Author(s): N. Kamiya, S.-T. Wu & Y. Ikeda
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.
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 ...
Size: 639 kb
Paper DOI: 10.2495/BE940201
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