@misc{10481/50133, year = {2014}, url = {http://hdl.handle.net/10481/50133}, abstract = {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 included}, organization = {The 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-5}, keywords = {Finite-element methods}, keywords = {Discontinuous Galerkin}, keywords = {Time-domain analysis}, title = {An analysis of the Leap-Frog Discontinuous Galerkin method for Maxwell equations}, doi = {TMTT.2013.2295775}, author = {Álvarez González, Jesús and Díaz Angulo, Luis Manuel and Ruiz Cabello, Miguel and Rubio Bretones, Amelia Consuelo and González García, Salvador}, }