Acoustic Eigenvalue Analysis Using A Fast
Boundary Element Approach And A Contour
Integral Method
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)
Related Book
Other papers in this volume
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