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Analytical study and numerical experiments for true and spurious eigensolutions of a circular cavity using the real-part dual BEM. (English) Zbl 1021.76034
The aim is to predict analytically where spurious eigenvalues will occur and how the spurious eigenmodes will behave if only the singular or hypersingular integral equation is used in the multiple reciprocity method. Numerical experiments using the real part dual boundary element method (BEM) are performed for comparison. The real part dual BEM is employed to solve the acoustic problem for a circular cavity. After assembling the dual equations, the singular value decomposition technique is used to filter out spurious eigenvalues for two-dimensional cavities. Two examples for a circular domain, including Dirichlet and Neumann problems, are employed to validate the proposed method.
Reviewer: N.S.Mera (Leeds)

76M15 Boundary element methods applied to problems in fluid mechanics
76Q05 Hydro- and aero-acoustics
Full Text: DOI
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