00-14   Berichtsreihe des Mathematischen Seminars der Universität Kiel

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

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

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.

Mathematics Subject Classification (1991): 65R99, 78A50, 45J05

Keywords: thin wire, electromagnetic scattering, Pocklington, exact kernel, numerical approximation

Mail an Jens Burmeister
[Thu Feb 19 18:56:35 2009]
Impressum