Discontinuous Galerkin Methods for Electromagnetic Waves in Dispersive Media

被引：1

作者：

Hagstrom, Thomas ^{[1
]}

Appelo, Daniel ^{[2
]}

Zhang, Lu ^{[3
]}

机构：

[1] Southern Methodist Univ, Dept Math, Dallas, TX 75205 USA

[2] Michigan State Univ, Dept Math, Dept Computat Math Sci & Engn, E Lansing, MI 48824 USA

[3] Columbia Univ, Dept Appl Phys & Appl Math, New York, NY USA

来源：

2021 INTERNATIONAL APPLIED COMPUTATIONAL ELECTROMAGNETICS SOCIETY SYMPOSIUM (ACES) | 2021年

关键词：

dispersive media; discontinuous Galerkin methods; rational approximation; APPROXIMATION; FORMULATION;

D O I：

10.1109/ACES53325.2021.00067

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：

We consider numerical methods for Maxwell's equations in general linear dispersive media. First, we use standard energy techniques to prove stability for discontinuous Galerkin methods applied to both first-order and second-order formulations. Second, we discuss the general representation of the polarization kernel by rational functions in continued fraction form.

引用

页数：4

共 27 条

[1]

[Anonymous], 1948, Analytic Theory of Continued Fractions

[2]

Appelo D., ENERGY BASED D UNPUB, V2021

[3]

Appelo D., 2021, ENERGY BASED D UNPUB

[4] A NEW DISCONTINUOUS GALERKIN FORMULATION FOR WAVE EQUATIONS IN SECOND-ORDER FORM [J].