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...
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...
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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