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

被引：69

作者：

Gedney, Stephen D. ^{[1
]}

Young, John C. ^{[1
]}

Kramer, Tyler C. ^{[2
]}

Roden, J. Alan ^{[2
]}

机构：

[1] Univ Kentucky, Dept Elect & Comp Engn, Lexington, KY 40506 USA

[2] Aerosp Corp, Chantilly, VA 20151 USA

来源：

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2012年 / 60卷 / 04期

关键词：

Discontinuous Galerkin methods; electromagnetic propagation in dispersive media; finite element time-domain; high-order methods; MAXWELLS EQUATIONS; ORDER; ELECTROMAGNETICS; DIFFERENCE;

D O I：

10.1109/TAP.2012.2186273

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

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.

引用

页码：1969 / 1977

页数：9

共 18 条

[1] High-order RKDG methods for computational electromagnetics [J].

Chen, MH ;

Cockburn, B ;

Reitich, F .

JOURNAL OF SCIENTIFIC COMPUTING, 2005, 22-3 (01) :205-226

[2]

Cockburn B., 2000, Lecture Notes in Computational Science and Engineering, V11

[3]

GEDNEY S, 2007, IEEE INT S EL COMP H

[4]

Gedney S. D., 2010, IEEE T ANTENNAS PROP, V58

[5]

Gedney SD, 2009, APPL COMPUT ELECTROM, V24, P129

[6]

Hesthaven JS, 2004, CMES-COMP MODEL ENG, V5, P395

[7]

Ji X, 2008, J COMPUT MATH, V26, P347

[8] High-order DGTD methods for dispersive Maxwell's equations and modelling of silver nanowire coupling [J].

Ji, Xia ;

Cai, Wei ;

Zhang, Pingwen .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2007, 69 (02) :308-325

[9] Time-domain finite-element modeling of dispersive media [J].

Jiao, D ;

Jin, JM .

IEEE MICROWAVE AND WIRELESS COMPONENTS LETTERS, 2001, 11 (05) :220-222

[10] DIRECT TIME INTEGRATION OF MAXWELL EQUATIONS IN LINEAR DISPERSIVE MEDIA WITH ABSORPTION FOR SCATTERING AND PROPAGATION OF FEMTOSECOND ELECTROMAGNETIC PULSES [J].

JOSEPH, RM ;

HAGNESS, SC ;

TAFLOVE, A .

OPTICS LETTERS, 1991, 16 (18) :1412-1414

← 1 2 →