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Bulletin of the Seismological Society of America; October 2005; v. 95; no. 5; p. 1916-1927; DOI: 10.1785/0120050012
© 2005 Seismological Society of America
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A Simple and Efficient Regularization Method for 3D BEM: Application to Frequency-Domain Elastodynamics

Patrick Dangla1, Jean-François Semblat2, Haihong Xiao2 and Nicolas Delépine2

1 LCPC/LMSCC
2 allée Kepler
77420 Champs-sur-Marne, France
 (P.D.)

2 LCPC
58 bd Lefebvre
75732 Paris Cedex 15, France
semblat@lcpc.fr
 (J.-F.S., H.X., N.D.)

An 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.




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