Accurate and efficient algorithms for frequency domain scattering from a thin wire

Penny J. Davies, Dugald B. Duncan, Stefan A. Funken

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

This paper contains a systematic study of numerical approximations for solving the exact kernel form of Pocklington's integro-differential equation for the current induced on a thin wire by an incident time-harmonic electromagnetic field. We consider various Galerkin (h, p, hp, and adaptive h) and collocation schemes and show that a sensible hp refinement strategy provides a very efficient way to solve the problem. We also describe how the kernel (itself a difficult singular integral) can be evaluated reliably and efficiently. © 2001 Academic Press.

Original languageEnglish
Pages (from-to)155-183
Number of pages29
JournalJournal of Computational Physics
Volume168
Issue number1
DOIs
Publication statusPublished - 20 Mar 2001

Keywords

  • Electromagnetic scattering
  • Exact kernel
  • Numerical approximation
  • Pocklington
  • Thin wire

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