A Discontinuous Galerkin Finite Element Time-Domain Method Modeling of Dispersive Media

A Discontinuous Galerkin Finite Element Time-Domain Method Modeling of Dispersive Media

A method is proposed for solving the time-dependent Maxwell's equations via the discontinuous Galerkin finite-element time-domain (DGFETD) method with dispersive media. An auxiliary differential equation (ADE) method is used to represent the constitutive relations. The method is applied to Drud...

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Veröffentlicht in:IEEE transactions on antennas and propagation 2012-04, Vol.60 (4), p.1969-1977
Hauptverfasser: Gedney, S. D., Young, J. C., Kramer, T. C., Roden, J. A.
Format: Artikel
Sprache:eng
Schlagworte:
Applied classical electromagnetism
Convergence
Differential equations
Discontinuous Galerkin methods
Dispersion
electromagnetic propagation in dispersive media
Electromagnetic wave propagation, radiowave propagation
Electromagnetism
electron and ion optics
Equations
Exact sciences and technology
Finite element method
finite element time-domain
Fundamental areas of phenomenology (including applications)
Galerkin methods
high-order methods
Mathematical analysis
Mathematical model
Mathematical models
Media
Physics
Runge-Kutta method
Time domain analysis
Vectors
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Beschreibung
Zusammenfassung:A method is proposed for solving the time-dependent Maxwell's equations via the discontinuous Galerkin finite-element time-domain (DGFETD) method with dispersive media. An auxiliary differential equation (ADE) method is used to represent the constitutive relations. The method is applied to Drude materials, as well as to multiple pole Debye and Lorentz materials. An efficient implementation for high-order Runge-Kutta time integration schemes is presented. The method is validated and is shown to exhibit high-order convergence.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2012.2186273