The Time domain integral equation for a straight wire antenna with the reduced kernel is not well-posed

Davies, P.J. and Zubik-Kowal, B. and Rynne, B.P. (2002) The Time domain integral equation for a straight wire antenna with the reduced kernel is not well-posed. IEEE Transactions on Antennas and Propagation, 50 (8). pp. 1165-1166. ISSN 0018-926X (http://dx.doi.org/10.1109/TAP.2002.800702)

Abstract

We show that the Pocklington integral equation for time-domain scattering from thin-wire antennas is not mathematically well-posed. This has considerable implications for numerical solution schemes. In particular, our argument explains the observed occurrence of rapidly oscillating errors in numerical solutions as the numerical grid sizes are reduced.

ORCID iDs

Davies, P.J. ORCID: https://orcid.org/0000-0001-7000-1883

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• Item metadata

  Item type:	Article
  ID code:	2064
  Dates:	Date Event 2002 Published
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics Unknown Department
  Depositing user:	Strathprints Administrator
  Date deposited:	14 Jan 2007
  Last modified:	11 Nov 2024 08:21
  URI:	https://strathprints.strath.ac.uk/id/eprint/2064