G. Fix, S. Gulati, and G. Wakoff, On the use of singular functions with the finite element method, J. Comput. Phys, vol.13, pp.209-228, 1973.

N. Moës, J. Dolbow, and T. Belytschko, A finite element method for crack without remeshing, Int. J. Numer. Meth. Eng, vol.46, pp.131-150, 1999.

C. Daux, N. Moes, J. Dolbow, N. Sukumar, and T. Belytschko, Arbitrary branched and intersecting cracks with the extended finite element method, Int. J. Numer. Meth. Eng, vol.48, pp.1741-1760, 2000.
URL : https://hal.archives-ouvertes.fr/hal-01005274

P. Kyoungsoo, J. Pereira, C. Duarte, and G. Paulino, Integration of singular enrichment functions in the generalized/extended finite element method for threedimensional problems, Int. J. Numer. Meth. Eng, vol.78, pp.1220-1257, 2009.

A. Yazid, N. Abdelkader, and H. Abdelmadjid, A state-of-the-art review of the x-fem for computational fracture mechanics, Appl. Math. Model, vol.33, issue.12, pp.4269-4282, 2009.

J. Melenk and I. Babu?ka, The partition of unity finite element method: Basic theory and applications, Comput. Meth. Appl. M, vol.139, pp.289-314, 1996.

R. Barsoum, On the use of isoparametric finite element in linear fracture mechanics, Int. J. Numer. Meth. Eng, vol.10, pp.25-37, 1976.

R. Henshell and K. Shaw, Crack tip finite elements are unnecessary, Int. J. Numer. Meth. Eng, vol.9, pp.485-507, 1975.

M. Ainsworth and T. J. Oden, A Posteriori Error Estimation in Finite Element Analysis, 2000.

L. Demkowicz, J. Kurtz, D. Pardo, M. Paszynski, W. Rachowicz et al., Frontiers Three Dimensional Elliptic and Maxwell Problems with Applications, vol.2, 2007.

C. Schwab, High-Order Methods for Computational Physics, vol.9, pp.325-438, 1999.

T. Apel, Anisotropic Finite Elements: Local Estimates and Applications, Advances in Numerical Mathematics, 1999.

M. Farhloul, S. Nicaise, and L. Paquet, Some mixed finite element methods on anisotropic meshes, ESAIM, vol.35, issue.5, pp.907-920, 2001.

G. Acosta, T. Apel, R. Durán, and A. Lombardi, Error estimates for raviart-thomas interpolation of any order on anisotropic tetrahedra, Math. Comput, vol.80, issue.273, pp.141-163, 2011.

H. Li and S. Nicaise, Regularity and a priori error analysis on anisotropic meshes of a Dirichlet problem in polyhedral domains, Numer. Math, vol.139, pp.47-92, 2018.

G. Tsamasphyrosm and A. Giannakopoulos, The mapped elements for the solution of cracked bodies, Comput. Meth. Appl. Mech, vol.49, issue.3, pp.331-342, 1985.

M. Chiaramonte, Y. Shen, and A. Lew, Mapped finite element methods: High-order approximations of problems on domains with cracks and corners, Int. J. Numer. Meth. Eng, vol.11, pp.864-900, 2017.

J. Babu?ka, B. Andersson, B. Guo, J. Melenk, and H. Oh, Finite element method for solving problems with singular solutions, J. Comput. Math, vol.74, issue.1-2, pp.51-70, 1996.

D. Boffi, F. Brezzi, and M. Fortin, Mixed Finite Element Methods and Applications, vol.44, 2013.

D. Arnold, D. Boffi, and R. Falk, Quadrilateral H(div) finite elements, SIAM J. Numer. Anal, vol.42, issue.6, pp.2429-2451, 2005.

L. Demkowicz, Polynomial exact sequence and projection-based interpolation with application maxwell equations, Mixed Finite Elements, Compatibility Conditions and Applications, pp.101-158, 2008.

P. Solin, K. Segeth, and I. Dolezel, Higher-Order Finite Element Methods, 2004.

S. Zaglamayr, Hight order finite element methods for electromagnetic field computation, 2006.

D. Siqueira, P. Devloo, and S. Gomes, A new procedure for the construction of hierarchical high order hdiv and hcurl finite element spaces, J. Comput. Appl. Math, vol.240, pp.204-214, 2013.

D. Castro, P. Devloo, A. Farias, S. Gomes, and D. Siqueira, Three dimensional hierarchical mixed finite element approximations with enhanced primal variable accuracy, Comput. Method. Appl. M, vol.306, pp.479-502, 2016.
DOI : 10.1016/j.cma.2016.03.050

P. Devloo, A. Farias, S. Gomes, and D. Siqueira, Two-dimensional hp-adaptive finite element spaces for mixed formulations, Math. Comput. Simulat, vol.126, pp.104-122, 2016.
DOI : 10.1016/j.matcom.2016.03.009

P. Devloo, O. Durán, S. Gomes, and N. Shauer, Mixed finite element approximations based on 3D hp-adaptive curved meshes with two types of h(div)-conforming spaces, Int. J. Numer. Meth. Eng, vol.113, issue.7, pp.1045-1060, 2017.

R. Durán, Mixed finite element methods, Mixed Finite Elements, Compatibility Conditions and Applications, pp.1-44, 2008.

A. Ern and J. Guermond, Finite element quasi-interpolation and best approximation, ESAIM, vol.51, issue.4, pp.1367-1385, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01155412

A. Farias, P. Devloo, S. Gomes, D. Siqueira, and D. Castro, Two dimensional mixed finite element approximations for elliptic problems with enhanced accuracy for the potential and flux divergence, Comput. Math. Appl, vol.74, issue.12, pp.3283-3295, 2017.
DOI : 10.1016/j.camwa.2017.08.013

R. Barsoum, Triangular quarter-point elements as elastic and perfectly-plastic crack tip elements, Int. J. Numer. Meth. Eng, vol.11, pp.85-98, 1977.
DOI : 10.1002/nme.1620110109

T. Forti, A. Farias, P. Devloo, and S. Gomes, A comparative numerical study of different finite element formulations for 2D model elliptic problems: continuous and discontinuous galerkin, mixed and hybrid methods, Finite Elem. Anal. Des, vol.115, pp.9-20, 2016.