Computation of Electrostatic Field near Three-Dimensional Corners and Edges

Details Computation of Electrostatic Field near Three-Dimensional Corners and Edges Computation of Electrostatic Field near Three-Dimensional Corners and Edges

2006-04-05

arxiv.org/abs/physics/0604033v1

Physics

Computational Physics

Presented in International Conference on Computational and Experimental Engineering and Sciences held at IIT Madras, Chennai,

Scientific paper

10.1016/j.orgel.2011.09.023

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$\mu m$ near the corner/edge and good agreement has been observed between the present results and existing analytical solutions.

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