A 3-D Discontinuous Spectral Element Time-Domain Method for Maxwell's Equations

被引：47

作者：

Lee, Joon-Ho ^{[1
]}

Chen, Jiefu ^{[1
]}

Liu, Qing Huo ^{[1
]}

机构：

[1] Duke Univ, Dept Elect & Comp Engn, Durham, NC 27708 USA

来源：

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2009年 / 57卷 / 09期

关键词：

Block-diagonal mass matrix; discontinuous Galerkin's method; discontinuous spectral element time-domain method (SETD); Gauss-Lobatto-Legendre (GLL) polynomials; perfectly matched layers (PML); Runge-Kutta method; SIMULATIONS; ALGORITHM; PML;

D O I：

10.1109/TAP.2009.2027731

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 discontinuous spectral element time-domain method is proposed to analyze transient electromagnetic properties of general 3-D structures. This method is advantageous in that its mass matrices are block-diagonal due to the Gauss-Lobatto-Legendre polynomials, and it allows different orders of basis functions for each subdomain. The Riemann solver is employed in the boundary integral terms to communicate fields between adjacent subdomains. Perfectly matched layers are utilized to truncate the computational domain. Galerkin method is used for spatial discretization, and a fourth-order Runge-Kutta scheme is employed for the time integration. The validity of the proposed approach is demonstrated through several numerical examples of initial value problems and scattering problems.

引用

页码：2666 / 2674

页数：9

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