N. Sukumar, D. L. Chopp, E. Béchet, and N. Moës, Three-dimensional non-planar crack growth by a coupled extended finite element and fast marching method, Int. J. Num. Meth. Eng, vol.76, pp.727-748, 2008.

X. Li and L. M. Keer, A direct method for solving crack growth problems-II. Shear mode problems, Int. J. Solids Struct, vol.29, pp.2749-2760, 1992.

Y. Mi and M. H. Aliabadi, Three-dimensional crack growth simulation using BEM, Comput. Struct, vol.52, pp.871-878, 1994.

Y. Mi, Three-dimensional analysis of crack growth, 1996.

E. Yoshida and K. , Applications of fast multipole method to boundary integral equation method, 2001.

A. Frangi, G. Novati, R. Springhetti, and M. Rovizzi, 3D fracture analysis by the symmetric Galerkin BEM, Comput. Mech, vol.28, pp.220-232, 2002.

C. Brebbia, W. Wendland, and G. Kuhn, Symmetrie methods for the coupling of finite elements and boundary elements, Boundary Elements IX, vol.1, pp.411-420, 1987.

S. Ganguly, J. B. Layton, and C. Balakrishna, Symmetric coupling of multi-zone curved Galerkin boundary elements with finite elements in elasticity, Int. J. Num. Meth. Eng, vol.48, pp.633-654, 2000.

R. Margonari-;-springhetti, G. Novati, and M. Margonari, Weak coupling of the Symmetric Galerkin BEM with FEM for potential and elastostatic problems, Comput. Mod. Eng. Sci, vol.13, issue.9, pp.67-80, 2006.

S. Sauter, C. Schwab, M. Costabel, and E. P. Stephan, An improved boundary element Galerkin method for three-dimensional crack problems, Integ. Equ. Oper. Theory, vol.10, issue.11, pp.467-504, 1987.

A. Frangi, Fracture propagation in 3D by the symmetric Galerkin boundary element method, Int. J. Fract, vol.116, pp.313-330, 2002.

D. J. Roberts, A. Phan, H. V. Tippur, L. J. Gray, and T. Kaplan, SGBEM modeling of fatigue crack growth in particulate composites, Archive Appl. Mech, vol.80, pp.307-322, 2010.

R. Kitey, A. Phan, H. V. Tippur, and T. Kaplan, Modeling of crack growth through particulate clusters in brittle matrix by symmetric-Galerkin boundary element method, Int. J. Fract, vol.141, pp.11-25, 2006.

K. Xu, T. Lie, S. Cen, and Z. , Crack propagation analysis with Galerkin boundary element method, Int. J. Numer. Anal. Meth. Geomech, vol.28, pp.421-435, 2004.

L. Távara, V. Manti?, A. Salvadori, L. J. Gray, and F. París, SGBEM for cohesive cracks in homogeneous media, Key Eng. Mater, vol.454, pp.1-10, 2011.

L. Greengard and V. Rokhlin, A fast algorithm for particle simulations, J. Comp. Phys, vol.73, pp.325-348, 1987.

B. Chaillat, S. Semblat, and J. F. Bonnet, A preconditioned 3-D multi-region fast multipole solver for seismic wave propagation in complex geometries, Commun. Comput. Phys, vol.11, pp.594-609, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00495193

Q. T. Trinh, Modelling multizone and multicrack in three-dimensional elastostatic media: a Fast multipole Galerkin Boundary Element Method, 2014.

Z. Han-;-han and S. N. Atluri, SGBEM (for cracked local subdomain) -FEM (for uncracked global structure) alternating method for analyzing 3D surface cracks and their fatigue growth, Comput. Mod. Eng. Sci, vol.3, pp.699-716, 2002.

G. Nikishkov, S. N. Atluri, and S. , Combining SGBEM and FEM for modeling 3D cracks, pp.167-192, 2002.
DOI : 10.4203/csets.8.8

N. Bonnet, M. Pham, D. Mouhoubi, S. Bonnet, M. Chazallon et al., Fast multipole method applied to symmetric Galerkin boundary element method for 3D elasticity and fracture problems, Eng. Anal. Bound. Elem, vol.36, pp.1838-1847, 1999.
URL : https://hal.archives-ouvertes.fr/hal-00721705

Q. T. Trinh-;-trinh, S. Mouhoubi, C. Chazallon, and M. Bonnet, Solving multizone and multicrack elastostatic problems: A fast multipole symmetric Galerkin boundary element method approach, Eng. Anal. Bound. Elem, vol.50, pp.486-495, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01082068

S. Li, M. E. Mear, and L. Xiao, Symmetric weak-form integral equation method for three-dimensional fracture analysis, Comp. Meth. Appl. Mech. Eng, vol.151, pp.435-459, 1998.
DOI : 10.1016/s0045-7825(97)00199-0

D. P. Ooke-book-;-rooke, M. H. Aliabadi, D. P. Rooke, and D. J. Cartwright, An improved boundary element formulation for calculating stress intensity factors: Application to aerospace structures, Compendium of stress intensity factors. H.M. Stationery Office. London. e_Alibadi [27], vol.22, pp.203-207, 1976.

R. S. Barsoum, On the use of isoparametric finite element in linear fracture mechanics, Int. J. Num. Meth. Eng, vol.10, pp.25-37, 1974.

P. Paris-;-paris and F. Erdogan, A critical analysis of crack propagation laws, J. Basic Eng, vol.85, pp.528-533, 1963.

P. O. Bouchard, F. Bay, and Y. Chastel, Numerical modeling of crack propagation: automatic remeshing and comparison of different criteria, Comput Methods Appl Mech Eng, vol.192, pp.3887-3908, 2003.

S. Ma, Propagation de fissure en mode mixte dans un milieuélasto-plastique avec prise en compte des contraintes résiduelles, 2005.

C. T. Sun, Z. Jin, F. Erdogan, and G. C. Sih, On the crack extension in plates under plane loading and transverse shear, J. Basic Eng, vol.85, pp.519-525, 1963.

H. Andra-;-andrä and E. Schnack, Integration of singular Galerkin-type boundary element integrals for 3D elasticity problems, Numerische Mathematik, vol.76, pp.143-165, 1997.

M. Rezayat, D. J. Shippy, and F. J. Rizzo, On time-harmonic elastic-wave analysis by the boundary element method for moderate to high frequencies, Comp. Meth. Appl. Mech. Eng, vol.55, pp.349-367, 1986.

Y. Gray, L. J. Paulino, and G. H. , Symmetric Galerkin boundary integral formulation for interface and multizone problems, Int. J. Num. Meth. Eng, vol.40, pp.3085-3101, 1997.
DOI : 10.1002/(sici)1097-0207(19970830)40:16<3085::aid-nme194>3.0.co;2-u

V. Fraysse, L. Giraud, and S. Gratton, A set of Flexible-GMRES routines for real and complex arithmetics, 1998.

L. Greengard and W. D. Gropp, A parallel version of the fast multipole method, Comput. Math. Appl, vol.20, issue.7, pp.63-71, 1990.
DOI : 10.21236/ada199804

URL : http://www.dtic.mil/dtic/tr/fulltext/u2/a199804.pdf

R. Adelman, N. Gumerov, and R. Duraiswami, FMM/GPU-accelerated boundary element method for computational magnetics and electrostatics, IEEE Trans. Magn, vol.53, pp.1-11, 2017.
DOI : 10.1109/tmag.2017.2725951

J. Gu and A. M. Zsaki, Accelerated parallel computation of field quantities for the boundary element method applied to stress analysis using multi-core CPUs, GPUs and FPGAs, Cogent Eng, vol.5, pp.1-21, 2018.

J. Ptaszny, Parallel fast multipole boundary element method applied to computational homogenization, AIP Conference Proceedings, vol.1922, issue.1, p.140003, 2018.
DOI : 10.1063/1.5019145

URL : https://aip.scitation.org/doi/pdf/10.1063/1.5019145

Y. Saad, SPARSKIT, a basic tool kit for sparse matrix computations, 1990.

I. S. Raju and J. C. Newman, Stress-intensity factors for a wide range of semi-elliptical surface cracks in finite-thickness plates, Eng. Fract. Mech, vol.11, pp.817-829, 1979.

D. Feng and Q. Hong, Investigation of surface crack opening displacement and its application in pressure vessels and piping, Int. J. Pressure Vessels Piping, vol.52, pp.227-239, 1992.

M. K. Ramezani, J. Purbolaksono, A. Andriyana, S. Ramesh, and N. A. Mardi, Analysis of surface cracks in round bars using dual boundary element method, Eng. Anal. Bound. Elem, vol.93, pp.112-123, 2018.

T. L. Anderson, Fracture Mechanics: Fundamentals and Applications, 2005.

M. L. Williams, S. Chaillat, S. Groth, and A. Loseille, Metric-based anisotropic mesh adaptation for 3D acoustic boundary element methods, J. Comput. Phys, vol.24, pp.473-499, 1957.