等角写像とDelaunay分割を応用したn本平行電線近傍の静電位解析

概要

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The purpose of this paper is to propose a new FEM based numerical calculation method that we can apply for the potential analysis around parallel n electric wires above the ground. The theme is basically the Dirichlet boundary problem for a semi-infinite region. Because it is difficult to divide the above semi-infinite region into finite elements, we transform the region into a concentric unit-annulus by the conformal mapping. The division of a region and also the numerical calculation are carried out here on the unit-annulus. The conformal mappings and Delaunay triangulation play important role to get the numerical solution. In order to obtain the solution, we have already proposed another method called alternating-method as in harmonic function theory in mathematics. And we confirmed the solutions obtained by two different numerical calculations are identical.
1999-12-15