Dispersive behavior of an energy-conserving discontinuous Galerkin method for the one-way wave equation
For researchers using DG methods for wave propagation, this work provides a more accurate scheme with reduced dispersion error.
The paper analyzes the dispersive behavior of a new energy-conserving discontinuous Galerkin method for the one-way wave equation, showing significant improvement in dispersion error over classical centered and upwinding DG schemes.
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.