Green関数による Helmholtz の方程式の固有値問題の数値解法

概要

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Eigenvalue problems by Helmholtz's differential eqution can be solved for case that the shape of boundary is easy to treat analytically. Monte Carlo method utilizing discrete random walk process is effective for case that the boundary is of arbitrary shape, but Monte Carlo solution has statistical fluctuation. In this paper,to improve the weak point mentioned above, the normal derivatives of Green function are calculated by using mass devision method, and then Green function is obtained. Eigenvalues are calculated form integral eqution, that is to calculate the eigenvalues of matrix of Green function. The matrix is symmetric, since the reciprocity of Green function. This method is useful to calculate random walk process. The authors show the several results of two dimensional eigenvalue problems using this method.
一般社団法人情報処理学会の論文
1968-05-15