✦ LIBER ✦
Accurate and Efficient Algorithms for Frequency Domain Scattering from a Thin Wire
✍ Scribed by Penny J. Davies; Dugald B. Duncan; Stefan A. Funken
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 221 KB
- Volume
- 168
- Category
- Article
- ISSN
- 0021-9991
No coin nor oath required. For personal study only.
✦ Synopsis
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.