Computation of Electrostatic Field near Three-Dimensional Corners and Edges
Abstract
Theoretically, the electric field becomes infinite at corners of two and three dimensions and edges of three dimensions. Conventional finite-element and boundary element methods do not yield satisfactory results at close proximity to these singular locations. In this paper, we describe the application of a fast and accurate BEM solver (which usesexact analytic expressions to compute the effect of source distributions on flatsurfaces) to compute the electric field near three-dimensional corners and edges. Results have been obtained for distances as close as 1 near the corner/edge and good agreement has been observed between the present results and existing analytical solutions.
Cite
@article{arxiv.physics/0604033,
title = {Computation of Electrostatic Field near Three-Dimensional Corners and Edges},
author = {N. Majumdar and S. Mukhopadhyay},
journal= {arXiv preprint arXiv:physics/0604033},
year = {2011}
}
Comments
Presented in International Conference on Computational and Experimental Engineering and Sciences held at IIT Madras, Chennai, India, during 1-6 December, 2005