Study on the true and spurious eigensolutions of two-dimensional cavities using the dual multiple reciprocity method.

DOI10.1016/S0955-7997(03)00019-5zbMath1060.76601OpenAlexW2135276107MaRDI QIDQ1429454

D. Massart

Publication date: 27 May 2004

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0955-7997(03)00019-5

zbMATH Keywords

circular cavityHelmholtz equation

Mathematics Subject Classification ID

Boundary element methods applied to problems in fluid mechanics (76M15) Hydro- and aero-acoustics (76Q05)

Related Items (3)

Eigensolutions of the Helmholtz equation for a multiply connected domain with circular boundaries using the multipole Trefftz method ⋮ On the spurious eigensolutions for the real-part boundary element method ⋮ Dual reciprocity boundary element method for flexural waves in thin plate with cutout

Cites Work

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• Dual boundary element analysis of wave scattering from singularities
• Determination of the natural frequencies and natural modes of a rod using the dual BEM in conjunction with the domain partition technique
• Determination of spurious eigenvalues and multiplicities of true eigenvalues using the real-part dual BEM
• Dual integral formulation for determining the acoustic modes of a two-dimensional cavity with a degenerate boundary.
• Applications of dual MRM for determining the natural frequencies and natural modes of an Euler-Bernoulli beam using the singular value decomposition method
• Calculation of eigenvalues of the Helmholtz equation by an integral equation
• A simplified integral equation method for the calculation of the eigenvalues of Helmholtz equation
• Analytical study and numerical experiments for true and spurious eigensolutions of a circular cavity using the real-part dual BEM
• The application of integral equation methods to the numerical solution of some exterior boundary-value problems

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