新しい複素定式を用いた,境界要素法によるHelmholtz方程式の固有値解析 : 第1報,定式化

抄録

A new complex-valued formulation using an integral equation and a scheme for eigenvalue determination by boundary element method are presented for the Helmholtz equation. With help of similarity of the present formulation to the one by the Multiple Reciprocity boundary element method, unknown eigenvalues appear explicitly as polynomials in coefficient matrices, which facilitates recomputation of the determinant of the coefficient matrices. Eigenvalues are determined as local minima of the determinant mentioned above by the Newton iteration method. The advantage of the present method is discussed and demonstrated by simple example computations.