Implicit Runge-Kutta Methods for the Discretization of Time Domain Integral Equations

被引：23

作者：

Wang, Xiaobo ^{[1
]}

Weile, Daniel S. ^{[1
]}

机构：

[1] Univ Delaware, Dept Elect & Comp Engn, Newark, DE 19716 USA

来源：

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2011年 / 59卷 / 12期

基金：

美国国家科学基金会;

关键词：

Computational electromagnetics; integral equations; Runge-Kutta methods; time domain scattering; TRANSIENT ELECTROMAGNETIC SCATTERING; TEMPORAL BASIS FUNCTION; VECTOR BASES; SCHEME; RADIATION; SURFACES;

D O I：

10.1109/TAP.2011.2165469

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：

Implicit Runge-Kutta based schemes are proposed for solving the time domain integral equations of electromagnetic theory. The proposed technique maps a Laplace-domain equation to a Z-domain equation using the Butcher tableau of the implicit Runge-Kutta scheme. A discrete time domain system is recovered by computing the inverse Z-transform numerically. The resulting technique is capable of third- or fifth-order accuracy in time, and is stable independent of time step. Numerical results illustrate the accuracy and stability of the technique.

引用

页码：4651 / 4663

页数：13

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