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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

References

  • Piperno S, Fezoui L. A centered discontinuous Galerkin finite volume scheme for the 3D heterogeneous Maxwell equations on unstructured meshes. INRIA Research Report No. 4733; 2003..
  • Fezoui, L, Lanteri, S, Lohrengel, S, and Piperno, S, 2005. Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes, ESAIM Math. Model. Numer. Anal. 39 (2005), pp. 1149–1176.
  • Montseny, E, Pernet, S, Ferriéres, X, and Cohen, G, 2008. Dissipative terms and local time-stepping improvements in a spatial high order discontinuous Galerkin scheme for the time-domain Maxwell’s equations, J. Comput. Phys. 227 (2008), pp. 6795–6820.
  • Cohen, G, and Duruflé, M, 2007. Non spurious spectral-like element methods for Maxwell’s equations, J. Comput. Math. 25 (2007), pp. 282–304.
  • Alvarez, J, Angulo, LD, Bretones, AR, and Garcia, SG, 2012. A spurious-free discontinuous Galerkin time-domain method for the accurate modeling of microwave filters, IEEE Trans. Microwave Theory Tech. 60 (2012), pp. 2359–2369.
  • Hesthaven, JS, and Warburton, T, 2007. Nodal discontinuous Galerkin methods: algorithms, analysis, and applications. New York: Springer; 2007.
  • Hesthaven, JS, and Warburton, T, 2002. Nodal high-order methods on unstructured grids. I. Time-domain solution of Maxwell’s equations, J. Comput. Phys. 181 (2002), pp. 186–221.
  • Sármány, D, Botchev, MA, and van der Vegt, JJW, 2007. Dispersion and dissipation error in high-order Runge-Kutta discontinuous Galerkin discretisations of the Maxwell equations, J. Sci. Comput. 33 (2007), pp. 47–74.
  • Chen, J, Liu, QH, Chai, M, and Mix, JA, 2010. A nonspurious 3D vector discontinuous Galerkin finite-element time-domain method, Microwave Compon. Lett. 20 (2010), pp. 1–3.
  • Piperno, S, Remaki, M, and Fezoui, L, 2002. A nondiffusive finite volume scheme for the three-dimensional Maxwell’s equations on unstructured meshes, SIAM J. Numer. Anal. 39 (2002), pp. 2089–2108.
  • Cohen, G, Ferriéres, X, and Pernet, S, 2006. A spatial high-order hexahedral discontinuous Galerkin method to solve Maxwell’s equations in time domain, J. Comput. Phys. 217 (2006), pp. 340–363.
  • Mohammadian, AH, Shankar, V, and Hall, WF, 1991. Computation of electromagnetic scattering and radiation using a time-domain finite-volume discretization procedure, Comput. Phys. Commun. 68 (1991), pp. 175–196.
  • Swope, WC, Andersen, HC, Berens, PH, and Wilson, KR, 1982. A computer simulation method for the calculation of equilibrium constants for the formation of physical clusters of molecules: application to small water clusters, J. Chem. Phys. 76 (1982), pp. 637–649.

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