Abstract
In this paper we describe some recent mathematical results concerning Pocklington's integro-differential equation for the current induced on a straight, thin wire by an incident harmonic electromagnetic field. These results show that this equation is well-posed in suitable function spaces and describe the continuity and smoothness properties of the solution compared with the incident field. We also describe some new rigorous convergence results for a simple Galerkin type numerical solution method for the equation.
| Original language | English |
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| Pages (from-to) | 1489-1503 |
| Number of pages | 15 |
| Journal | Journal of Electromagnetic Waves and Applications |
| Volume | 14 |
| Issue number | 11 |
| Publication status | Published - 2000 |