An Analysis of the Leap-Frog Discontinuous Galerkin Method for Maxwell´s Equations

Author

Alvarez, J. ; Angulo, Luis D. ; Cabello, Miguel R. ; Rubio Bretones, Amelia ; Garcia, S.G.

Author_Institution

Cassidian, EADS-CASA, Getafe, Spain

Volume

62

Issue

2

fYear

2014

fDate

Feb. 2014

Firstpage

197

Lastpage

207

Abstract

In this paper, we explore the accuracy limits of a finite-element time-domain (TD) 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 TD methods. A comparison with the finite-difference TD method, in terms of computational cost, is also included.

Keywords

Galerkin method; Maxwell equations; finite element analysis; time-domain analysis; Leap-Frog discontinuous Galerkin method; Maxwell equations; TD method; finite-element time-domain method; leap-frog temporal integration; Accuracy; Convergence; Dispersion; Eigenvalues and eigenfunctions; Finite difference methods; Method of moments; Time-domain analysis; Discontinuous Galerkin (DG); finite-element (FE) methods; time-domain (TD) analysis;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/TMTT.2013.2295775

Filename

6702514