Analysis of Convolution Quadrature Applied to the Time-Domain Electric Field Integral Equation

被引：25

作者：

Chen, Q. ^{[1
]}

Monk, P. ^{[1
]}

Wang, X. ^{[2
]}

Weile, D. ^{[2
]}

机构：

[1] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA

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

来源：

COMMUNICATIONS IN COMPUTATIONAL PHYSICS | 2012年 / 11卷 / 02期

基金：

美国国家科学基金会;

关键词：

Electromagnetism; scattering; time-domain; integral equation; EFIE; convolution quadrature; multistep method; BOUNDARY-ELEMENT METHODS; SCATTERING; DISCRETIZATION;

D O I：

10.4208/cicp.121209.111010s

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show how to apply convolution quadrature (CQ) to approximate the time domain electric field integral equation (EFIE) for electromagnetic scattering. By a suitable choice of CQ, we prove that the method is unconditionally stable and has the optimal order of convergence. Surprisingly, the resulting semi discrete EFIE is dispersive and dissipative, and we analyze this phenomena. Finally, we present numerical results supporting and extending our convergence analysis.

引用

页码：383 / 399

页数：17

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