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.

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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:	08 Apr 2024 15:21
  URI:	https://strathprints.strath.ac.uk/id/eprint/2064