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A variational approach to boundary elements—two dimensional Helmholtz problems

✍ Scribed by Y. Kagawa; Y. Sun; L. Chai

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
269 KB
Volume
16
Category
Article
ISSN
0894-3370

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✦ Synopsis

Abstract

The boundary element method is a discretized version of the boundary integral equation method. The variational formulation is presented for the boundary element approach to Helmholtz problems. The numerical calculation of the eigenvalues in association with hollow waveguides demonstrates that the variational approach provides the upper and lower bounds of the eigenvalues.

The drawback of the discretized system equation must be solved by a trial and error approach, which is shown to be removed by the introduction of the dual reciprocity method. Copyright © 2003 John Wiley & Sons, Ltd.

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