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Abstract
A dissipative scheme based on the Verlet time-stepping algorithm is proposed to decrease the numerical dispersive error and eliminate spurious modes in unstructured grid-based discontinuous Galerkin time-domain (DGTD) method. The dissipative terms are only added in the first line of each time-step to yield a totally explicit algorithm. Combined with this time integration algorithm, we perform a numerical Fourier analysis of the discrete scheme to investigate the dispersion and dissipation properties of DGTD. Numerical results show that more accurate solutions can be obtained by using the dissipative Verlet scheme in the DG method.
Acknowledgment
This work was supported by the National Science Foundation through grant No. 61171016.