An analysis of the Leap-Frog Discontinuous Galerkin method for Maxwell equations
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Álvarez González, Jesús; Díaz Angulo, Luis Manuel; Ruiz Cabello, Miguel; Rubio Bretones, Amelia Consuelo; González García, SalvadorMateria
Finite-element methods Discontinuous Galerkin Time-domain analysis
Date
2014Referencia bibliográfica
Álvarez González, J.; et. al. An analysis of the Leap-Frog Discontinuous Galerkin method for Maxwell equations. IEEE Trans. On Microwave Theory and Techn, vol. 62(2), pp. 197-207, 2014. [http://hdl.handle.net/10481/50133]
Sponsorship
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-5Abstract
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