A regularized boundary element method for stratified media Mathematical and numerical aspects of wave propagation phenomena, pp.660-668, 1991. ,
A fundamental solution due to a periodic point force in the interior of an elastic half-space, Earthquake Engineering & Structural Dynamics, vol.108, issue.1, pp.91-105, 1990. ,
DOI : 10.1002/eqe.4290190109
Boundary Integral Equation Method for Solids and Fluids, 1999. ,
A Nonlinear Optimization Procedure for Generalized Gaussian Quadratures, SIAM Journal on Scientific Computing, vol.32, issue.4, pp.1761-1788, 2010. ,
DOI : 10.1137/080737046
The multilevel fast multipole method for forward modelling the multiply scattered seismic surface waves, Geophys. J. Int, vol.167, pp.663-678, 2006. ,
A multi-level fast multipole BEM for 3-D elastodynamics in the frequency domain, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.49-50, pp.4233-4249, 2008. ,
DOI : 10.1016/j.cma.2008.04.024
URL : https://hal.archives-ouvertes.fr/hal-00276092
A wideband fast multipole method for the Helmholtz equation in three dimensions, Journal of Computational Physics, vol.216, issue.1, pp.300-325, 2006. ,
DOI : 10.1016/j.jcp.2005.12.001
Nonlinear Optimization, Quadrature, and Interpolation, SIAM Journal on Optimization, vol.9, issue.4, pp.901-223, 1999. ,
DOI : 10.1137/S1052623498349796
Computational soil-structure interaction Boundary element methods for soil-structure interaction, pp.61-125, 2004. ,
The Fast Multipole Method: Numerical Implementation, Journal of Computational Physics, vol.160, issue.1, pp.195-240, 2000. ,
DOI : 10.1006/jcph.2000.6451
Efficient fast multipole method for low-frequency scattering, Journal of Computational Physics, vol.197, issue.1, pp.341-363, 2004. ,
DOI : 10.1016/j.jcp.2003.12.002
Methods of numerical integration, 1975. ,
Theoretical aspects and numerical computation of the time-harmonic Green's function for an isotropic elastic half-plane with an impedance boundary condition, ESAIM: Mathematical Modelling and Numerical Analysis, vol.44, issue.4, pp.671-692, 2010. ,
DOI : 10.1051/m2an/2010020
II-Linear Theory, 1975. ,
III.???On a Quadrature Formula for Trigonometric Integrals., Proceedings of the Royal Society of Edinburgh, vol.49, pp.38-47, 1928. ,
DOI : 10.1017/S0370164600026262
The fast multipole method for solving integral equations ofthree-dimensional topography and basin problems, Geophysical Journal International, vol.140, issue.1, pp.198-210, 2000. ,
DOI : 10.1046/j.1365-246x.2000.00016.x
Tables of integrals, series and products (seventh edition), 2007. ,
Application of the multi-level time-harmonic fast multipole BEM to 3-D visco-elastodynamics, Engineering Analysis with Boundary Elements, vol.36, issue.5, pp.744-758, 2012. ,
DOI : 10.1016/j.enganabound.2011.11.015
URL : https://hal.archives-ouvertes.fr/hal-00645208
Accelerating fast multipole methods for the Helmholtz equation at low frequencies, IEEE Computational Science and Engineering, vol.5, issue.3, pp.32-38, 1998. ,
DOI : 10.1109/99.714591
A General Algorithm for Multidimensional Cauchy Principal Value Integrals in the Boundary Element Method, Journal of Applied Mechanics, vol.57, issue.4, pp.906-915, 1990. ,
DOI : 10.1115/1.2897660
On the stress-wave imaging of cavities in a semi-infinite solid, International Journal of Solids and Structures, vol.40, issue.6, pp.1505-1523, 2003. ,
DOI : 10.1016/S0020-7683(02)00650-9
URL : https://hal.archives-ouvertes.fr/hal-00092391
On the analysis of wave motions in a multi-layered solid, The Quarterly Journal of Mechanics and Applied Mathematics, vol.54, issue.1, pp.13-37, 2001. ,
DOI : 10.1093/qjmam/54.1.13
Calderon's preconditioning for periodic fast multipole method for elastodynamics in 3D, International Journal for Numerical Methods in Engineering, vol.61, issue.8, pp.484-505, 2012. ,
DOI : 10.1002/nme.3332
Seismic wave propagation in stratified media, Advances in Applied Mechanics, 1981. ,
Three-Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity, Journal of Applied Mechanics, vol.47, issue.1, 1979. ,
DOI : 10.1115/1.3153629
Dynamical problems in elasticity, Progress in solid mechanics, 1963. ,
Generalized Gaussian Quadrature Rules for Systems of Arbitrary Functions, SIAM Journal on Numerical Analysis, vol.33, issue.3, pp.971-996, 1996. ,
DOI : 10.1137/0733048
Interaction of a surface wave with a dislocation, Physical Review B, vol.75, issue.22, p.224112, 2007. ,
DOI : 10.1103/PhysRevB.75.224112
Fast multipole accelerated boundary integral equation methods, Applied Mechanics Reviews, vol.55, issue.4, pp.299-324, 2002. ,
DOI : 10.1115/1.1482087
Seismic soil-structure interaction analysis by direct boundary element methods, International Journal of Solids and Structures, vol.36, issue.31-32, pp.4743-4766, 1999. ,
DOI : 10.1016/S0020-7683(98)00263-7
Some efficient boundary integral strategies for time-harmonic wave problems in an elastic halfspace, Computer Methods in Applied Mechanics and Engineering, vol.164, issue.1-2, pp.207-221, 1998. ,
DOI : 10.1016/S0045-7825(98)00055-3
A boundary integral equation method for time-harmonic radiation and scattering in an elastic half-space Advance Topics in Boundary Element Analysis, ASME, pp.83-90, 1985. ,
Diagonal Forms of Translation Operators for the Helmholtz Equation in Three Dimensions, Applied and Computational Harmonic Analysis, vol.1, issue.1, pp.82-93, 1993. ,
DOI : 10.1006/acha.1993.1006
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems, SIAM Journal on Scientific and Statistical Computing, vol.7, issue.3, pp.856-869, 1986. ,
DOI : 10.1137/0907058
A fast BIEM for three-dimensional elastodynamics in time domain, Engineering Analysis with Boundary Elements, vol.28, issue.2, pp.165-180, 2004. ,
DOI : 10.1016/j.enganabound.2003.08.002
Generalized Gaussian Quadratures and Singular Value Decompositions of Integral Operators, SIAM Journal on Scientific Computing, vol.20, issue.2, pp.699-718, 1998. ,
DOI : 10.1137/S1064827596310779