Author(s)

N. Kamiya & E. Andoh

Abstract

Boundary element eigenvalue analysis by standard routine N. Kamiya, E. Andoh Department of Mechano-Informatics and Systems Engineering, Nagoya University, Nagoya 464'01, Japan ABSTRACT This paper presents a method for determining eigenvalues of the Helmholtz equation by using "standard subroutine". The formu- lation is based on the boundary integral equation with a help of Multiple Reciprocity Method (MRM). The resulting polynomial coefficient matrix is shown to be transformed into the standard- type eigenvalue problem. Following the proposed scheme, we can obtain eigenvalues by "boundary discretization" using boundary elements and "standard eigenvalue determination routine" offered as blackbox. INTRODUCTION The ordinary boundary element formulation for analyzing eigen- values of the Helmholtz equation using its fundamental solution yields coefficient matrices including unknown eigenvalue impli- citly (called A-matri

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