J. M. Melenk and I. Babu?ka, The partition of unity finite element method: Basic theory and applications, Computer Methods in Applied Mechanics and Engineering, vol.139, issue.1-4, pp.289-314, 1996.
DOI : 10.1016/S0045-7825(96)01087-0

T. Huttunen, P. Monk, and J. P. Kaipio, Computational Aspects of the Ultra-Weak Variational Formulation, Journal of Computational Physics, vol.182, issue.1, pp.27-46, 2002.
DOI : 10.1006/jcph.2002.7148

E. Deckers, O. Atak, and W. Desmet, The wave based method: An overview of 15??years of research, Wave Motion, vol.51, issue.4, pp.550-565, 2014.
DOI : 10.1016/j.wavemoti.2013.12.003

C. Farhat, I. Harari, and L. Franca, The discontinuous enrichment method, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.48, pp.6455-6479, 2001.
DOI : 10.1016/S0045-7825(01)00232-8

URL : http://www-math.cudenver.edu/ccmreports/rep164.ps.gz

H. Riou, P. Ladevèze, and B. Sourcis, THE MULTISCALE VTCR APPROACH APPLIED TO ACOUSTICS PROBLEMS, Journal of Computational Acoustics, vol.322, issue.04, pp.487-505, 2008.
DOI : 10.1137/0142032

L. Kovalevsky, P. Ladevèze, H. Riou, and M. Bonnet, THE VARIATIONAL THEORY OF COMPLEX RAYS FOR THREE-DIMENSIONAL HELMHOLTZ PROBLEMS, Journal of Computational Acoustics, vol.228, issue.04, p.1250021, 2012.
DOI : 10.1007/978-3-662-02835-3

URL : https://hal.archives-ouvertes.fr/hal-00714312

O. Laghrouche and P. Bettess, SHORT WAVE MODELLING USING SPECIAL FINITE ELEMENTS, Journal of Computational Acoustics, vol.318, issue.01, pp.189-210, 2000.
DOI : 10.1002/fld.1650040702

E. Perrey-debain, O. Laghrouche, P. Bettess, and J. Trevelyan, Plane-wave basis finite elements and boundary elements for three-dimensional wave scattering, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.362, issue.1816, pp.561-577, 2004.
DOI : 10.1098/rsta.2003.1335

R. J. Astley and P. Gamallo, Special short wave elements for flow acoustics, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.2-5, pp.341-353, 2005.
DOI : 10.1016/j.cma.2004.01.042

J. Chazot, B. Nennig, and E. , Perrey-Debain, Performances of the Partition of Unity Finite Element Method for the twodimensional analysis of interior sound field with absorbing materials, J. Sound Vib, vol.332, 1918.

J. Chazot, E. Perrey-debain, and B. Nennig, The Partition of Unity Finite Element Method for the simulation of waves in air and poroelastic media, The Journal of the Acoustical Society of America, vol.135, issue.2, pp.724-733, 2014.
DOI : 10.1121/1.4845315

URL : https://hal.archives-ouvertes.fr/hal-01179025

R. Sugimoto, P. Bettess, and J. Trevelyan, A numerical integration scheme for special quadrilateral finite elements for the Helmholtz equation, Communications in Numerical Methods in Engineering, vol.101, issue.4, pp.233-245, 2002.
DOI : 10.1016/0021-9991(92)90016-R

P. Bettess, J. Shirron, O. Laghrouche, B. Peseux, R. Sugimoto et al., A numerical integration scheme for special finite elements for the Helmholtz equation, International Journal for Numerical Methods in Engineering, vol.54, issue.4, pp.56-531, 2003.
DOI : 10.1007/978-1-4612-2344-3

W. B. Gordon, Far-field approximations to the Kirchoff-Helmholtz representations of scattered fields, IEEE Transactions on Antennas and Propagation, vol.23, issue.4, pp.590-592, 1975.
DOI : 10.1109/TAP.1975.1141105

G. Gabard, Exact integration of polynomial-exponential products with application to wave-based numerical methods, Communications in Numerical Methods in Engineering, vol.50, issue.3, pp.237-246, 2009.
DOI : 10.1002/cnm.1123

A. Kacimi and O. Laghrouche, Improvement of PUFEM for the numerical solution of high-frequency elastic wave scattering on unstructured triangular mesh grids, International Journal for Numerical Methods in Engineering, vol.193, issue.22, pp.330-350, 2010.
DOI : 10.1007/978-3-642-61798-0

R. Hospital-bravo, J. Sarrate, and P. Díez, A semi-analytical scheme for highly oscillatory integrals over tetrahedra, International Journal for Numerical Methods in Engineering, vol.8, issue.1, 2017.
DOI : 10.1016/0041-5553(68)90016-5

M. J. Peake, J. Trevelyan, and G. Coates, The equal spacing of N points on a sphere with application to partition-of-unity wave diffraction problems, Engineering Analysis with Boundary Elements, vol.40, pp.40-114, 2014.
DOI : 10.1016/j.enganabound.2013.11.020

E. Perrey-debain, Plane wave decomposition in the unit disc: Convergence estimates and computational aspects, Journal of Computational and Applied Mathematics, vol.193, issue.1, pp.140-156, 2006.
DOI : 10.1016/j.cam.2005.05.027

R. Duraiswami, Z. Li, D. N. Zotkin, E. Grassi, and N. A. Gumerov, Plane-wave decomposition analysis for spherical microphone arrays, IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, 2005., 2005.
DOI : 10.1109/ASPAA.2005.1540191

N. A. Gumerov and R. Duraiswami, Fast multipole methods for the Helmholtz equation in three dimensions, 2004.

G. A. Evans and J. R. Webster, A comparison of some methods for the evaluation of highly oscillatory integrals, Journal of Computational and Applied Mathematics, vol.112, issue.1-2, pp.55-69, 1999.
DOI : 10.1016/S0377-0427(99)00213-7