M. Abramowitz and I. Stegun, Handbook of Mathematical Functions, Graphs and Mathematical Tables, 1972.

B. Belgacem and F. , The mortar finite element method with {L}agrange multipliers, Numerische Mathematik, vol.84, pp.173-197, 1999.

C. Bernardi and Y. Maday, Approximations Spectrales de Probls aux limites elliptiques, 1992.

C. Bernardi, Y. Maday, and A. T. Patera, A new nonconforming approach to domain decomposition: the mortar element method, Nonlinear Partial Differential Equations and Their Applications, pp.13-51, 1994.

M. G. Blyth and C. Pozrikidis, A Lobatto interpolation grid over the triangle, IMA J. of Appl. Math, vol.71, pp.153-169, 2006.

L. Bos, Bounding the Lebesgue functions for lagrange interpolation in a simplex, J. Approx. Theory, vol.38, pp.43-59, 1983.

L. Bos, On certain configurations of points in r n which are uniresolvent for polynomial interpolation, J. Approx. Theory, vol.64, pp.271-280, 1991.

L. Bos, M. A. Taylor, and B. A. Wingate, Tensor product Gauss-Lobatto points are fekete points for the cube, Math. Comput, vol.70, pp.1543-1547, 2001.

Y. Capdeville, E. Chaljub, J. Vilotte, and J. Montagner, Coupling the spectral element method with a modal solution for elastic wave propagation in global earth models, Geophys. J. Int, vol.152, pp.34-67, 2003.
URL : https://hal.archives-ouvertes.fr/insu-01400199

E. Chaljub, Y. Capdeville, and J. Vilotte, Solving elastodynamics in a fluid-solid heterogeneous sphere: a parallel spectral element approximation on non-conforming grids, J. Comput. Phys, vol.187, issue.2, pp.457-491, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00109457

Q. Chen and I. Babuska, Approximate optimal points for polynomial interpolation of real functions in an interval and in a triangle, Comput. Methods Appl. Mech. Engrg, vol.128, pp.405-417, 1995.

Q. Chen and I. Babuska, The optimal symmetrical points for polynomial interpolation or real functions in a tetrahedron, Comput. Methods Appl. Mech. Engrg, vol.137, pp.89-94, 1996.

A. De-hoop, A modification of cagniard's method for solving seismic pulse problems, Appl. Sci. Res, vol.8, pp.349-356, 1960.

M. O. Deville, P. F. Fischer, and E. H. Mund, Order Methods for Incompressible Fluid Flow, Cambridge Monographs on Applied and Computational Mathematics, 2002.

M. Dryja and O. B. Widlund, An additive variant of the Schwarz alternating method for the case of many subregions, Courant Inst. NYU, p.339, 1987.

M. Dubiner, Spectral methods on triangles and other domains, J. Sci. Comput, vol.6, pp.345-390, 1991.

E. Faccioli, F. Maggio, R. Paolucci, and A. Quarteroni, 2-D and 3-D elastic wave propagation by a pseudo-spectral domain decomposition method, J. of Seismol, vol.1, pp.237-251, 1997.

G. Festa and J. P. Vilotte, The Newmark scheme as velocity-stress time-staggering: an efficient PML implementation for spectral element simulations of elastodynamics, Geophys. J. Int, vol.161, pp.789-812, 2005.

P. Fisher, An overlapping Schwarz method for spectral element solution of the incompressible Navier-Stokes equations, J. Comput. Phys, vol.133, pp.84-101, 1997.

F. X. Giraldo and T. Warburton, A nodal triangle based spectral element method for the shallow water equations on the sphere, J. Comput. Phys, vol.207, pp.129-150, 2005.

D. Gottlieb and S. A. Orszag, Numerical Analysis of Spectral Methods: Theory and Applications, 1977.

W. Heinrichs, Improved Lebesgue constants in the triangle, J. Comput. Phys, vol.207, pp.625-638, 2005.

J. S. Hesthaven, From electrostatics to almost optimal nodal sets for polynomial interpolation in a simplex, SIAM J. Num. Anal, vol.35, issue.2, pp.655-676, 1998.

J. S. Hesthaven and C. H. Teng, Stable spectral methods on tetrahedral elements, SIAM J. Sci. Comput, vol.21, issue.6, pp.2352-2380, 2000.

J. A. Hudson and L. Knopoff, Transmission and reflection of a surface wave at a corner, part2: Rayleigh waves (theoretical), J. geophys. Res, vol.69, pp.281-289, 1964.

T. Hughes, The Finite Element Method, Linear Static and Dynamic Finite Element Analysis, 1987.

R. Jih, K. Mclaughlin, and Z. Der, Free-boundary conditions of arbitrary polygonal topography in a two-dimensional explicit elastic finitedifference scheme, Geophysics, vol.53, issue.8, pp.1045-1055, 1988.

C. Jing and R. Truell, Scattering of a plan longitudinal wave by a spherical obstacle in an isotropically elastic solid, J. Appl. Phys, vol.27, pp.1086-1097, 1956.

G. Karniadakis and S. Sherwin, Spectral/hp Element Methods for Continuum Fluid Dynamics, 1999.

D. Komatitsch and J. Tromp, Introduction to the spectral-element method for 3-D seismic wave propagation, Geophys. J. Int, vol.139, pp.806-822, 1999.
URL : https://hal.archives-ouvertes.fr/hal-00669065

D. Komatitsch and J. Tromp, A Perfectly Matched Layer absorbing boundary condition for the second-order seismic wave equation, Geophys. J. Int, vol.154, pp.146-153, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00669060

D. Komatitsch and J. P. Vilotte, The spectral-element method: an efficient tool to simulate the seismic response of 2-D and 3-D geological structures, Bull. seism. Soc. Am, vol.88, issue.2, pp.368-392, 1998.
URL : https://hal.archives-ouvertes.fr/hal-00669068

D. Komatitsch, J. P. Vilotte, R. Vai, J. M. Castillo-covarrubias, and F. J. Sánchez-sesma, The Spectral Element method for elastic wave equations: application to 2-D and 3-D seismic problems, Int. J. Numer. Meth. Engng, vol.45, pp.1139-1164, 1999.
URL : https://hal.archives-ouvertes.fr/hal-00669075

D. Komatitsch, C. Barnes, and J. Tromp, Wave propagation near a fluidsolid interface: a spectral element approach, Geophysics, vol.65, issue.2, pp.623-631, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00669051

D. Komatitsch, R. Martin, J. Tromp, M. A. Taylor, and B. A. Wingate, Wave propagation in 2-D elastic media using a spectral element method with triangles and quadrangles, J. Comput. Acoust, vol.9, issue.2, pp.703-718, 2001.
URL : https://hal.archives-ouvertes.fr/inria-00528424

D. Komatitsch, Q. Liu, J. Tromp, P. Süss, C. Stidham et al., Simulations of strong ground motion in the Los Angeles Basin based upon the spectral-element method, Bull. seism. Soc. Am, vol.99, pp.187-206, 2004.

T. Koorwinder and R. A. Askey, Two-variable analogues of the classical orthogonal polynomials, Theory and applications of special functions, pp.435-495, 1975.

H. Lamb, On the propagation of tremors over the surface of an elastic solid, Phil. Trans. R. Soc. Lond, Ser., A, vol.203, pp.1-42, 1904.

E. R. Lapwood, The transition of a Rayleigh pulse round a corner, Geophys. J, vol.4, pp.174-196, 1961.

Y. Liu, R. Wu, and C. F. Ying, Scattering of elastic waves by an elastic or viscoelastic cylinder, Geophys. J. Int, vol.142, issue.2, pp.439-460, 2000.

J. W. Lottes and P. Fisher, Hybrid multigrid/Schwarz algorithm for the spectral element method, J. Sci. Comput, vol.24, pp.45-78, 2005.

Y. Maday and A. T. Patera, Spectral element methods for the incompressible Navier-Stokes equations, State of the Art Survey in Computational Mechanics, pp.71-143, 1989.

F. Maggio, A. Quarteroni, and A. Tagliani, Spectral domain decomposition methods for the solution of elastic wave equations, Geophysics, issue.4, pp.1160-1174, 1996.

S. Orszag, Fourier series on spheres, Mon. Weather Rev, vol.102, issue.1, pp.56-75, 1974.

S. Orszag, Spectral methods for problems in complex geometries, J. Comput. Phys, vol.37, pp.70-92, 1980.

R. G. Owens, Spectral approximation on the triangle, Proc. R. Soc. Lond., A, vol.454, pp.857-872, 1998.

Y. Pao and C. Mow, Diffraction of Elastic Waves and Dynamic Stress Concentrations, 1973.

R. Pasquetti and F. Rapetti, Spectral element methods on triangles and quadrilaterals: comparisons and applications, J. Comput. Phys, vol.198, issue.1, pp.349-362, 2004.

R. Pasquetti, L. F. Pavarino, F. Rapetti, and E. Zampieri, Overlapping Schwarz preconditioners for Fekete spectral elements, Proc. of the 16th DDM Conf, 2005.

A. T. Patera, A spectral element method for fluid dynamics: laminar flow in a channel expansion, J. Comput. Phys, vol.54, pp.468-488, 1984.

E. Priolo, J. Carcione, and G. Seriani, Numerical simulation of interface waves by high-order spectral modeling techniques, J. Acoust. Soc. Am, vol.95, issue.2, pp.681-693, 1994.

J. Proriol, Sur une famille de polynomesà deux variables orthogonaux dans un triangle, C. R. Acad. Sci, vol.245, pp.2459-2461, 1957.

F. J. Sánchez-sesma, J. Ramos-martinez, and M. Campillo, An indirect boundary element method applied to simulate the seismic response of alluvial valleys for incident p, s and Rayleigh waves, Earthquake Eng. Struct. Dyn, vol.22, pp.279-295, 1993.

G. Seriani, E. Priolo, J. Carcione, and E. Padovani, High-order spectral element mehtod for elastic wave modeling, Expanded abstracts of the SEG, 62nd Int. Mtng of the SEG, 1992.

S. Sherwin and G. Karniadakis, A new triangular and tetrahedral basis for high-order finite element methods, Int. J. Numer. Meth. Engng, vol.38, issue.2, pp.3775-3802, 1995.

S. Sherwin and G. Karniadakis, A triangular spectral element method; applications to the incompressible Navier-Stokes equations, Comput. Methods Appl. Mech. Engrg, vol.123, pp.189-229, 1995.

S. Sherwin and G. Karniadakis, Tetrahedral hp finite elements: Algorithms and flow simulations, J. Comput. Phys, vol.124, pp.14-45, 1996.

J. Shewchuk, Triangle: Engineering a 2-D quality mesh generator and Delaunay triangulator, Applied Computational Geometry: Towards Geometric Engineering, pp.203-222, 1148.

M. A. Taylor and B. A. Wingate, A generalized diagonal mass matrix spectral element method for non-quadrilateral elements, Appl. Num. Math, vol.33, pp.259-265, 2000.

M. A. Taylor, B. A. Wingate, and R. E. Vincent, An algorithm for computing Fekete points in a triangle, SIAM J. Num. Anal, vol.38, issue.5, pp.1707-1720, 2000.

M. A. Taylor, B. A. Wingate, and L. P. Bos, A cardinal function algorithm for computing multivariate quadrature points, SIAM J. Num. Anal, 2005.

T. Warburton, S. Sherwin, and G. Karniadakis, Basis functions for triangular and quadrilateral high-order elements, SIAM J. Sci. Comput, vol.20, issue.5, pp.1671-1695, 1999.

T. Warburton, L. Pavarino, and J. S. Hesthaven, A pseudo-spectral scheme for the incompressible Navier-Stokes equations using unstructured nodal elements, J. Comput. Phys, vol.164, pp.1-21, 2000.

B. A. Wingate and J. P. Boyd, Triangular spectral element methods for geophysical fluid dynamics applications, Proc. 3rd Int. Conf. Spectral and High Order Methods, 1996.

O. Zienkewicz and R. Taylor, The Finite Element Method: V.2, Solid and fluid mechanics, 1989.