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Central local discontinuous galerkin methods on overlapping cells for diffusion equations

Yingjie LiuChi-Wang ShuEitan TadmorMengping Zhang — 2011

ESAIM: Mathematical Modelling and Numerical Analysis

In this paper we present two versions of the central local discontinuous Galerkin (LDG) method on overlapping cells for solving diffusion equations, and provide their stability analysis and error estimates for the linear heat equation. A comparison between the traditional LDG method on a single mesh and the two versions of the central LDG method on overlapping cells is also made. Numerical experiments are provided to validate the quantitative conclusions from the analysis and to support conclusions...

Central local discontinuous galerkin methods on overlapping cells for diffusion equations

Yingjie LiuChi-Wang ShuEitan TadmorMengping Zhang — 2011

ESAIM: Mathematical Modelling and Numerical Analysis

In this paper we present two versions of the central local discontinuous Galerkin (LDG) method on overlapping cells for solving diffusion equations, and provide their stability analysis and error estimates for the linear heat equation. A comparison between the traditional LDG method on a single mesh and the two versions of the central LDG method on overlapping cells is also made. Numerical experiments are provided to validate the quantitative conclusions from the analysis and to support conclusions...

stability analysis of the central discontinuous Galerkin method and a comparison between the central and regular discontinuous Galerkin methods

Yingjie LiuChi-Wang ShuEitan TadmorMengping Zhang — 2008

ESAIM: Mathematical Modelling and Numerical Analysis


We prove stability and derive error estimates for the recently introduced central discontinuous Galerkin method, in the context of linear hyperbolic equations with possibly discontinuous solutions. A comparison between the central discontinuous Galerkin method and the regular discontinuous Galerkin method in this context is also made. Numerical experiments are provided to validate the quantitative conclusions from the analysis.

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