Davies, P.J. and Duncan, D.B. and Funken, S.A. (2001) Accurate and efficient algorithms for frequency domain scattering from a thin wire. Journal of Computational Physics, 168 (1). pp. 155-183. ISSN 0021-9991Full text not available in this repository. (Request a copy from the Strathclyde author)
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.
|Keywords:||algorithms, frequency domain scattering, computational physics, Mathematics, Physics and Astronomy (miscellaneous), Computer Science Applications|
|Subjects:||Science > Mathematics|
|Department:||Faculty of Science > Mathematics and Statistics|
|Depositing user:||Strathprints Administrator|
|Date Deposited:||13 Jan 2007|
|Last modified:||06 Jan 2017 03:05|