Abstract
In this paper we discuss a finite element approximation method for solving the Pocklington integro-differential equation for the current induced on a straight, thin wire by an incident harmonic electromagnetic field. We obtain an a posteriori error estimate for finite element approximations of the equation, and we prove the reliability of this estimate. The theoretical results are then used to motivate an adaptive mesh-refining algorithm which generates very efficient meshes and yields optimal convergence rates in numerical experiments. © WILEY-VCH Verlag Berlin GmbH.
Original language | English |
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Pages (from-to) | 284-288 |
Number of pages | 5 |
Journal | Zeitschrift für Angewandte Mathematik und Mechanik |
Volume | 82 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2002 |
Keywords
- A posteriori error estimate
- Electromagnetic scattering
- Finite element approximations
- Thin wire antennas