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 wireThis 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
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