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Journal of Scientific Computing

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08-10-2018

Dispersive Behavior of an Energy-Conserving Discontinuous Galerkin Method for the One-Way Wave Equation

Authors: Mark Ainsworth, Guosheng Fu

Published in: Journal of Scientific Computing | Issue 1/2019

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Abstract

The dispersive behavior of the recently proposed energy-conserving discontinuous Galerkin (DG) method by Fu and Shu (Optimal energy-conserving discontinuous Galerkin methods for linear symmetric hyperbolic systems, 2018. arXiv:1804.10307) 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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Fu, G., Shu, C.-W.: Optimal energy-conserving discontinuous Galerkin methods for linear symmetric hyperbolic systems, arXiv:1804.10307 [math.NA] (2018)

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Title: Dispersive Behavior of an Energy-Conserving Discontinuous Galerkin Method for the One-Way Wave Equation
Authors: Mark Ainsworth
Guosheng Fu
Publication date: 08-10-2018
Publisher: Springer US
Published in: Journal of Scientific Computing / Issue 1/2019
Print ISSN: 0885-7474
Electronic ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-018-0846-z

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