Author(s)

N. Kamiya, S.-T. Wu & Y. Ikeda

Abstract

The well-known Trefftz scheme is applied to the formulation of the Helmholtz equation for eigenvalue determination. Both direct and indirect methods are employed for two-dimensional problems with homogeneous Dirichlet, Neumann and mixed boundary conditions. The unknown eigenvalue included implicitly in the T-complete series of Trefftz functions is separated by their series expansion. The final eigenvalue problem is formulated as of the generalized-type, which can be solved by using existing subroutine as a blackbox. Introduction The Trefftz method, according to classification of numerical methods by Col- latz[l], belongs to the boundary-type solutions; i.e., using a series of functions satisfying the governing field equation

Keywords