A non-singular boundary integral equation for acoustic problems

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A weakly singular boundary integral equation and a non-singular one are derived for acoustic problems. By using the one-dimensional wave propagation mode, the degree of the singularities appearing in the conventional boundary integral equation can be reduced. Since the strong singularity is removed in the weakly singular equation, the jump term of the field pressure expression in the very vicinity of the boundary disappears. It is shown that the weak singularity can be also removed for a smooth boundary in the non-singular representation, and thus special treatments for singular integral are no longer needed. In order to test the proposed method, several simple problems have been solved by employing the triangular element with standard Gaussian quadrature integration points. The results obtained show the accuracy of the method in the near field as well as on the boundary. (C) 1996 Academic Press Limited
Publisher
ACADEMIC PRESS LTD
Issue Date
1996-04
Language
English
Article Type
Article
Keywords

PRINCIPAL VALUE INTEGRALS; ELEMENT METHOD; 3 DIMENSIONS; RADIATION; REPRESENTATION; FORMULATION; SCATTERING; KERNELS; WAVES

Citation

JOURNAL OF SOUND AND VIBRATION, v.192, no.1, pp.263 - 279

ISSN
0022-460X
URI
http://hdl.handle.net/10203/75741
Appears in Collection
ME-Journal Papers(저널논문)
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