{
  "annotation_id": "cbea3e9a-2176-425a-9817-260fc96a0d73",
  "date_created": "2026-03-02T18:01:07.659000Z",
  "date_modified": "2026-03-02T18:01:07.659000Z",
  "file_hash": "34cb55c5efed96dd6afbe55584cb5d7a4be174bfa9cf911851a6af3451716704",
  "private": false,
  "record": {
    "abstract": "Theoretically, the electric field becomes infinite at corners of two and\nthree dimensions and edges of three dimensions. Conventional finite-element and\nboundary element methods do not yield satisfactory results at close proximity\nto these singular locations. In this paper, we describe the application of a\nfast and accurate BEM solver (which usesexact analytic expressions to compute\nthe effect of source distributions on flatsurfaces) to compute the electric\nfield near three-dimensional corners and edges. Results have been obtained for\ndistances as close as 1$\\mu m$ near the corner/edge and good agreement has been\nobserved between the present results and existing analytical solutions.",
    "arxiv_id": "physics/0604033",
    "authors": [
      "N. Majumdar",
      "S. Mukhopadhyay"
    ],
    "categories": [
      "physics.comp-ph",
      "physics.gen-ph"
    ],
    "doi": "10.1016/j.orgel.2011.09.023",
    "title": "Computation of Electrostatic Field near Three-Dimensional Corners and   Edges",
    "url": "https://arxiv.org/abs/physics/0604033"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "715977f6-54f4-484b-b98d-56638e07edaa",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}