Heriot-Watt Mathematics Report Series
HWM00-4, 13 Mar 2000
Accurate and efficient algorithms for frequency domain scattering from a thin wire
P J Davies, D B Duncan and S A Funken
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.
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Publication
P J Davies, D B Duncan, S A Funken
, Accurate and efficient algorithms for frequency domain scattering from a thin wire, Journal of Computational Physics, 168, 155-183, (2001).
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