R. 1. Babu?ka and B. Q. Guo, The h, p and h-p version of the finite element method; basis theory and applications, Advances in Engineering Software, vol.15, issue.3-4, pp.159-174, 1992.
DOI : 10.1016/0965-9978(92)90097-Y

J. T. Chen, S. Y. Lin, K. H. Chen, and I. L. Chen, Mathematical analysis and numerical study of true and spurious eigenequations for free vibration of plates using realpart BEM, Computational Mechanics, vol.34, pp.165-180, 2004.

C. J. Alves and P. R. Antunes, The method of fundamental solutions applied to the calculation of eigensolutions for 2D plates, International Journal for Numerical Methods in Engineering, vol.13, issue.1, pp.177-194, 2009.
DOI : 10.1002/nme.2404

S. W. Kang and J. M. Lee, FREE VIBRATION ANALYSIS OF ARBITRARILY SHAPED PLATES WITH CLAMPED EDGES USING WAVE-TYPE FUNCTIONS, Journal of Sound and Vibration, vol.242, issue.1, pp.9-26, 2001.
DOI : 10.1006/jsvi.2000.3347

L. Fox, P. Henrici, and C. Moler, Approximations and Bounds for Eigenvalues of Elliptic Operators, SIAM Journal on Numerical Analysis, vol.4, issue.1, pp.89-102, 1967.
DOI : 10.1137/0704008

S. Eisenstat, On the Rate of Convergence of the Bergman???Vekua Method for the Numerical Solution of Elliptic Boundary Value Problems, SIAM Journal on Numerical Analysis, vol.11, issue.3, pp.654-680, 1974.
DOI : 10.1137/0711053

T. Betcke and L. Trefethen, Reviving the Method of Particular Solutions, SIAM Review, vol.47, issue.3, pp.469-491, 2005.
DOI : 10.1137/S0036144503437336

A. H. Barnett, Dissipation in Deforming Chaotic Billiards, 2000.

I. N. Vekua, New methods for solving elliptic equations, 1967.

P. Henrici, A survey of I. N. Vekua's theory of elliptic partial differential equations with analytic coefficients, Zeitschrift für Angewandte Mathematik und Physik (ZAMP), pp.169-203, 1007.
DOI : 10.1007/BF01600500

A. Moiola, R. Hiptmair, and I. Perugia, Vekua theory for the Helmholtz operator, Zeitschrift für Angewandte Mathematik und Physik (ZAMP), pp.779-807, 2011.
DOI : 10.1007/s00033-011-0142-3

J. Melenk, Operator adapted spectral element methods I: harmonic and generalized harmonic polynomials, Numerische Mathematik, vol.84, issue.1, pp.35-69, 1999.
DOI : 10.1007/s002110050463

A. Moiola, R. Hiptmair, and I. Perugia, Plane wave approximation of homogeneous Helmholtz solutions, Zeitschrift für Angewandte Mathematik und Physik (ZAMP), pp.809-837
DOI : 10.1007/s00033-011-0147-y

A. Moiola, R. Hiptmair, and I. Perugia, Approximation by plane waves, 2009.

M. Géradin and D. Rixen, Mechanical vibrations: theory and application to structural dynamics, 1997.

A. Leissa, Vibration of Plates, 1969.

J. Descloux and M. Tolley, An accurate algorithm for computing the eigenvalues of a polygonal membrane, Computer Methods in Applied Mechanics and Engineering, vol.39, issue.1, pp.37-53, 1983.
DOI : 10.1016/0045-7825(83)90072-5

T. Betcke, Numerical computation of eigenfunctions of planar regions, 2005.

C. Vanmaele, D. Vandepitte, and W. Desmet, An efficient wave based prediction technique for dynamic plate bending problems with corner stress singularities, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.30-32, pp.2227-2245, 2009.
DOI : 10.1016/j.cma.2009.01.015

G. Chardon, A. Cohen, and L. Daudet, Approximation of solutions to the Helmholtz equation from scattered data
URL : https://hal.archives-ouvertes.fr/hal-00770154