A fast boundary element method for the two-dimensional Helmholtz Equation
β Scribed by Yi Yan
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 867 KB
- Volume
- 110
- Category
- Article
- ISSN
- 0045-7825
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## 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 demonstrate
In this paper, we present a new numerical formulation of solving the boundary integral equations reformulated from the Helmholtz equation. The boundaries of the problems are assumed to be smooth closed contours. The solution on the boundary is treated as a periodic function, which is in turn approxi
The standard "nite element method (FEM) is unreliable to compute approximate solutions of the Helmholtz equation for high wave numbers due to the dispersion, unless highly re"ned meshes are used, leading to unacceptable resolution times. The paper presents an application of the element-free Galerkin