M. Aigner, C. Heinrich, B. Jüttler, E. Pilgerstorfer, B. Simeon et al., Swept volume parametrization for isogeometric analysis, The Mathematics of Surfaces (MoS XIII 2009), pp.19-44, 2009.
DOI : 10.1007/978-3-642-03596-8_2
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.212.8875

M. Ainswort and J. Oden, A posteriori error estimation in finite element analysis, Computer Methods in Applied Mechanics and Engineering, vol.142, issue.1-2, 2002.
DOI : 10.1016/S0045-7825(96)01107-3

F. Auricchio, L. B. Da-veiga, A. Buffa, C. Lovadina, A. Reali et al., A fully ???locking-free??? isogeometric approach for plane linear elasticity problems: A stream function formulation, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.1-4, pp.160-172, 2007.
DOI : 10.1016/j.cma.2007.07.005

Y. Bazilevs, L. Beirao-de-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

Y. Bazilevs, V. M. Calo, T. J. Hughes, and Y. Zhang, Isogeometric fluid-structure interaction: theory, algorithms, and computations, Computational Mechanics, vol.196, issue.2, pp.3-37, 2008.
DOI : 10.1007/s00466-008-0315-x

Y. Bazilevs, V. M. Calo, Y. Zhang, and T. J. Hughes, Isogeometric Fluid???structure Interaction Analysis with Applications to Arterial Blood Flow, Computational Mechanics, vol.193, issue.2, pp.310-322, 2006.
DOI : 10.1007/s00466-006-0084-3

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

K. H. Brakhage, . Ph, and . Lamby, Application of B-spline techniques to the modeling of airplane wings and numerical grid generation, Computer Aided Geometric Design, vol.25, issue.9, pp.738-750, 2008.
DOI : 10.1016/j.cagd.2008.07.010

D. Burkhart, B. Hamann, and G. Umlauf, Iso-geometric Finite Element Analysis Based on Catmull-Clark : ubdivision Solids, Computer Graphics Forum, vol.1, issue.2, pp.1575-1584, 2010.
DOI : 10.1111/j.1467-8659.2010.01766.x

W. Cao, W. Huang, and R. D. Russell, Anr-Adaptive Finite Element Method Based upon Moving Mesh PDEs, Journal of Computational Physics, vol.149, issue.2, pp.221-244, 1999.
DOI : 10.1006/jcph.1998.6151

G. Celniker and D. Gossard, Deformable curve and surface finite-elements for free-form shape design, Procs of SIGGRAPH'91), pp.257-266, 1991.
DOI : 10.1145/127719.122746

E. Cohen, T. Martin, R. M. Kirby, T. Lyche, and R. F. 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.5-8, 2010.
DOI : 10.1016/j.cma.2009.09.010

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

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

T. Dokken, V. Skytt, J. Haenisch, and K. Bengtsson, Isogeometric representation and analysis?bridging the gap between CAD and analysis. 47th AIAA Aerospace Sciences Meeting including The New Horizons Forum and Aerospace Exposition, pp.5-8, 2009.

M. Dörfel, B. Jüttler, and B. Simeon, Adaptive isogeometric analysis by local h-refinement with T-splines, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.5-8, pp.5-8, 2010.
DOI : 10.1016/j.cma.2008.07.012

R. Duvigneau, An introduction to isogeometric analysis with application to thermal conduction, 2009.
URL : https://hal.archives-ouvertes.fr/inria-00394151

T. Elguedj, Y. Bazilevs, V. M. Calo, and T. J. Hughes, and projection methods for nearly incompressible linear and non-linear elasticity and plasticity using higher-order NURBS elements, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.33-40, pp.2732-2762, 2008.
DOI : 10.1016/j.cma.2008.01.012
URL : https://hal.archives-ouvertes.fr/hal-00457010

J. A. Evans, Y. Bazilevs, I. Babuka, and T. J. Hughes, 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

G. Farin, Curves and Surfaces for Computer Aided Geometric Design: A Practical Guide, 2001.

G. Farin and D. Hansford, Discrete Coons patches, Computer Aided Geometric Design, vol.16, issue.7, pp.691-700, 1999.
DOI : 10.1016/S0167-8396(99)00031-X

J. Gain and N. Dodgson, Preventing self-intersection under free-form deformation, IEEE Transactions on Visualization and Computer Graphics, vol.7, issue.4, pp.289-298, 2001.
DOI : 10.1109/2945.965344

P. Gill, W. Murray, and . Wright, Practical Optimization, 1981.

H. Gomez, V. M. Calo, Y. Bazilevs, and T. J. Hughes, Isogeometric analysis of the Cahn???Hilliard phase-field model, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.49-50, pp.4333-4352, 2008.
DOI : 10.1016/j.cma.2008.05.003

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.39-41, 2005.
DOI : 10.1016/j.cma.2004.10.008
URL : https://hal.archives-ouvertes.fr/hal-01513346

T. J. Hughes, A. Realli, and G. Sangalli, Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: Comparison of p-method finite elements with k-method NURBS, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.49-50, pp.4104-4124, 2008.
DOI : 10.1016/j.cma.2008.04.006

T. J. Hughes, A. Realli, and G. Sangalli, Efficient quadrature for NURBS-based isogeometric analysis, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.5-8, pp.5-8, 2010.
DOI : 10.1016/j.cma.2008.12.004

H. Kestelman, Mappings with Non-Vanishing Jacobian, The American Mathematical Monthly, vol.78, issue.6, pp.662-663, 1971.
DOI : 10.2307/2316581

H. J. Kim, Y. Seo, and S. Youn, Isogeometric analysis for trimmed CAD surfaces, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.37-40, pp.37-40, 2009.
DOI : 10.1016/j.cma.2009.05.004

T. Martin, E. Cohen, and R. M. Kirby, Volumetric parameterization and trivariate B-spline fitting using harmonic functions, Computer Aided Geometric Design, vol.26, issue.6, pp.648-664, 2009.
DOI : 10.1016/j.cagd.2008.09.008
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.140.2120

D. S. Mcrae, r-Refinement grid adaptation algorithms and issues, Computer Methods in Applied Mechanics and Engineering, vol.189, issue.4, pp.1161-1182, 2000.
DOI : 10.1016/S0045-7825(99)00372-2

K. M. Morken, Some identities for products and degree raising of splines, Constructive Approximation, vol.1, issue.1, pp.195-208, 1991.
DOI : 10.1007/BF01888153

T. Nguyen and B. Jüttler, Using approximate implicitization for domain parameterization in isogeometric analysis, International Conference on Curves and Surfaces, 2010.

G. Xu, B. Mourrain, R. Duvigneau, and A. Galligo, Optimal analysis-aware parameterization of computational domain in isogeometric analysis, Proc. of Geometric Modeling and Processing, pp.236-254, 2010.
URL : https://hal.archives-ouvertes.fr/inria-00440130

Y. Zhang, Y. Bazilevs, S. Goswami, C. Bajaj, and T. J. Hughes, Patient-specific vascular NURBS modeling for isogeometric analysis of blood flow, Computer Methods in Applied Mechanics and Engineering, vol.196, issue.29-30, pp.2943-2959, 2007.
DOI : 10.1016/j.cma.2007.02.009