Discontinuous Galerkin methods: An affordable alternative to FDTD

Author

Angulo, Luis D. ; Alvarez, J. ; Bretones, A. ; Teixeira, Fernando L. ; Garcia, S.G.

Author_Institution

Cassidian, Airbus Group, Getafe, Spain

fYear

2014

fDate

3-8 Aug. 2014

Firstpage

517

Lastpage

520

Abstract

In this work we present a Discontinuous Galerkin Time Domain (DGTD) scheme, combined with a second-order Leap-Frog (LF2) time integrator, to solve Maxwell´s equations. The dispersion and dissipation properties, together with an analysis of the computational costs of the method are investigated and compared with the classical Finite-Difference Time-Domain (FDTD) method. We show that DGTD methods have the potential to become an accurate and computationally affordable alternative to FDTD methods, furthermore taking profit of all similarities with FDTD in terms of material treatment capabilities, geometrical generality, etc.

Keywords

Galerkin method; Maxwell equations; computational electromagnetics; finite difference time-domain analysis; FDTD; Maxwell´s equations; classical finite-difference time-domain method; discontinuous Galerkin methods; dispersion properties; dissipation properties; second-order leap-frog time integrator; time domain scheme; Computational efficiency; Dispersion; Equations; Finite difference methods; Indexes; Method of moments; Time-domain analysis; Computational Electrodynamics; Discontinuous Galerkin Methods; Maxwell´s equations; Time-domain analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Electromagnetics in Advanced Applications (ICEAA), 2014 International Conference on

Conference_Location

Palm Beach

Print_ISBN

978-1-4799-7325-5

Type

conf

DOI

10.1109/ICEAA.2014.6903911

Filename

6903911