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 lip 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. (C) 2001 Academic Press.
thin wire numerical approximation exact kernel pocklington electromagnetic scattering