Trefftz Boundary Formulation For Obtaining Generalized Eigenvalue Problem Of The Helmholtz Equation
Price
Free (open access)
Transaction
Volume
7
Pages
10
Published
1994
Size
639 kb
Paper DOI
10.2495/BE940201
Copyright
WIT Press
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
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