# On the theoretical justification of Pocklington's equation

august, 2009

Publication type:

Paper in peer-reviewed journals

Journal:

Mathematical Models and Methods in Applied Sciences, vol. 19(8), pp. 1325-1355

HAL:

Abstract:

Pocklington's model consists in a one-dimensional integral equation relating the current at the surface of a straight finite wire to the tangential trace of an incident electromagnetic field. It is a simplification of the more usual single layer potential equation posed on a two-dimensional surface. We are interested in estimating the error between the solution of the exact integral equation and the solution of Pocklington's model. We address this problem for the model case of acoustics in a smooth geometry using results of asymptotic analysis.

BibTeX:

@article{Cla-2009, author={Xavier Claeys }, title={On the theoretical justification of Pocklington's equation }, doi={10.1142/S0218202509003802 }, journal={Mathematical Models and Methods in Applied Sciences }, year={2009 }, month={8}, volume={19(8) }, pages={1325--1355}, }