Dispersive behavior of an energy-conserving discontinuous Galerkin method for the one-way wave equation

2018/06/12 by Mark Ainsworth, Guosheng Fu, Ainsworth, Mark +1
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Differential Equations and Numerical Methods #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1806.04306

openalex publication_date 2018/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

The dispersive behavior of the recently proposed energy-conserving discontinuous Galerkin (DG) method by Fu and Shu [10] is analyzed and compared with the classical centered and upwinding DG schemes. It is shown that the new scheme gives a significant improvement over the classical centered and upwinding DG schemes in terms of dispersion error. Numerical results are presented to support the theoretical findings.

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