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 0021-9991

## 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.

Item type: | Article |
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ID code: | 2014 |

Keywords: | algorithms, frequency domain scattering, computational physics, Mathematics |

Subjects: | Science > Mathematics |

Department: | Faculty of Science > Mathematics and Statistics |

Related URLs: | |

Depositing user: | Strathprints Administrator |

Date Deposited: | 13 Jan 2007 |

Last modified: | 12 Mar 2012 10:37 |

URI: | http://strathprints.strath.ac.uk/id/eprint/2014 |

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