On the behaviour of time discretisations of the electric field integral equation

Penny J. Davies, Dugald B. Duncan

Research output: Contribution to journalArticle

Abstract

We derive a separation of variables solution for time-domain electromagnetic scattering from a perfectly conducting infinite flat plate. The time dependent part of the equations are then used as a model problem in order to study the effects of various time discretisations on the full scattering problem. We examine and explain how exponential and polynomial instabilities arise in the approximation schemes, and show that the time averaging which is often used in an attempt to stabilise solutions of the full problem acts to destabilise some of the schemes. Our results show that two of the time discretisations can produce good results when coupled with a space-exact approximation, and indicate that they will be useful when coupled with an accurate enough spatial approximation. © 2000 Elsevier Science Inc. All rights reserved.

Original languageEnglish
Pages (from-to)1-26
Number of pages26
JournalApplied Mathematics and Computation
Volume107
Issue number1
Publication statusPublished - Jan 2000

Fingerprint

Time Discretization
Electric Field
Integral Equations
Electromagnetic Scattering
Separation of Variables
Flat Plate
Scattering Problems
Approximation
Approximation Scheme
Averaging
Time Domain
Polynomial
Model

Keywords

  • Electromagnetic scattering
  • Numerical analysis
  • Retarded potential
  • Time-domain

Cite this

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On the behaviour of time discretisations of the electric field integral equation. / Davies, Penny J.; Duncan, Dugald B.

In: Applied Mathematics and Computation, Vol. 107, No. 1, 01.2000, p. 1-26.

Research output: Contribution to journalArticle

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