom topography. One notab…
A class of adaptive multiresolution ultra-weak discontinuous Galerkin methods for some nonlinear dispersive wave equations
Juntao Huang, Yong Liu, Yuan Liu +2
In this paper, we propose a class of adaptive multiresolution (also called adaptive sparse grid) ultra-weak discontinuous Galerkin (UWDG) methods for solving some nonlinear dispers…