WIT Press


Acoustic Eigenvalue Analysis Using A Fast Boundary Element Approach And A Contour Integral Method

Price

Free (open access)

Paper DOI

10.2495/BEM360331

Volume

56

Pages

11

Page Range

405 - 415

Published

2014

Size

245 kb

Author(s)

C.-J. Zheng, H.-F. Gao, T. Matsumoto & H.-B. Chen

Abstract

In this paper, a contour integral method called the block Sakurai–Sugiura (SS) method is implemented to solve eigenvalue problems governed by the Helmholtz equation and formulated through the boundary element method. In the SS method, the nonlinear eigenvalue problem is converted into a standard linear eigenvalue problem, and eigenvalues whose multiplicity is larger than one can also be extracted by using the block version of the SS method. In order to solve the boundary element linear equations with multiple right-hand sides efficiently, a block IDR(s) solver and an adaptive cross approximation are employed to improve the overall computational efficiency. Numerical examples are given to demonstrate the accuracy and effectiveness of the proposed method. Keywords: eigenvalue analysis, contour integral, boundary element method, adaptive cross approximation, block IDR(s).

Keywords

eigenvalue analysis, contour integral, boundary element method, adaptive cross approximation, block IDR(s)