Author(s)

N. Kamiya & E. Andoh

Abstract

Eigenvalue analysis schemes and boundary formulations: recent developments N. Kamiya, E. Andoh Department of Informatics and Natural Science, School of Informatics and Sciences, Nagoya University, Nagoya 464-01, Japan INTRODUCTION This paper reviews various "boundary-type" eigenvalue determination schemes for the Helmholtz equation developed recently. The boundary-type numerical solution procedures, the boundary element method (BEM) is the most typical, have various advantages over the domain-type procedures such as the finite element and finite difference methods. Conspicuous one among others is less dimensionality of the solution space because boundary is only discretized for analysis. As is known previously, however, they are necessarily be convenient for the "eigenvalue analysis". The reason for the inconvenience is low compu-tational efficiency owing to direct determinant zero-point search for the eigenvalue determination. Complicated integration over boundary elements

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