Explicit computation of the electrostatic energy for an elliptical charged disc. - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Applied Mathematics Letters Year : 2013

Explicit computation of the electrostatic energy for an elliptical charged disc.

Abstract

This letter describes a method for obtaining an explicit expression for the electrostatic energy of a charged elliptical infinitely thin disc. The charge distribution is assumed to be polynomial. Such explicit values for this energy are fundamental for assessing the accuracy of boundary element codes. The main tools used are an extension of Copson's method and a diagonalization, given by Leppington and Levine, of the single-layer potential operator associated with the electrostatic potential created by a distribution of charges on the elliptical disc.
Fichier principal
Vignette du fichier
elliptique.pdf (173.17 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00723234 , version 1 (08-08-2012)
hal-00723234 , version 2 (04-10-2012)

Identifiers

Cite

Sophie Laurens, Sébastien Tordeux. Explicit computation of the electrostatic energy for an elliptical charged disc.. Applied Mathematics Letters, 2013, 26 (2), pp.301-305. ⟨10.1016/j.aml.2012.09.013⟩. ⟨hal-00723234v2⟩
279 View
215 Download

Altmetric

Share

Gmail Facebook X LinkedIn More