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Journal of Electromagnetic Waves and Applications Volume 27, 2013 - Issue 14
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Articles

Dissipative scheme for discontinuous Galerkin time-domain method based on Verlet time-stepping

Da PengCollege of Electronic Science and Engineering, National University of Defense Technology, Changsha, P.R. China
,
Xingji TangCollege of Electronic Science and Engineering, National University of Defense Technology, Changsha, P.R. China
,
Hu YangCollege of Electronic Science and Engineering, National University of Defense Technology, Changsha, P.R. China
&
Jianguo HeCollege of Electronic Science and Engineering, National University of Defense Technology, Changsha, P.R. China
Pages 1800-1814 | Received 10 Jan 2013, Accepted 14 Jul 2013, Published online: 08 Aug 2013
 
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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.

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