An Explicit Nodal Space-Time Discontinuous Galerkin Method for Maxwell´s Equations

Author

Angulo, Luis D. ; Alvarez, J. ; Fernandez Pantoja, Mario ; Gonzalez Garcia, Salvador

Author_Institution

Dept. of Electromagn., Univ. Granada, Granada, Spain

Volume

24

Issue

12

fYear

2014

fDate

Dec. 2014

Firstpage

827

Lastpage

829

Abstract

A novel implicit nodal space-time discontinuous Galerkin (STDG) method is proposed in this letter. An eigenvalue analysis is performed and compared with that for a DG scheme solved with a fourth-order Runge-Kutta time integrator. We show that STDG offers a significant improvement of dissipative and dispersive properties and allows larger time steps, regardless of the spatial hp-refinement. A domain-decomposition technique is used to introduce an explicit formulation of the method in order to render it computationally efficient.

Keywords

Galerkin method; Maxwell equations; Runge-Kutta methods; integration; Maxwell equations; STDG method; dispersive property improvement; dissipative property improvement; domain-decomposition technique; explicit nodal space-time discontinuous Galerkin method; fourth-order Runge-Kutta time integrator; spatial hp-refinement; Computational electromagnetics; Convergence; Dispersion; Eigenvalues and eigenfunctions; Maxwell equations; Method of moments; Computational electrodynamics; discontinuous Galerkin methods; space-time discontinuous Galerkin (STDG);

fLanguage

English

Journal_Title

Microwave and Wireless Components Letters, IEEE

Publisher

ieee

ISSN

1531-1309

Type

jour

DOI

10.1109/LMWC.2014.2366240

Filename

6949678