A discontinuous Galerkin finite element time-domain method modeling of dispersive media

Stephen D. Gedney; John C. Young; Tyler C. Kramer; J. Alan Roden

doi:10.1109/TAP.2012.2186273

A discontinuous Galerkin finite element time-domain method modeling of dispersive media

Stephen D. Gedney, John C. Young, Tyler C. Kramer, J. Alan Roden

Research output: Contribution to journal › Article › peer-review

74 Scopus citations

Abstract

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.

Original language	English
Article number	6142027
Pages (from-to)	1969-1977
Number of pages	9
Journal	IEEE Transactions on Antennas and Propagation
Volume	60
Issue number	4
DOIs	https://doi.org/10.1109/TAP.2012.2186273
State	Published - Apr 2012

Bibliographical note

Funding Information:
Manuscript received August 31, 2011; revised November 10, 2011; accepted November 10, 2011. Date of publication January 31, 2012; date of current version April 06, 2012. This work was supported by ERC, Inc., under PO RS080704 in collaboration with the Aerospace Corporation. S. D. Gedney and J. C. Young are with the Department of Electrical and Computer Engineering, University of Kentucky, Lexington, KY 40506-0046 USA (e-mail: [email protected]; [email protected]). T. C. Kramer and J. A. Roden are with The Aerospace Corporation, Chantilly, VA 20151 USA (e-mail: [email protected]; [email protected]). Color versions of one or more of the figures in this paper are available online at http://ieeexplore.ieee.org. Digital Object Identifier 10.1109/TAP.2012.2186273

Funding

Manuscript received August 31, 2011; revised November 10, 2011; accepted November 10, 2011. Date of publication January 31, 2012; date of current version April 06, 2012. This work was supported by ERC, Inc., under PO RS080704 in collaboration with the Aerospace Corporation. S. D. Gedney and J. C. Young are with the Department of Electrical and Computer Engineering, University of Kentucky, Lexington, KY 40506-0046 USA (e-mail: [email protected]; [email protected]). T. C. Kramer and J. A. Roden are with The Aerospace Corporation, Chantilly, VA 20151 USA (e-mail: [email protected]; [email protected]). Color versions of one or more of the figures in this paper are available online at http://ieeexplore.ieee.org. Digital Object Identifier 10.1109/TAP.2012.2186273

Funders	Funder number
Aerospace Corporation
ERC, Inc.	PO RS080704

Keywords

Discontinuous Galerkin methods
electromagnetic propagation in dispersive media
finite element time-domain
high-order methods

ASJC Scopus subject areas

Electrical and Electronic Engineering

Access to Document

10.1109/TAP.2012.2186273

Cite this

@article{d050bdbcf3f44fd4bbac365eb446b1d3,

title = "A discontinuous Galerkin finite element time-domain method modeling of dispersive media",

abstract = "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.",

keywords = "Discontinuous Galerkin methods, electromagnetic propagation in dispersive media, finite element time-domain, high-order methods",

author = "Gedney, {Stephen D.} and Young, {John C.} and Kramer, {Tyler C.} and Roden, {J. Alan}",

note = "Funding Information: Manuscript received August 31, 2011; revised November 10, 2011; accepted November 10, 2011. Date of publication January 31, 2012; date of current version April 06, 2012. This work was supported by ERC, Inc., under PO RS080704 in collaboration with the Aerospace Corporation. S. D. Gedney and J. C. Young are with the Department of Electrical and Computer Engineering, University of Kentucky, Lexington, KY 40506-0046 USA (e-mail: [email protected]; [email protected]). T. C. Kramer and J. A. Roden are with The Aerospace Corporation, Chantilly, VA 20151 USA (e-mail: [email protected]; [email protected]). Color versions of one or more of the figures in this paper are available online at http://ieeexplore.ieee.org. Digital Object Identifier 10.1109/TAP.2012.2186273",

year = "2012",

month = apr,

doi = "10.1109/TAP.2012.2186273",

language = "English",

volume = "60",

pages = "1969--1977",

number = "4",

}

TY - JOUR

T1 - A discontinuous Galerkin finite element time-domain method modeling of dispersive media

AU - Gedney, Stephen D.

AU - Young, John C.

AU - Kramer, Tyler C.

AU - Roden, J. Alan

N1 - Funding Information: Manuscript received August 31, 2011; revised November 10, 2011; accepted November 10, 2011. Date of publication January 31, 2012; date of current version April 06, 2012. This work was supported by ERC, Inc., under PO RS080704 in collaboration with the Aerospace Corporation. S. D. Gedney and J. C. Young are with the Department of Electrical and Computer Engineering, University of Kentucky, Lexington, KY 40506-0046 USA (e-mail: [email protected]; [email protected]). T. C. Kramer and J. A. Roden are with The Aerospace Corporation, Chantilly, VA 20151 USA (e-mail: [email protected]; [email protected]). Color versions of one or more of the figures in this paper are available online at http://ieeexplore.ieee.org. Digital Object Identifier 10.1109/TAP.2012.2186273

PY - 2012/4

Y1 - 2012/4

N2 - 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.

AB - 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.

KW - Discontinuous Galerkin methods

KW - electromagnetic propagation in dispersive media

KW - finite element time-domain

KW - high-order methods

UR - http://www.scopus.com/inward/record.url?scp=84859799546&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84859799546&partnerID=8YFLogxK

U2 - 10.1109/TAP.2012.2186273

DO - 10.1109/TAP.2012.2186273

M3 - Article

AN - SCOPUS:84859799546

SN - 0018-926X

VL - 60

SP - 1969

EP - 1977

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

IS - 4

M1 - 6142027

ER -

A discontinuous Galerkin finite element time-domain method modeling of dispersive media

Abstract

Bibliographical note

Funding

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this