3 papers
math.NA2024
Numerical analysis of a class of penalty discontinuous Galerkin methods for nonlocal diffusion problems
Qiang Du, Lili Ju, Jianfang Lu +1
In this paper, we consider a class of discontinuous Galerkin (DG) methods for one-dimensional nonlocal diffusion (ND) problems. The nonlocal models, which are integral equations, a…
math.NA2021
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…
math.NA2021
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…