A Simple and Efficient Regularization Method for 3D BEM: Application to Frequency-Domain Elastodynamics

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dc.creatorDangla, Patrick
dc.creatorSemblat, Jean-François
dc.creatorXiao, H.
dc.creatorDelépine, Nicolas
dc.date2009-01-23
dc.date.accessioned2026-07-07T12:33:45Z
dc.date.available2026-07-07T12:33:45Z
dc.descriptionAn efficient and easy-to-implement method is proposed to regularize integral equations in the 3D boundary element method (BEM). The method takes advantage of an assumed three-noded triangle discretization of the boundary surfaces. The method is based on the derivation of analytical expressions of singular integrals. To demonstrate the accuracy of the method, three elastodynamic problems are numerically worked out in the frequency domain: a cavity under harmonic pressure, diffraction of a plane wave by a spherical cavity, and amplification of seismic waves in a semispherical alluvial basin (the second one is also investigated in the time domain). The numerical results are compared to semi-analytical solutions; a close agreement is found for all problems, showing the accuracy of the proposed method.
dc.identifierhttps://arxiv.org/abs/0901.3710
dc.identifierhttp://arxiv.org/abs/0901.3710
dc.identifierBulletin of the Seismological Society of America 95, 5 (2005) 1916-1927
dc.identifierdoi:10.1785/0120050012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217241
dc.subjectClassical Physics
dc.titleA Simple and Efficient Regularization Method for 3D BEM: Application to Frequency-Domain Elastodynamics
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