Time-marching numerical schemes for the electric field integral equation on a straight thin wire

Penny J. Davies, Dugald B. Duncan

Research output: Contribution to journalArticle

Abstract

We derive and analyse four algorithms for computing the current induced on a thin straight wire by a transient electric field. They all involve solving the thin wire electric field integral equations (EFIEs) and consist of a very accurate differential equations solver together with various schemes to approximate the vector potential integral equation. We carry out a rigorous numerical stability analysis of each of these methods. This has not previously been done for solution schemes for the thin wire EFIEs. Each scheme is shown to be stable and convergent provided the radius of the wire is small enough for the thin wire equations to be a valid model. © 1994 J.C. Baltzer AG, Science Publishers.

Original languageEnglish
Pages (from-to)279-317
Number of pages39
JournalAdvances in Computational Mathematics
Volume2
Issue number3
DOIs
Publication statusPublished - Apr 1994

Keywords

  • accuracy
  • AMS(MOS) subject classification: 65M10, 65M25, 65R20, 78A45
  • convergence
  • Electric field integral equation
  • method of moments
  • stability
  • thin wire
  • time-marching

Fingerprint Dive into the research topics of 'Time-marching numerical schemes for the electric field integral equation on a straight thin wire'. Together they form a unique fingerprint.

  • Cite this