Capacitances and singularities of the unit triangle, square, tetrahedron and cube
Author:
- 1 June 2004
- journal article
- Published by Emerald Publishing in COMPEL - The international journal for computation and mathematics in electrical and electronic engineering
- Vol. 23 (2) , 572-578
Abstract
The boundary element method has been used to obtain the electrical capacitances of the unit equilateral triangle, square, regular tetrahedron and cube. For each of these objects, a series of values of the number N of segments has been used and then empirical formulae have been used to extrapolate N to infinity. The singularities of the charge densities at the edges and corners of these objects can be characterised by power laws, the relevant exponents of which have also been determined.Keywords
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