dorsal/arxiv
View SchemaDevelopment of a BEM Solver using Exact Expressions for Computing the Influence of Singularity Distributions
| Authors | S. Mukhopadhyay, N. Majumdar |
|---|---|
| Categories | |
| ArXiv ID | physics/0604034 |
| URL | https://arxiv.org/abs/physics/0604034 |
Abstract
Closed form expressions for three-dimensional potential and force field due to singularities distributed on a finite flat surface have been used to develop a fast and accurate BEM solver. The exact expressions have been investigated in detail and found to be valid throughout the complete physical domain. Thus, it has been possible to precisely simulate the complicated characteristics of the potential and force field in the near-field domain. The BEM solver has been used to compute the capacitance of a unit square plate and a unit cube. The obtained values have compared well with very accurate values of the capacitances available in the literature.
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"date_created": "2026-03-02T18:01:07.658000Z",
"date_modified": "2026-03-02T18:01:07.658000Z",
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"abstract": "Closed form expressions for three-dimensional potential and force field due\nto singularities distributed on a finite flat surface have been used to develop\na fast and accurate BEM solver. The exact expressions have been investigated in\ndetail and found to be valid throughout the complete physical domain. Thus, it\nhas been possible to precisely simulate the complicated characteristics of the\npotential and force field in the near-field domain. The BEM solver has been\nused to compute the capacitance of a unit square plate and a unit cube. The\nobtained values have compared well with very accurate values of the\ncapacitances available in the literature.",
"arxiv_id": "physics/0604034",
"authors": [
"S. Mukhopadhyay",
"N. Majumdar"
],
"categories": [
"physics.comp-ph",
"physics.gen-ph"
],
"title": "Development of a BEM Solver using Exact Expressions for Computing the Influence of Singularity Distributions",
"url": "https://arxiv.org/abs/physics/0604034"
},
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"source": {
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"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
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