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Trefftz boundary formulation for obtaining generalized eigenvalue problem of the Helmholtz equation

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 ... Pages: 10 Size: 639 kb Paper DOI: 10.2495/BE940201

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