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Development of a BEM Solver using Exact Expressions for Computing the Influence of Singularity Distributions

Computational Physics 2007-05-23 v1 General Physics

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.

Keywords

Cite

@article{arxiv.physics/0604034,
  title  = {Development of a BEM Solver using Exact Expressions for Computing the Influence of Singularity Distributions},
  author = {S. Mukhopadhyay and N. Majumdar},
  journal= {arXiv preprint arXiv:physics/0604034},
  year   = {2007}
}

Comments

Presented in International Conference on Computational and Experimental Engineering and Sciences held at IIT Madras, Chennai, India during 1-6 December, 2005

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