A stability analysis of a time marching scheme for the general surface electric field integral equation

被引：30

作者：

Davies, PJ ^{[1
]}

机构：

[1] Univ Strathclyde, Dept Math, Glasgow G1 1XH, Lanark, Scotland

来源：

APPLIED NUMERICAL MATHEMATICS | 1998年 / 27卷 / 01期

关键词：

electric field integral equation; mixed finite elements; stability;

D O I：

10.1016/S0168-9274(97)00107-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a stability analysis of a mixed finite element approximation of the time dependent electric field integral equation which is used to compute the current induced on a perfect conductor by a transient electric field. The analysis shows that the solution has fast growing unstable modes that are due to a combination of the finite element basis functions and the integral quadrature rule. These modes cannot be removed by standard time averaging methods, but they can be eliminated by averaging in space appropriately. (C) 1998 IMACS/Elsevier Science B.V.

引用

页码：33 / 57

页数：25

共 18 条

[11] AN ALTERNATIVE VERSION OF THE TIME-DOMAIN ELECTRIC-FIELD INTEGRAL-EQUATION FOR ARBITRARILY-SHAPED CONDUCTORS [J].

RAO, SM ;

SARKAR, TK .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1993, 41 (06) :831-834

[12]

Raviart P.A., 1977, LECT NOTES MATH, V606, P292, DOI DOI 10.1007/BFB0064470

[13]

Richtmyer R. D., 1967, Difference Methods for Initial-Value Problems

[14]

ROBERTS JE, 1991, HDB NUMERICAL ANAL, V2

[15]

RYNNE BP, 1991, J ELECTROMAGNET WAVE, V5, P93

[16] STABILITY OF TIME MARCHING ALGORITHMS FOR THE ELECTRIC-FIELD INTEGRAL-EQUATION [J].

RYNNE, BP ;

SMITH, PD .

JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS, 1990, 4 (12) :1181-1205

[17] A STABLE PROCEDURE TO CALCULATE THE TRANSIENT SCATTERING BY CONDUCTING SURFACES OF ARBITRARY SHAPE [J].

VECHINSKI, DA ;

RAO, SM .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1992, 40 (06) :661-665

[18] GRID MODIFICATION FOR THE WAVE-EQUATION WITH ATTENUATION [J].

YANG, DQ .

NUMERISCHE MATHEMATIK, 1994, 67 (03) :391-401

← 1 2 →