L 2 STABILITY ANALYSIS OF THE CENTRAL DISCONTINUOUS GALERKIN METHOD AND A COMPARISON BETWEEN THE CENTRAL AND REGULAR

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

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