In this paper, we explore the accuracy limits of
a Finite-Element Time-Domain method applied to the Maxwell
equations, based on a Discontinuous Galerkin scheme in space,
and a Leap-Frog temporal integration. The dispersion and
dissipation properties of the method are investigated, as well as
the anisotropy of the errors. The results of this novel analysis are
represented in a practical and comprehensible manner, useful for
the application of the method, and for the understanding of the
behavior of the errors in Discontinuous Gelerkin Time-Domain
methods. A comparison with the Finite-Difference Time-Domain
method, in terms of computational cost, is also includedThe work described in this paper and the research leading to these results
has received funding from the European Community’s Seventh Framework
Programme FP7/2007-2013, under grant agreement no 205294 (HIRF SE
project), and from the Spanish National Projects TEC2010-20841-C04-04,
CSD2008-00068, and the Junta de Andalucia Project P09-TIC-
