数式処理言語Mathematicaによるポテンシャル問題逆解析 : 代用電荷法の場合

概要

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A potential problem and its inverse solution are considered by Charge Simulation Method (CSM) with a symbolic computation procedure "Mathematica". The potential is described as an analytical function of some variables, the size of the field domain, the boundary conditions and the material values. It is shown that an inverse problem of the potential is easily carried out because symbolic function is analytic. Two examples of the inverse analysis of two dimensional potential problems are examined. First, a rectangular domain with width 2a is supposed to satisfy the Laplace's equation. The inverse problem that is to find width "a" which gives Φ(a)=0.5 at a certain point in the domain is considered. Second, a coaxial line problem is considered. The inverse problem is to find an optimal inner radius that minimizes the maximum electric field.
日本シミュレーション学会の論文
1995-12-15