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Performance of the BEM solution in 3D acoustic wave scattering

Tadeu, A. J. B.; Godinho, L.; Santos, P.

A fixed cylindrical circular cavity and a cylindrical circular column of fluid of infinite length submerged in a homogeneous fluid medium, and subjected to a pressure point source, for which closed form solutions are known, are used to assess the performance of constant, linear and quadratic boundary elements in the analysis of acoustic scattering. ; http://www.sciencedirect.com/science/article/B6V1P-43CB9CN...


Three-dimensional wave scattering by a fixed cylindrical inclusion submerged in...

Tadeu, A. J. B.; Godinho, L. M. C.

This paper presents the solution for a fixed cylindrical irregular cavity of infinite length submerged in a homogeneous fluid medium, and subjected to dilatational point sources placed at some point in the fluid. The solution is first computed for a wide range of frequencies and wavenumbers, which are then used to obtain time-series by means of (fast) inverse Fourier transforms into space-time. ; http://www....


Closed-form integration of singular terms for constant, linear and quadratic bo...

Tadeu, A. J. B.; Santos, P. F. A.; Kausel, E.

Part I of these two related papers considered the analytical evaluation of singular integrals for anti-plane boundary elements, the results of which were then applied to the evaluation of scattering problems involving SH waves. This second part provides an extension of these results to the more complicated case of in-plane boundary elements, and presents their application to scattering problems involving SV-P w...


Closed-form integration of singular terms for constant, linear and quadratic bo...

Tadeu, A. J. B.; Santos, P. F. A.; Kausel, E.

One of the most important aspects in the application of boundary element techniques to wave propagation problems is the accurate representation of the singular terms at the points of application of the virtual loads. It is current practice to carry out this task by means of numerical quadrature. This paper presents an analytical evaluation of the singular integrals for constant, linear and quadratic boundary el...


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