Y. Bazilevs, L. B. Da-veiga, J. A. Cottrell, T. J. Hughes, and G. Sangalli, ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES, Mathematical Models and Methods in Applied Sciences, vol.16, issue.07, pp.1031-1090, 2006.
DOI : 10.1142/S0218202506001455

A. Tagliabue, L. Dedé, and A. Quarteroni, Isogeometric Analysis and error estimates for high order partial differential equations in fluid dynamics Computers & Fluids, pp.277-303, 2014.

E. Cohen, T. Martin, R. Kirby, T. Lyche, and R. Riesenfeld, Analysis-aware modeling: Understanding quality considerations in modeling for isogeometric analysis, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.5-8, pp.334-356, 2010.
DOI : 10.1016/j.cma.2009.09.010

G. Xu, B. Mourrain, R. Duvigneau, and A. Galligo, Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method, Journal of Computational Physics, vol.252, pp.275-289, 2013.
DOI : 10.1016/j.jcp.2013.06.029
URL : https://hal.archives-ouvertes.fr/inria-00585663

G. Xu, B. Mourrain, R. Duvigneau, and A. Galligo, Parameterization of computational domain in isogeometric analysis: Methods and comparison, Computer Methods in Applied Mechanics and Engineering, vol.200, issue.23-24, pp.2021-2031, 2011.
DOI : 10.1016/j.cma.2011.03.005

J. Lu, Circular element: Isogeometric elements of smooth boundary, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.30-32, pp.2391-2402, 2009.
DOI : 10.1016/j.cma.2009.02.029

M. Wu, B. Mourrain, A. Galligo, and B. Nkonga, Hermite type spline spaces over rectangular meshes with arbitrary topology accepted by Communications in Computational Physics, 2016.

T. Takacs and B. Jüttler, Existence of stiffness matrix integrals for singularly parameterized domains in isogeometric analysis, Computer Methods in Applied Mechanics and Engineering, vol.200, issue.49-52, pp.3568-3582, 2011.
DOI : 10.1016/j.cma.2011.08.023

T. Takacs and B. Jüttler, <mml:math altimg="si27.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mrow><mml:msup><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math> regularity properties of singular parameterizations in isogeometric analysis, Graphical Models, vol.74, issue.6, pp.361-372, 2012.
DOI : 10.1016/j.gmod.2012.05.006

T. Takacs, Approximation properties of isogeometric function spaces on singularly parameterized domains preprint

T. Takacs, Construction of smooth isogeometric function spaces on singularly parameterized domains. Curves and Surfaces 2014, LNCS, vol.9213, pp.433-451, 2015.

J. W. Jeong, H. Oh, S. Kang, and H. Kim, Mapping techniques for isogeometric analysis of elliptic boundary value problems containing singularities, Computer Methods in Applied Mechanics and Engineering, vol.254, pp.334-352, 2013.
DOI : 10.1016/j.cma.2012.09.009

H. Oh, H. Kim, and J. W. Jeong, Enriched isogeometric analysis of elliptic boundary value problems in domains with cracks and/or corners, International Journal for Numerical Methods in Engineering, vol.20, issue.5-8, pp.149-180, 2014.
DOI : 10.1002/nme.4580

G. Strang and G. Fix, An Analysis of the Finite-Element Method, Journal of Applied Mechanics, vol.41, issue.1, 1973.
DOI : 10.1115/1.3423272

J. Deng, F. Chen, and Y. Feng, Dimensions of spline spaces over T-meshes, Journal of Computational and Applied Mathematics, vol.194, issue.2, pp.267-283, 2006.
DOI : 10.1016/j.cam.2005.07.009

G. Constantine and T. Savits, A multivariate faa di bruno formula with applications Transactions of the, pp.503-520, 1996.

Z. Yosibash and B. Schiff, Superelements for the finite element solution of twodimensional elliptic problems with boundary singularities Finite Elements in Analysis and Design, pp.315-335, 1997.

P. G. Ciarlet and P. A. Raviart, General lagrange and hermit interpolation in R n with applications to finite element methods, Archive for Rational Mechanics and Analysis, pp.177-199, 1972.

M. Wu, B. Mourrain, A. Galligo, and B. Nkonga, H1-parameterizations of planar physical domains with complex topology in isogeometric analysis., preprint, https, 2015.