T. J. Hughes, J. A. Cottrell, and Y. Bazilevs, Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.39-41, pp.4135-4195, 2005.
DOI : 10.1016/j.cma.2004.10.008

URL : https://hal.archives-ouvertes.fr/hal-01513346

J. A. Cottrell, T. J. Hughes, and Y. Bazilevs, Isogeometric analysis: Toward Integration of CAD and FEA, 2009.
DOI : 10.1002/9780470749081

J. Evans, Y. Bazilevs, I. Babuska, and T. J. , n-Widths, sup???infs, and optimality ratios for the k-version of the isogeometric finite element method, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.21-26, pp.1726-1741, 2009.
DOI : 10.1016/j.cma.2009.01.021

J. A. Cottrell, A. Reali, Y. Bazilevs, and T. J. Hughes, Isogeometric analysis of structural vibrations, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.41-43, pp.5257-5296, 2006.
DOI : 10.1016/j.cma.2005.09.027

URL : https://hal.archives-ouvertes.fr/hal-01516398

D. Schillinger, J. A. Evans, A. Reali, M. A. Scott, and T. J. Hughes, Isogeometric Collocation: Cost Comparison with Galerkin Methods and Extension to Adaptive Hierarchical NURBS Discretizations, PAMM, vol.13, issue.1, pp.170-232, 2013.
DOI : 10.1002/pamm.201310049

D. Schillinger, M. Ruess, N. Zander, Y. Bazilevs, A. Düster et al., Small and large deformation analysis with the p- and B-spline versions of the Finite Cell Method, Computational Mechanics, vol.46, issue.1???2, pp.50-445, 2012.
DOI : 10.1007/978-3-540-32360-0

R. Echter and M. Bischoff, Numerical efficiency, locking and unlocking of NURBS finite elements, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.5-8, pp.374-382, 2010.
DOI : 10.1016/j.cma.2009.02.035

R. Bouclier, T. Elguedj, and A. Combescure, An isogeometric locking-free NURBS-based solid-shell element for geometrically nonlinear analysis, International Journal for Numerical Methods in Engineering, vol.178, issue.216, pp.774-808, 2015.
DOI : 10.1016/S0045-7825(99)00006-7

V. P. Nguyen, P. Kerfriden, M. Brino, S. P. Bordas, and E. Bonisoli, Nitsche???s method for two and three dimensional NURBS patch coupling, Computational Mechanics, vol.200, issue.14, pp.53-1163, 2014.
DOI : 10.1016/j.cma.2010.08.014

URL : http://arxiv.org/abs/1308.0802

C. A. Duarte and D. J. Kim, Analysis and applications of a generalized finite element method with global???local enrichment functions, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.6-8, pp.487-504, 2008.
DOI : 10.1016/j.cma.2007.08.017

J. C. Passieux, J. Réthoré, A. Gravouil, and M. C. Baietto, Local/global nonintrusive crack propagation simulation using multigrid XFEM solver, Computational Mechanics, pp.52-1381, 2013.
DOI : 10.1007/s00466-013-0882-3

URL : https://hal.archives-ouvertes.fr/hal-00824125

L. Gendre, O. Allix, P. Gosselet, and F. Comte, Non-intrusive and exact global/local techniques for structural problems with local plasticity, Computational Mechanics, vol.36, issue.1, pp.44-233, 2009.
DOI : 10.1007/s00466-009-0372-9

URL : https://hal.archives-ouvertes.fr/hal-00437023

C. Rabut, Locally tensor product functions, Numerical Algorithms, vol.17, issue.3, pp.329-348, 2005.
DOI : 10.1007/s11075-004-3646-5

A. V. Vuong, C. Giannelli, B. Juttler, and B. Simeon, A hierarchical approach to adaptive local refinement in isogeometric analysis, Computer Methods in Applied Mechanics and Engineering, vol.200, issue.49-52, pp.3554-3567, 2011.
DOI : 10.1016/j.cma.2011.09.004

D. Schillinger, L. Dede, M. A. Scott, J. A. Evans, M. J. Borden et al., An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces, Computer Methods in Applied Mechanics and Engineering, vol.249, issue.252, pp.249-252, 2012.
DOI : 10.1016/j.cma.2012.03.017

T. Dokken, T. Lyche, and K. F. Pettersen, Polynomial splines over locally refined box-partitions, Computer Aided Geometric Design, vol.30, issue.3, pp.331-356, 2013.
DOI : 10.1016/j.cagd.2012.12.005

Y. Bazilevs, V. M. Calo, J. A. Cottrell, J. A. Evans, T. J. Hughes et al., Isogeometric analysis using T-splines, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.5-8, pp.229-263, 2010.
DOI : 10.1016/j.cma.2009.02.036

URL : https://hal.archives-ouvertes.fr/hal-01517950

M. A. Scott, X. Li, T. W. Sederberg, and T. J. Hughes, Local refinement of analysis-suitable T-splines, Computer Methods in Applied Mechanics and Engineering, vol.213, pp.216-206, 2012.
DOI : 10.21236/ada555339

L. Beirão-da-veiga, A. Buffa, D. Cho, and G. Sangalli, Analysis-suitable Tsplines are dual-compatible, Computer Methods in Applied Mechanics and Engineering, vol.249, pp.42-51, 2012.

A. Chemin, T. Elguedj, and A. , Isogeometric local h-refinement strategy based on multigrids, Finite Elements in Analysis and Design, pp.77-90, 2017.

C. Hesch and P. Betsch, Isogeometric analysis and domain decomposition methods, Computer Methods in Applied Mechanics and Engineering, vol.213, issue.216, pp.216-104, 2012.
DOI : 10.1016/j.cma.2011.12.003

URL : http://doi.org/10.1016/j.cma.2011.12.003

E. Brivadis, A. Buffa, B. Wohlmuth, and L. Wunderlich, Isogeometric mortar methods, Computer Methods in Applied Mechanics and Engineering, vol.284, pp.292-319, 2015.
DOI : 10.1016/j.cma.2014.09.012

URL : http://arxiv.org/pdf/1407.8313

A. Apostolatos, R. Schmidt, R. Wuchner, and K. U. Bletzinger, A Nitschetype formulation and comparison of the most common domain

R. Bouclier, J. Passieux, and M. Salaün, Local enrichment of NURBS patches using a non-intrusive coupling strategy: Geometric details, local refinement, inclusion, fracture, Computer Methods in Applied Mechanics and Engineering, vol.300, pp.1-26, 2016.
DOI : 10.1016/j.cma.2015.11.007

URL : https://hal.archives-ouvertes.fr/hal-01295461

E. Cohen, T. Lyche, and R. Riesenfeld, Discrete B-splines and subdivision techniques in computer-aided geometric design and computer graphics, Computer Graphics and Image Processing, vol.14, issue.2, pp.14-87, 1980.
DOI : 10.1016/0146-664X(80)90040-4

L. Piegl and W. Tiller, The NURBS Book (Monographs in Visual Communication ), second ed, 1997.

G. Farin, Curves and Surfaces for CAGD, A Practical Guide, Fifth Edition, 1999.

D. F. Rogers, An introduction to NURBS With Historical Perspective, 2001.

J. A. Cottrell, T. J. Hughes, and A. Reali, Studies of refinement and continuity in isogeometric structural analysis, Computer Methods in Applied Mechanics and Engineering, vol.196, issue.41-44, pp.4160-4183, 2007.
DOI : 10.1016/j.cma.2007.04.007

C. Farhat and F. X. Roux, A method of finite element tearing and interconnecting and its parallel solution algorithm, International Journal for Numerical Methods in Engineering, vol.28, issue.6, pp.1205-1227, 1991.
DOI : 10.1016/B978-0-12-068650-6.50029-0

P. Gosselet and C. Rey, Non-overlapping domain decomposition methods in structural mechanics, Archives of Computational Methods in Engineering, vol.48, issue.2, pp.515-572, 2006.
DOI : 10.1016/S0764-4442(01)02028-6

URL : https://hal.archives-ouvertes.fr/hal-01224408

J. C. Passieux, P. Ladevèze, and D. Néron, A scalable time???space multiscale domain decomposition method: adaptive time scale separation, Computational Mechanics, vol.39, issue.32???33, pp.46-621, 2010.
DOI : 10.1093/acprof:oso/9780199233854.003.0009

Y. Bazilevs, M. C. Hsu, and M. A. Scott, Isogeometric fluid???structure interaction analysis with emphasis on non-matching discretizations, and with application to wind turbines, Computer Methods in Applied Mechanics and Engineering, vol.249, issue.252, pp.249-252, 2012.
DOI : 10.1016/j.cma.2012.03.028

A. Fritz, S. Hüeber, and B. Wohlmuth, A comparison of mortar and Nitsche techniques for linear elasticity, Calcolo, vol.41, issue.3, pp.115-137, 2004.
DOI : 10.1007/s10092-004-0087-4

D. Schillinger and M. Ruess, The Finite Cell Method: A Review in the Context of Higher-Order Structural Analysis of CAD and Image-Based Geometric Models, Archives of Computational Methods in Engineering, vol.50, issue.11, pp.1-65, 2015.
DOI : 10.1002/nme.146

A. P. Nagy and D. J. Benson, On the numerical integration of trimmed isogeometric elements, Computer Methods in Applied Mechanics and Engineering, vol.284, pp.165-185, 2015.
DOI : 10.1016/j.cma.2014.08.002